The Experts below are selected from a list of 303 Experts worldwide ranked by ideXlab platform
Kam Liu - One of the best experts on this subject based on the ideXlab platform.
-
Admissible approximations for essential boundary conditions in the reproducing kernel particle method
Computational Mechanics, 1996Co-Authors: J. Gosz, Kam LiuAbstract:In the reproducing kernel particle method (RKPM), and meshless methods in general, enforcement of essential boundary conditions is awkward as the approximations do not satisfy the Kronecker Delta condition and are not admissible in the Galerkin formulation as they fail to vanish at essential boundaries. Typically, Lagrange multipliers, modified variational principles, or a coupling procedure with finite elements have been used to circumvent these shortcomings.
J.d. Lavers - One of the best experts on this subject based on the ideXlab platform.
-
A Comparison of Point Interpolative Boundary Meshless Method Based on PBF and RBF for Transient Eddy-Current Analysis
IEEE Transactions on Magnetics, 2007Co-Authors: K.r. Shao, J.d. LaversAbstract:This paper presents the boundary polynomial point interpolation meshless method (BPPIM) and the boundary radial point interpolation meshless method (BRPIM) based on the polynomial basis function (PBF) and radial basis function (RBF), respectively, for transient eddy-current analysis, and their interpolation shape functions satisfy the Kronecker Delta function, thus, the essential boundary conditions can be directly imposed on the boundary nodes. An example on analyzing transient eddy current of a square metal column is set to prove the validity of the proposed methods, and a comparison on accuracy between BPPIM and BRPIM is analyzed as well
-
A boundary meshless method for transient Eddy current analysis
2005 IEEE International Magnetics Conference (INTERMAG), 2005Co-Authors: K.r. Shao, J.d. LaversAbstract:A boundary meshless method (BMLM) for transient analysis was presented. This method combined a point interpolation method for construction of spatial shape functions for the governing equations. The spatial shape functions satisfied the Kronecker Delta function and the essential boundary condition can be directly imposed on the boundary. Eddy current distribution and eddy current density on symmetry axis were also given using the proposed method. The results all proved that BMLM is an effective technique to analyze the transient eddy current problems.
-
A boundary meshless method for transient eddy current problems
IEEE Transactions on Magnetics, 2005Co-Authors: K.r. Shao, J.d. LaversAbstract:This paper presents a boundary meshless method (BMLM) for transient eddy current problems. With difference to the traditional boundary element method (BEM), the BMLM combines a point interpolation method (PIM) for construction of spatial interpolation functions with a boundary integral formulation for the governing equations, thus the spatial interpolation functions satisfy the Kronecker Delta function and the essential boundary condition can be directly imposed without any other procedure. Theoretical analysis in details is given and a transient eddy current example is also presented to prove the proposed theory.
J. Gosz - One of the best experts on this subject based on the ideXlab platform.
-
Admissible approximations for essential boundary conditions in the reproducing kernel particle method
Computational Mechanics, 1996Co-Authors: J. Gosz, Kam LiuAbstract:In the reproducing kernel particle method (RKPM), and meshless methods in general, enforcement of essential boundary conditions is awkward as the approximations do not satisfy the Kronecker Delta condition and are not admissible in the Galerkin formulation as they fail to vanish at essential boundaries. Typically, Lagrange multipliers, modified variational principles, or a coupling procedure with finite elements have been used to circumvent these shortcomings.
Jaewoo Jeong - One of the best experts on this subject based on the ideXlab platform.
-
The closed form reproducing polynomial particle shape functions for meshfree particle methods
Computer Methods in Applied Mechanics and Engineering, 2007Co-Authors: Hae-soo Oh, Jaewoo JeongAbstract:Abstract It has been known that reproducing kernel particle (RKP) shape functions with Kronecker Delta property are not available in simple forms. Thus, in this paper, we construct highly regular piecewise polynomial reproducing polynomial particle (RPP) shape functions that satisfy the Kronecker Delta property. Like RKP shape functions, the RPP shape functions reproduce the complete polynomials of degree k for an integer k ⩾ 0 . Moreover, the particles associated with these RPP shape functions are either uniformly distributed in ( - ∞ , ∞ ) or non-uniformly distributed in [ 0 , ∞ ) (or in a compact set [ a , b ]).
-
The Closed Form Reproducing Kernel Particle Shape Functions: Part 1. Basic Consctructions: Uniformly Distributed Particles
2006Co-Authors: June G. Kim, Jaewoo JeongAbstract:It has been known that Reproducing Kernel Particle (RKP) shape functions with Kronecker Delta property are not available in simple forms. Thus, in this paper, we first construct highly regular piecewise polynomial RKP shape functions that are reproducing of order k for any given integer k 0 and satisfy the Kronecker Delta Property. Second, we construct flexible Partition of Unity (PU) shape functions that make it possible for the closed form RKP shape functions to be used for locally uniformly distributed particles.
K.r. Shao - One of the best experts on this subject based on the ideXlab platform.
-
A Comparison of Point Interpolative Boundary Meshless Method Based on PBF and RBF for Transient Eddy-Current Analysis
IEEE Transactions on Magnetics, 2007Co-Authors: K.r. Shao, J.d. LaversAbstract:This paper presents the boundary polynomial point interpolation meshless method (BPPIM) and the boundary radial point interpolation meshless method (BRPIM) based on the polynomial basis function (PBF) and radial basis function (RBF), respectively, for transient eddy-current analysis, and their interpolation shape functions satisfy the Kronecker Delta function, thus, the essential boundary conditions can be directly imposed on the boundary nodes. An example on analyzing transient eddy current of a square metal column is set to prove the validity of the proposed methods, and a comparison on accuracy between BPPIM and BRPIM is analyzed as well
-
A boundary meshless method for transient Eddy current analysis
2005 IEEE International Magnetics Conference (INTERMAG), 2005Co-Authors: K.r. Shao, J.d. LaversAbstract:A boundary meshless method (BMLM) for transient analysis was presented. This method combined a point interpolation method for construction of spatial shape functions for the governing equations. The spatial shape functions satisfied the Kronecker Delta function and the essential boundary condition can be directly imposed on the boundary. Eddy current distribution and eddy current density on symmetry axis were also given using the proposed method. The results all proved that BMLM is an effective technique to analyze the transient eddy current problems.
-
A boundary meshless method for transient eddy current problems
IEEE Transactions on Magnetics, 2005Co-Authors: K.r. Shao, J.d. LaversAbstract:This paper presents a boundary meshless method (BMLM) for transient eddy current problems. With difference to the traditional boundary element method (BEM), the BMLM combines a point interpolation method (PIM) for construction of spatial interpolation functions with a boundary integral formulation for the governing equations, thus the spatial interpolation functions satisfy the Kronecker Delta function and the essential boundary condition can be directly imposed without any other procedure. Theoretical analysis in details is given and a transient eddy current example is also presented to prove the proposed theory.
