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- Singular_boundary_method abstract "In numerical analysis, the singular boundary method (SBM) belongs to a family of meshless boundary collocation techniques which include the method of fundamental solutions (MFS), boundary knot method (BKM), regularized meshless method (RMM), boundary particle method (BPM), modified MFS, and so on. This family of strong-form collocation methods is designed to avoid singular numerical integration and mesh generation in the traditional boundary element method (BEM) in the numerical solution of boundary value problems with boundary nodes, in which a fundamental solution of the governing equation is explicitly known. The salient feature of the SBM is to overcome the fictitious boundary in the method of fundamental solution, while keeping all merits of the latter. The method offers several advantages over the classical domain or boundary discretization methods, among which are: meshless. The method requires neither domain nor boundary meshing but boundary-only discretization points; integration-free. The numerical integration of singular or nearly singular kernels could be otherwise troublesome, expensive, and complicated, as in the case, for example, the boundary element method; boundary-only discretization for homogeneous problems. The SBM shares all the advantages of the BEM over domain discretization methods such as the finite element or finite difference methods; to overcome the perplexing fictitious boundary in the method of fundamental solutions (see Figs. 1 and 2), thanks to the introduction of the concept of the origin intensity factor, which isolates the singularity of the fundamental solutions.The SBM provides a significant and promising alternative to popular boundary-type methods such as the BEM and MFS, in particular, for infinite domain, wave, thin-walled structures, and inverse problems.".
- Singular_boundary_method thumbnail SBM_and_MFS_01.PNG?width=300.
- Singular_boundary_method wikiPageExternalLink KDF.htm.
- Singular_boundary_method wikiPageExternalLink sbm.html.
- Singular_boundary_method wikiPageID "35382631".
- Singular_boundary_method wikiPageLength "9247".
- Singular_boundary_method wikiPageOutDegree "17".
- Singular_boundary_method wikiPageRevisionID "546329529".
- Singular_boundary_method wikiPageWikiLink Boundary_element_method.
- Singular_boundary_method wikiPageWikiLink Boundary_knot_method.
- Singular_boundary_method wikiPageWikiLink Boundary_particle_method.
- Singular_boundary_method wikiPageWikiLink Category:Numerical_analysis.
- Singular_boundary_method wikiPageWikiLink Category:Numerical_differential_equations.
- Singular_boundary_method wikiPageWikiLink Collocation_method.
- Singular_boundary_method wikiPageWikiLink Fast_multipole_method.
- Singular_boundary_method wikiPageWikiLink Hyperbolic_function.
- Singular_boundary_method wikiPageWikiLink Meshfree_methods.
- Singular_boundary_method wikiPageWikiLink Method_of_fundamental_solutions.
- Singular_boundary_method wikiPageWikiLink Numerical_analysis.
- Singular_boundary_method wikiPageWikiLink Radial_basis_function.
- Singular_boundary_method wikiPageWikiLink Regularized_meshless_method.
- Singular_boundary_method wikiPageWikiLink Trefftz_method.
- Singular_boundary_method wikiPageWikiLink File:MFS_and_SBM_02.PNG.
- Singular_boundary_method wikiPageWikiLink File:SBM_and_MFS_01.PNG.
- Singular_boundary_method wikiPageWikiLinkText "Singular boundary method".
- Singular_boundary_method wikiPageWikiLinkText "singular boundary method".
- Singular_boundary_method wikiPageUsesTemplate Template:E.
- Singular_boundary_method wikiPageUsesTemplate Template:Numerical_PDE.
- Singular_boundary_method wikiPageUsesTemplate Template:Reflist.
- Singular_boundary_method subject Category:Numerical_analysis.
- Singular_boundary_method subject Category:Numerical_differential_equations.
- Singular_boundary_method type Algorithm.
- Singular_boundary_method type Redirect.
- Singular_boundary_method comment "In numerical analysis, the singular boundary method (SBM) belongs to a family of meshless boundary collocation techniques which include the method of fundamental solutions (MFS), boundary knot method (BKM), regularized meshless method (RMM), boundary particle method (BPM), modified MFS, and so on.".
- Singular_boundary_method label "Singular boundary method".
- Singular_boundary_method sameAs Q7524247.
- Singular_boundary_method sameAs m.0j9p7kw.
- Singular_boundary_method sameAs Q7524247.
- Singular_boundary_method sameAs 奇异边界法.
- Singular_boundary_method wasDerivedFrom Singular_boundary_method?oldid=546329529.
- Singular_boundary_method depiction SBM_and_MFS_01.PNG.
- Singular_boundary_method isPrimaryTopicOf Singular_boundary_method.
