The Experts below are selected from a list of 324 Experts worldwide ranked by ideXlab platform
Kang Yong Lee - One of the best experts on this subject based on the ideXlab platform.
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Stress analysis of an infinite anisotropic elastic medium containing inclusions using the Boundary Point method
Engineering Analysis with Boundary Elements, 2004Co-Authors: C.y. Dong, Kang Yong LeeAbstract:The purpose of this paper is to carry out the stress analysis of an infinite anisotropic elastic medium containing elastic inclusions using the Boundary Point method. The Boundary Point method avoids various singular integrals appearing in the Boundary integral formulations. Its numerical implementation is simpler relative to the Boundary element method since there is no interpolation and integral implementation in the Boundary Point method, and only the source Points corresponding to the Boundary Points are needed to formulate the related fundamental solution matrices. Numerical results are satisfied compared with the available solutions.
I. I. Skrypnik - One of the best experts on this subject based on the ideXlab platform.
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on the sufficient condition for regularity of a Boundary Point for singular parabolic equations with non standard growth
Mathematische Nachrichten, 2011Co-Authors: I. I. SkrypnikAbstract:We investigate the continuity of solutions for general nonlinear parabolic equations with non-standard growth near a nonsmooth Boundary of a cylindrical domain. We prove a sufficient condition for regularity of a Boundary Point.
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On the sufficient condition for regularity of a Boundary Point for singular parabolic equations with non‐standard growth
Mathematische Nachrichten, 2011Co-Authors: I. I. SkrypnikAbstract:We investigate the continuity of solutions for general nonlinear parabolic equations with non-standard growth near a nonsmooth Boundary of a cylindrical domain. We prove a sufficient condition for regularity of a Boundary Point.
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Necessary Condition for the Regularity of a Boundary Point for Porous Medium Equations with Coefficients of Kato Class
Around the Research of Vladimir Maz'ya II, 2009Co-Authors: Vitali Liskevich, I. I. SkrypnikAbstract:We prove the necessity of the Wiener test for the regularity of a Boundary Point for a wide class of porous medium type equations with lower order terms in the structure conditions. The coefficients corresponding to the lower order terms are assumed to be in the Kato class, which generalizes known results.
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Regularity of a Boundary Point for singular parabolic equations with measurable coefficients
Ukrainian Mathematical Journal, 2004Co-Authors: I. I. SkrypnikAbstract:We investigate the continuity of solutions of quasilinear parabolic equations near the nonsmooth Boundary of a cylindrical domain. We prove a sufficient condition for the regularity of a Boundary Point, which coincides with the Wiener condition for the Laplace p-operator. The model case of the equations considered is the equation \(\frac{{\partial u}}{{\partial t}} - \Delta _p u = 0\) with the Laplace p-operator Δ p for 2n/ (n + 1) < p < 2.
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A necessary condition for the regularity of a Boundary Point for degenerating parabolic equations with measurable coefficients
Ukrainian Mathematical Journal, 2004Co-Authors: I. I. SkrypnikAbstract:We prove a necessary condition for the regularity of a Point on a cylindrical Boundary for solutions of second-order quasilinear parabolic equations of divergent form whose coefficients have a superlinear growth relative to derivatives with respect to space variables. This condition coincides with the sufficient condition proved earlier by the author. Thus, we establish a criterion for the regularity of a Boundary Point similar to the well-known Wiener criterion for the Laplace equation.
Jian Chen - One of the best experts on this subject based on the ideXlab platform.
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Acoustic Sensitivity Analysis Using the Distributed Source Energy Boundary Point Method
Applied Mechanics and Materials, 2011Co-Authors: Li Tao Chen, Jian Chen, Bing Rong Zhang, Wu ZhangAbstract:The determination of the sensitivity of the acoustical characteristics of vibrating systems with respect to the variation of the design parameters can provide a method to low-noise design of mechanical structure objectively and quantitatively. Using the Distributed source energy Boundary Point method, the expressions of the change of the acoustical energy density with respect to design variable is presented in this paper. The Distributed source energy Boundary Point method is a speedy and precise method which can avoid the complex computing of the singularity integral in EBEM. The correctness and availability is validated by the numerical simulation.
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Comparison study on spherical wave superposition method and spherical wave source Boundary Point method for realizing nearfield acoustic holography
Chinese Science Bulletin, 2005Co-Authors: Xin-zhao Chen, Rong Zhou, Jian ChenAbstract:In the light of the concept of spherical wave source, the theoretical model of nearfield acoustic holography (NAH) based on the spherical wave superposition method (SWSM), including reconstruction of expansion coefficients, prediction of acoustic field, error sensitivity analysis, regularization method and a searching method with dual measurement surfaces for determining the optimal number of expansion terms, is established. Subsequently, the spherical wave source Boundary Point method (SWSBPM) and its application in the NAH are introduced briefly. Considering the similarity of the SWSM and the SWSBPM for realizing the NAH, they are compared. The similarities and differences of the two methods are illuminated by a rigorous mathematical justification and two experiments on a single source and two coherent sources in the semi-free acoustic field. And, the superiority of the NAH based on the SWSBPM is demonstrated.
G R Liu - One of the best experts on this subject based on the ideXlab platform.
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a Boundary Point interpolation method for stress analysis of solids
Computational Mechanics, 2002Co-Authors: G R LiuAbstract:A Boundary Point interpolation method (BPIM) is proposed for solving Boundary value problems of solid mechanics. In the BPIM, the Boundary of a problem domain is represented by properly scattered nodes. The Boundary integral equation (BIE) for 2-D elastostatics has been discretized using Point interpolants based only on a group of arbitrarily distributed Boundary Points. In the present BPIM formulation, the shape functions constructed using polynomial basis function in a curvilinear coordinate possess Dirac delta function property. The Boundary conditions can be implemented with ease as in the conventional Boundary element method (BEM). The BPIM for 2-D elastostatics has been coded in FORTRAN, and used to obtain numerical results for stress analysis of two-dimensional solids.
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Boundary Point interpolation methods Boundary meshfree methods based on the
2002Co-Authors: G R LiuAbstract:meshftee methods are also discussed. computational mechanics. Key issues related the future development of Boundary implement, and very robust for obtaining numerical solutions for problems of using BPIM and BRPIM. It is found that the BPTM and BEWIM are very easy to and performance. Several numerical examples of 2-D elastostatics are analyzed Boundary Node Method (BNM) and the conversional BEM in both efficiency These two Boundary-type meshfi-ee methods are also compared with the the size of the support domain, the convergence, the performance, and so on. compared with each other on several technical issues in great details, including The numerical implementations of these two methods are examined and Interpolation Method (BRPIM) using the radial PIM, are reviewed and assessed. Method (BPIM) using the polynomial PIM and the Boundary Radial Point that use Point interpolation methods (PIM), the Boundary Point Interpolation in constructing shape functions. In this paper, two Boundary meshftee methods conversional Boundary Element Method (BEM) that require Boundary elements been proposed and developed in order to overcome drawbacks in the A group of meshfi-ee method based on Boundary Integral Equation (BIE) have
Vladimir Maz'ya - One of the best experts on this subject based on the ideXlab platform.
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Notes on Hölder Regularity of a Boundary Point with Respect to an Elliptic Operator of Second Order
Journal of Mathematical Sciences, 2014Co-Authors: Vladimir Maz'yaAbstract:We obtain a necessary and sufficient condition for the Holder regularity of a Boundary Point O with respect to an elliptic second order differential operator. Sufficient conditions for the Holder regularity of O are discussed.
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Wiener Type Regularity of a Boundary Point for the 3D Lamé System
Potential Analysis, 2009Co-Authors: Guo Luo, Vladimir Maz'yaAbstract:In this paper, we study the 3D Lame system and establish its weighted positive definiteness for a certain range of elastic constants. By modifying the general theory developed in Maz’ya (J Duke Math 115(3): 479–512, 2002), we then show, under the assumption of weighted positive definiteness, that the divergence of the classical Wiener integral for a Boundary Point guarantees the continuity of solutions to the Lame system at this Point.
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Wiener Type Regularity of a Boundary Point for the 3D Lam\'e System
arXiv: Analysis of PDEs, 2009Co-Authors: Guo Luo, Vladimir Maz'yaAbstract:In this paper, we study the 3D Lam\'e system and establish its weighted positive definiteness for a certain range of elastic constants. By modifying the general theory developed in Maz'ya (2002), we then show, under the assumption of weighted positive definiteness, that the divergence of the classical Wiener integral for a Boundary Point guarantees the continuity of solutions to the Lam\'e system at this Point.
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ON THE WIENER TYPE REGULARITY OF A Boundary Point FOR THE POLYHARMONIC OPERATOR
Applicable Analysis, 1998Co-Authors: Vladimir Maz'yaAbstract:It is shown that the Wiener regularity of a Boundary Point with respect to the m-harmonic operator is a local property for the space dimensions n=2m,2m+1,2m+2 with m > 2 and n = 4,5,6,7 with m = 2. An estimate for the continuity modulus of the solution formulated in terms of the Wiener type m-capacitary integral is obtained for the same n and m.