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Yu Miao - One of the best experts on this subject based on the ideXlab platform.
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numerical simulation of heat conduction problems by a new fast multipole hybrid Boundary Node method
Numerical Heat Transfer Part B-fundamentals, 2013Co-Authors: Qiao Wang, Yu Miao, Hongping ZhuAbstract:The fast multipole method (FMM) is an effective technique to reduce the computational cost in solving large-scale problems. In this article, a new fast multipole hybrid Boundary-Node method (FM-HBNM) is presented to solve three-dimensional heat conduction problems. In the new FM-HBNM, a diagonal form for translation operators is used and the computational cost of the multipole to local (M2L) translation is further reduced. Formulations for the new FM-HBNM are derived. The computational costs for the original and new FM-HBNM are estimated. The numerical results show that a speed-up about 2–3 times can be achieved by the new FM-HBNM.
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a new formulation for thermal analysis of composites by hybrid Boundary Node method
International Journal of Heat and Mass Transfer, 2013Co-Authors: Qiao Wang, Yu Miao, Hongping ZhuAbstract:Abstract In this paper, a new formulation based on the hybrid Boundary Node method (Hybrid BNM) is proposed for thermal analysis of composites. The Hybrid BNM is a Boundary type meshless method which based on the modified variational principle and the Moving Least Squares (MLS) approximation. In the new formulation, continuity conditions are used as the conventional multi-domain solver and the unknowns of the interfaces are assembled only once in the final system equation, which can reduce both the computational time and memory required. The new formulation is quiet suitable for the inclusion-based composites, especially for the case when the inclusions are solid and totally embedded in the matrix domain. The carbon nanotubes (CNTs) based composites are also discussed and studied by the new formulation. It shows that the thickness of the CNT has little influence on the thermal properties of the composites. Numerical examples are presented to verify the new formulation and the results have shown the accuracy and efficiency of the new formulation.
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Thermal analysis of 3D composites by a new fast multipole hybrid Boundary Node method
Computational Mechanics, 2013Co-Authors: Yu Miao, Qiao Wang, Yinping LiAbstract:This paper applies the hybrid Boundary Node method (Hybrid BNM) for the thermal analysis of 3D composites. A new formulation is derived for the inclusion-based composites. In the new formulation, the unknowns of the interfaces are assembled only once in the final system equation, which can reduce nearly one half of degrees of freedom (DOFs) compared with the conventional multi-domain solver when there are lots of inclusions. A new version of the fast multipole method (FMM) is also coupled with the new formulation and the technique is applied to thermal analysis of composites with many inclusions. In the new fast multipole hybrid Boundary Node method (FM-HBNM), a diagonal form for translation operators is used and the method presented can be applied to the computation of more than 1,000,000 DOFs on a personal computer. Numerical examples are presented to analyze the thermal behavior of composites with many inclusions.
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Boundary Node method based on parametric space for 2D elasticity
Engineering Analysis With Boundary Elements, 2013Co-Authors: J. H. Lv, Yu MiaoAbstract:Abstract This paper presents a new implementation of the Boundary Node method (BNM) for 2D elasticity based on the parametric space. The BNM couples the Boundary integral equations (BIE) with the moving least square (MLS) approximation, which retains the dimensionality advantage and the meshless attribute. However, the BNM is performed on an approximate geometry by MLS fitting and geometry errors are inevitable. In this paper, the BNM is implemented directly on the Boundary representation (B-rep) data structure used in most CAD packages for geometry modeling, which named the Boundary line method (BLM). The integration quantities, such as the coordinates of Gauss points, the outward normal and Jacobian are calculated directly from the lines represented in a parametric form which are the same as the real Boundary, and thus no errors will be introduced. A new integration scheme has been developed to deal with weakly singular integrals easily. Numerical results presented in this paper show excellent accuracy and high convergence rate.
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A fast multipole hybrid Boundary Node method for composite materials
Computational Mechanics, 2012Co-Authors: Qiao Wang, Yu MiaoAbstract:This article presents a multi-domain fast multipole hybrid Boundary Node method for composite materials in 3D elasticity. The hybrid Boundary Node method (hybrid BNM) is a meshless method which only requires Nodes constructed on the surface of a domain. The method is applied to 3D simulation of composite materials by a multi-domain solver and accelerated by the fast multipole method (FMM) in this paper. The preconditioned GMRES is employed to solve the final system equation and precondition techniques are discussed. The matrix---vector multiplication in each iteration is divided into smaller scale ones at the sub-domain level and then accelerated by FMM within individual sub-domains. The computed matrix---vector products at the sub-domain level are then combined according to the continuity conditions on the interfaces. The algorithm is implemented on a computer code written in C + +. Numerical results show that the technique is accurate and efficient.
Subrata Mukherjee - One of the best experts on this subject based on the ideXlab platform.
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The extended Boundary Node method for three-dimensional potential theory
Computers & Structures, 2005Co-Authors: Srinivas Telukunta, Subrata MukherjeeAbstract:The Boundary Node method (BNM) [Mukherjee YX, Mukherjee S. The Boundary Node method for potential problems. Int J Numer Methods Eng 1997;40:797-815] is a Boundary-only mesh-free method that combines the moving least-squares (MLS) interpolation scheme with the standard Boundary integral equations (BIEs). Curvilinear Boundary co-ordinates were originally proposed and used in this method-for both two [Mukherjee YX, Mukherjee S. The Boundary Node method for potential problems. Int J Numer Methods Eng 1997;40:797-815] and three-dimensional [Mukherjee S, Mukherjee YX. Boundary methods-elements, contours and Nodes. Boca Raton, FL: CRC Press, in press] problems in potential theory and in linear elasticity. Li and Aluru [Li G, Aluru NR. Boundary cloud method: a combined scattered point/Boundary integral approach for Boundary-only analysis. Comput Methods Appl Mech Eng 2002;191:2337-70; Li G. Aluru NR. A Boundary cloud method with a cloud-by-cloud polynomial basis. Eng Anal Boundary Elem 2003;27:57-71] have recently proposed an elegant improvement to the BNM (called the Boundary cloud method (BCM)) that allows the use of Cartesian co-ordinates. Their novel variable basis BCM [Li G. Aluru NR. A Boundary cloud method with a cloud-by-cloud polynomial basis. Eng Anal Boundary Elem 2003;27:57-71] has several advantages relative to the original BCM. It does, however, have a drawback in that continuous approximants are used for all Boundary variables, even across corners. It is well known, for example, that the normal derivative of the potential function in potential theory, or the traction in linear elasticity, often suffers jump discontinuities across corners in two-dimensional (2-D) and across edges and corners in three-dimensional (3-D) problems. The present authors [Telukunta S, Mukherjee S. An extended Boundary Node method for modeling normal derivative discontinuities in potential theory across edges and corners. Eng Anal Boundary Elem 2004;28:1099-110] have recently proposed a further improvement to the BNM and the variable basis BCM. This new approach is called the extended BNM (EBNM). This method employs Cartesian co-ordinates with variable bases, together with appropriate approximants for the normal derivative across edges and corners that can model discontinuities in this variable. Two-dimensional problems in potential theory are presented in [Telukunta S, Mukherjee S. An extended Boundary Node method for modeling normal derivative discontinuities in potential theory across edges and corners. Eng Anal Boundary Elem 2004;28:1099-110]. The present paper is concerned with far more challenging problems-3-D problems in potential theory.
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The extended Boundary Node method for three-dimensional potential theory
Computers & Structures, 2005Co-Authors: Srinivas Telukunta, Subrata MukherjeeAbstract:The Boundary Node method (BNM) [Mukherjee YX, Mukherjee S. The Boundary Node method for potential problems. Int J Numer Methods Eng 1997;40:797-815] is a Boundary-only mesh-free method that combines the moving least-squares (MLS) interpolation scheme with the standard Boundary integral equations (BIEs). Curvilinear Boundary co-ordinates were originally proposed and used in this method-for both two [Mukherjee YX, Mukherjee S. The Boundary Node method for potential problems. Int J Numer Methods Eng 1997;40:797-815] and three-dimensional [Mukherjee S, Mukherjee YX. Boundary methods-elements, contours and Nodes. Boca Raton, FL: CRC Press, in press] problems in potential theory and in linear elasticity. Li and Aluru [Li G, Aluru NR. Boundary cloud method: a combined scattered point/Boundary integral approach for Boundary-only analysis. Comput Methods Appl Mech Eng 2002;191:2337-70; Li G. Aluru NR. A Boundary cloud method with a cloud-by-cloud polynomial basis. Eng Anal Boundary Elem 2003;27:57-71] have recently proposed an elegant improvement to the BNM (called the Boundary cloud method (BCM)) that allows the use of Cartesian co-ordinates. Their novel variable basis BCM [Li G. Aluru NR. A Boundary cloud method with a cloud-by-cloud polynomial basis. Eng Anal Boundary Elem 2003;27:57-71] has several advantages relative to the original BCM. It does, however, have a drawback in that continuous approximants are used for all Boundary variables, even across corners. It is well known, for example, that the normal derivative of the potential function in potential theory, or the traction in linear elasticity, often suffers jump discontinuities across corners in two-dimensional (2-D) and across edges and corners in three-dimensional (3-D) problems. The present authors [Telukunta S, Mukherjee S. An extended Boundary Node method for modeling normal derivative discontinuities in potential theory across edges and corners. Eng Anal Boundary Elem 2004;28:1099-110] have recently proposed a further improvement to the BNM and the variable basis BCM. This new approach is called the extended BNM (EBNM). This method employs Cartesian co-ordinates with variable bases, together with appropriate approximants for the normal derivative across edges and corners that can model discontinuities in this variable. Two-dimensional problems in potential theory are presented in [Telukunta S, Mukherjee S. An extended Boundary Node method for modeling normal derivative discontinuities in potential theory across edges and corners. Eng Anal Boundary Elem 2004;28:1099-110]. The present paper is concerned with far more challenging problems-3-D problems in potential theory.
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a pure Boundary Node method for potential theory
Communications in Numerical Methods in Engineering, 2002Co-Authors: Ramesh Gowrishankar, Subrata MukherjeeAbstract:The standard Boundary Node method (BNM) uses a (meshless) diffuse interpolation (in terms of neighbouring scattered Boundary points) for the primary variables. The method is not ‘truly meshless’, however, since cells on the Boundary of a body are used for integration. This paper presents a ‘pure’ version of the BNM in which integration cells are dispensed with. Instead (overlapping), regions of influence (ROIs) of Boundary Nodes are used for integration. Initial results for 2-D potential theory, presented here, are encouraging. Copyright © 2002 John Wiley & Sons, Ltd.
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A ‘pure’ Boundary Node method for potential theory
Communications in Numerical Methods in Engineering, 2002Co-Authors: Ramesh Gowrishankar, Subrata MukherjeeAbstract:The standard Boundary Node method (BNM) uses a (meshless) diffuse interpolation (in terms of neighbouring scattered Boundary points) for the primary variables. The method is not ‘truly meshless’, however, since cells on the Boundary of a body are used for integration. This paper presents a ‘pure’ version of the BNM in which integration cells are dispensed with. Instead (overlapping), regions of influence (ROIs) of Boundary Nodes are used for integration. Initial results for 2-D potential theory, presented here, are encouraging. Copyright © 2002 John Wiley & Sons, Ltd.
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The Boundary Node Method
Selected Topics in Boundary Integral Formulations for Solids and Fluids, 2002Co-Authors: Subrata MukherjeeAbstract:This chapter presents applications of the Boundary Node method (BNM) in three dimensional (3-D) linear elasticity. Following a brief introduction, and a section on surface approximants, derivations of the BNM and the hypersingular BNM (HBNM) are presented in Section 3. This is followed by a section describing error estimation and adaptivity with the BNM and the HBNM. Numerical results for selected examples are included throughout the chapter.
Xiaolin Li - One of the best experts on this subject based on the ideXlab platform.
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A meshless complex variable Galerkin Boundary Node method for potential and Stokes problems
Engineering Analysis With Boundary Elements, 2017Co-Authors: Yaozong Tang, Xiaolin LiAbstract:Abstract In this study, combining the Boundary integral equations (BIEs) with the complex variable moving least squares (CVMLS) approximation, a symmetric and Boundary-only meshless method, the complex variable Galerkin Boundary Node method (CVGBNM), is developed. Numerical applications and theoretical error estimates of the CVGBNM are derived for BIEs, potential problems and Stokes problems. Finally, numerical examples are given to demonstrate the efficacy of the method.
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Meshless Boundary Node methods for Stokes problems
Applied Mathematical Modelling, 2015Co-Authors: Xiaolin Li, Shuling LiAbstract:Abstract In this study, we present the first meshless Boundary Node method (BNM) for two-dimensional and three-dimensional Stokes problems. The BNM exploits the advantages of the reduced dimensionality of Boundary integral equations (BIEs) and the meshless attribute of moving least squares (MLS) approximations. However, because MLS shape functions lack the property of a delta function, the direct collocation scheme used in the BNM to impose Boundary conditions doubles the numbers of unknowns and system equations. To overcome this drawback, we propose a dual Boundary Node method (DBNM), which uses the velocity BIE on the velocity Boundary and the traction BIE on the traction Boundary. In the DBNM, the Boundary conditions are incorporated directly into the BIEs and they can be imposed easily, while the numbers of unknowns and system equations are only half of those in the BNM, thereby leading to higher computational precision and speed. Selected numerical tests illustrate the efficiency of the BNM and the DBNM.
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A meshless interpolating Galerkin Boundary Node method for Stokes flows
Engineering Analysis With Boundary Elements, 2015Co-Authors: Xiaolin LiAbstract:Abstract Combining an improved interpolating moving least-square (IIMLS) scheme and a variational formulation of Boundary integral equations, a symmetric and Boundary-only meshless method, which is called the interpolating Galerkin Boundary Node method (IGBNM), is developed in this paper for 2D and 3D Stokes flow problems. The IIMLS is used to form shape functions with delta function property. So unlike the Galerkin Boundary Node method (GBNM), the IGBNM is a direct numerical method in which the basic unknown quantity is the real solution of nodal variables. Besides, to obtain uniqueness of unknown Boundary functions and to retain symmetry of system matrices, a Lagrange multiplier is introduced and then a variational formulation with side conditions is gained. Consequently, in the IGBNM, Boundary conditions can be applied directly and easily, and the resulting system matrices are symmetric. Thus, the IGBNM gives greater computational precision than the GBNM. The numerical formulae are valid for 2D and 3D Stokes flows and also valid for both interior and exterior problems simultaneously. The capability of the IGBNM is illustrated and assessed by some numerical examples.
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Implementation of Boundary conditions in BIEs-based meshless methods: A dual Boundary Node method
Engineering Analysis With Boundary Elements, 2014Co-Authors: Xiaolin LiAbstract:Abstract A new implementation of the Boundary Node method (BNM) is developed in this paper for two- and three-dimensional potential problems. In our implementation, here called the dual Boundary Node method (DBNM), the conventional BIE is applied on the Dirichlet Boundary and the hypersingular BIE is applied on the Neumann Boundary. The DBNM can apply the Boundary conditions directly and easily. And the number of both unknowns and system equations in the DBNM is only half of that in the BNM, thus the computing speed and efficiency are higher. The present method is applicable to other BIEs-based meshless methods, such as the Boundary cloud method, the Boundary element-free method and the Boundary face method, in which the used shape functions lack the delta function property. Some numerical examples are given to demonstrate the method.
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THE MESHLESS GALERKIN Boundary Node METHOD FOR TWO-DIMENSIONAL SOLIDS
International Journal of Computational Methods, 2013Co-Authors: Xiaolin LiAbstract:The Galerkin Boundary Node method (GBNM) is developed for two-dimensional solid mechanics problems. The GBNM is a Boundary only meshless method that combines an equivalent variational form of Boundary integral formulations for governing equations with the moving least-squares (MLS) approximations for construction of the trial and test functions. In this method, Boundary conditions can be implemented directly and easily despite the MLS shape functions lack the delta function property, and the resulting formulation inherits the symmetry and positive definiteness of the variational problems. The optimal asymptotic error estimates of this approach for displacements and stresses are derived in detail in Sobolev spaces. Numerical tests are also given to demonstrate the developed algorithms.
Xia-ting Feng - One of the best experts on this subject based on the ideXlab platform.
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a continuous discontinuous hybrid Boundary Node method for solving stress intensity factor
Engineering Analysis With Boundary Elements, 2017Co-Authors: Fei Yan, Xia-ting FengAbstract:Abstract A novel Boundary type meshless method called continuous–discontinuous hybrid Boundary Node method is proposed in this paper, in which the enriched discontinuous shape function is developed to solve linear elastic crack problems. Firstly, the whole Boundary is divided into several individual segments, and variables on each one of those segments are interpolated, respectively. For continuous segments, radial point interpolation method is employed. In regard to discontinuous segments, the enriched discontinuous basis functions combining with radial point interpolation method are developed for simulating the discontinuity of displacement and stress field on surfaces of crack, and the near tip asymptotic field functions are employed for simulating the high gradient of stress field around crack tip, so that high accuracy and discontinuity property of a crack can be easily described. Stress intensity factors are calculated directly using displacement extrapolation by displacement field near crack tip. Some numerical examples are shown that the present method is effective and can be widely applied in some practical engineering.
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a new dual reciprocity hybrid Boundary Node method based on shepard and taylor interpolation method and chebyshev polynomials
Engineering Analysis With Boundary Elements, 2016Co-Authors: Fei Yan, Xia-ting Feng, Peng-zhi PanAbstract:Abstract A new dual reciprocity hybrid Boundary Node method (DHBNM) is proposed in this paper, in which the Shepard and Taylor interpolation method (STIM) and Chebyshev polynomials interpolation are proposed. Firstly, the Shepard interpolation is used to construct zero level shape function, and the high-power shape functions are constructed through the Taylor expansion, and through those two methods, no inversion is needed in the whole process of the shape function construction. Besides, Chebyshev polynomials are used as the basis functions for particular solution interpolation instead of the conical function, radial basis functions, and the analytical solutions of the basic form of particular solutions related to Chebyshev polynomials for elasticity are obtained, by means of this method, no internal Node is needed, and interpolation coefficients can be given as explicit functions, so no inversion is needed for particular solution interpolation, which costs a large amount of computational expense for the traditional method. Based on those two methods, a new dual reciprocity hybrid Boundary Node method is developed, compared to the traditional DHBNM, no inversion is needed for both shape function construction and particular solution interpolation, which greatly improves the computational efficiency, and no internal Node is needed for particular solution interpolation. Numerical examples are given to illustrate that the present method is accurate and effective.
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Dual reciprocity hybrid radial Boundary Node method for the analysis of Kirchhoff plates
Applied Mathematical Modelling, 2011Co-Authors: Xia-ting Feng, Hui ZhouAbstract:Abstract A meshless method of dual reciprocity hybrid radial Boundary Node method (DHRBNM) for the analysis of arbitrary Kirchhoff plates is presented, which combines the advantageous properties of meshless method, radial point interpolation method (RPIM) and BEM. The solution in present method comprises two parts, i.e., the complementary solution and the particular solution. The complementary solution is solved by hybrid radial Boundary Node method (HRBNM), in which a three-field interpolation scheme is employed, and the Boundary variables are approximated by RPIM, which is applied instead of moving least square (MLS) and obtains the Kronecker’s delta property where the traditional HBNM does not satisfy. The internal variables are interpolated by two groups of symmetric fundamental solutions. Based on those, a hybrid displacement variational principle for Kirchhoff plates is developed, and a meshless method of HRBNM for solving biharmonic problems is obtained, by which the complementary solution can be solved. In order to solve the particular solution, a basic form of particular solution of Kirchhoff plates is developed, by which the particular solutions for all kinds of Kirchhoff plates can be interpolated. Combined with HRBNM and dual reciprocity method (DRM), a meshless method of DHRBNM is proposed for an arbitrary Kirchhoff plate. Numerical examples are given to illustrate that the present method is a simple, efficient, accurate and attractive one, and can be further extended into some practical problems.
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Meshless method of dual reciprocity hybrid radial Boundary Node method for elasticity
Acta Mechanica Solida Sinica, 2010Co-Authors: Xia-ting Feng, Hui ZhouAbstract:Combining the radial point interpolation method (RPIM), the dual reciprocity method (DRM) and the hybrid Boundary Node method (HBNM), a dual reciprocity hybrid radial Boundary Node method (DHRBNM) is proposed for linear elasticity. Compared to DHBNM, RPIM is exploited to replace the moving least square (MLS) in DHRBNM, and it gets rid of the deficiency of MLS approximation, in which shape functions lack the delta function property, the Boundary condition can not be applied easily and directly and it’s computational expense is high. Besides, different approximate functions are discussed in DRM to get the interpolation property, in which the accuracy and efficiency for different basis functions are compared. Then RPIM is also applied in DRM to replace the conical function interpolation, which can greatly improve the accuracy of the present method. To demonstrate the effectiveness of the present method, DHBNM is applied for comparison, and some numerical examples of 2-D elasticity problems show that the present method is much more effective than DHBNM.
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A dual reciprocity hybrid radial Boundary Node method based on radial point interpolation method
Computational Mechanics, 2010Co-Authors: Xia-ting Feng, Hui ZhouAbstract:A novel truly meshless method called dual reciprocity hybrid radial Boundary Node method (DHRBNM) is developed in present, which combines dual reciprocity method (DRM), hybrid Boundary Node method (HBNM) and radial point interpolation method (RPIM). Compared to the dual reciprocity hybrid Boundary Node method (DHBNM), RPIM is exploited to replace the moving least square in DHRBNM, unlike HBNM, the shape function obtained by present method has the delta function property, so the Boundary conditions can be applied directly and easily, and computational expense is greatly reduced. In order to get the interpolation property of different basis function in DRM, different approximate functions are applied in DRM for comparison, and the accuracy and efficiency of them are discussed. Besides, RPIM is also exploited in DRM, which can greatly improve the accuracy of present method. Moreover, the accuracy of DRM is greatly influenced by the Nodes number and their location, hence, some examples are investigated to show that the internal Node number is equal to Boundary Node number and they are arranged parallel to the high gradient direction of the problem are the best choice. Finally, DHBNM is applied for comparison and some selected numerical examples are given to illustrate that the present method is efficient and less computational expense than that of DHBNM.
Hui Zhou - One of the best experts on this subject based on the ideXlab platform.
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Dual reciprocity hybrid radial Boundary Node method for the analysis of Kirchhoff plates
Applied Mathematical Modelling, 2011Co-Authors: Xia-ting Feng, Hui ZhouAbstract:Abstract A meshless method of dual reciprocity hybrid radial Boundary Node method (DHRBNM) for the analysis of arbitrary Kirchhoff plates is presented, which combines the advantageous properties of meshless method, radial point interpolation method (RPIM) and BEM. The solution in present method comprises two parts, i.e., the complementary solution and the particular solution. The complementary solution is solved by hybrid radial Boundary Node method (HRBNM), in which a three-field interpolation scheme is employed, and the Boundary variables are approximated by RPIM, which is applied instead of moving least square (MLS) and obtains the Kronecker’s delta property where the traditional HBNM does not satisfy. The internal variables are interpolated by two groups of symmetric fundamental solutions. Based on those, a hybrid displacement variational principle for Kirchhoff plates is developed, and a meshless method of HRBNM for solving biharmonic problems is obtained, by which the complementary solution can be solved. In order to solve the particular solution, a basic form of particular solution of Kirchhoff plates is developed, by which the particular solutions for all kinds of Kirchhoff plates can be interpolated. Combined with HRBNM and dual reciprocity method (DRM), a meshless method of DHRBNM is proposed for an arbitrary Kirchhoff plate. Numerical examples are given to illustrate that the present method is a simple, efficient, accurate and attractive one, and can be further extended into some practical problems.
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Meshless method of dual reciprocity hybrid radial Boundary Node method for elasticity
Acta Mechanica Solida Sinica, 2010Co-Authors: Xia-ting Feng, Hui ZhouAbstract:Combining the radial point interpolation method (RPIM), the dual reciprocity method (DRM) and the hybrid Boundary Node method (HBNM), a dual reciprocity hybrid radial Boundary Node method (DHRBNM) is proposed for linear elasticity. Compared to DHBNM, RPIM is exploited to replace the moving least square (MLS) in DHRBNM, and it gets rid of the deficiency of MLS approximation, in which shape functions lack the delta function property, the Boundary condition can not be applied easily and directly and it’s computational expense is high. Besides, different approximate functions are discussed in DRM to get the interpolation property, in which the accuracy and efficiency for different basis functions are compared. Then RPIM is also applied in DRM to replace the conical function interpolation, which can greatly improve the accuracy of the present method. To demonstrate the effectiveness of the present method, DHBNM is applied for comparison, and some numerical examples of 2-D elasticity problems show that the present method is much more effective than DHBNM.
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A dual reciprocity hybrid radial Boundary Node method based on radial point interpolation method
Computational Mechanics, 2010Co-Authors: Xia-ting Feng, Hui ZhouAbstract:A novel truly meshless method called dual reciprocity hybrid radial Boundary Node method (DHRBNM) is developed in present, which combines dual reciprocity method (DRM), hybrid Boundary Node method (HBNM) and radial point interpolation method (RPIM). Compared to the dual reciprocity hybrid Boundary Node method (DHBNM), RPIM is exploited to replace the moving least square in DHRBNM, unlike HBNM, the shape function obtained by present method has the delta function property, so the Boundary conditions can be applied directly and easily, and computational expense is greatly reduced. In order to get the interpolation property of different basis function in DRM, different approximate functions are applied in DRM for comparison, and the accuracy and efficiency of them are discussed. Besides, RPIM is also exploited in DRM, which can greatly improve the accuracy of present method. Moreover, the accuracy of DRM is greatly influenced by the Nodes number and their location, hence, some examples are investigated to show that the internal Node number is equal to Boundary Node number and they are arranged parallel to the high gradient direction of the problem are the best choice. Finally, DHBNM is applied for comparison and some selected numerical examples are given to illustrate that the present method is efficient and less computational expense than that of DHBNM.