Boundary knot method
In numerical mathematics, the boundary knot method (BKM) is proposed as an alternative boundary-type meshfree distance function collocation scheme. Recent decades have witnessed a research boom on the meshfree numerical PDE techniques since the construction of a mesh in the standard finite element method and boundary element method is not trivial especially for moving boundary, and higher-dimensional problems. The boundary knot method is different from the other methods based on the fundamental solutions, such as boundary element method, method of fundamental solutions and singular boundary method in that the former does not require special techniques to cure the singularity. The BKM is truly meshfree, spectral convergent (numerical observations), symmetric (self-adjoint PDEs), integration
primaryTopic
Boundary knot method
In numerical mathematics, the boundary knot method (BKM) is proposed as an alternative boundary-type meshfree distance function collocation scheme. Recent decades have witnessed a research boom on the meshfree numerical PDE techniques since the construction of a mesh in the standard finite element method and boundary element method is not trivial especially for moving boundary, and higher-dimensional problems. The boundary knot method is different from the other methods based on the fundamental solutions, such as boundary element method, method of fundamental solutions and singular boundary method in that the former does not require special techniques to cure the singularity. The BKM is truly meshfree, spectral convergent (numerical observations), symmetric (self-adjoint PDEs), integration
has abstract
In numerical mathematics, the ...... y irregular 2D and 3D domains.
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基于网格的传统方法(如有限元法和边界元法)在处理高维、移动边 ...... 点。边界节点法在声学、扩散、流体等领域已经得到了深入的研究。
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35,471,459
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In numerical mathematics, the ...... elf-adjoint PDEs), integration
@en
基于网格的传统方法(如有限元法和边界元法)在处理高维、移动边 ...... 点。边界节点法在声学、扩散、流体等领域已经得到了深入的研究。
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label
Boundary knot method
@en
边界节点法
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