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- Method_of_fundamental_solutions abstract "In scientific computation and simulation, the method of fundamental solutions (MFS) is getting a growing attention. The method is essentially based on the fundamental solution of a partial differential equation of interest as its basis function. The MFS was developed to overcome the major drawbacks in the boundary element method (BEM) which also uses the fundamental solution to satisfy the governing equation. Consequently, both the MFS and the BEM are of a boundary discretization numerical technique and reduce the computational complexity by one dimensionality and have particular edge over the domain-type numerical techniques such as the finite element and finite volume methods on the solution of infinite domain, thin-walled structures, and inverse problems. In contrast to the BEM, the MFS avoids the numerical integration of singular fundamental solution and is an inherent meshfree method. The method, however, is compromised by requiring a controversial fictitious boundary outside the physical domain to circumvent the singularity of fundamental solution, which has seriously restricted its applicability to real-world problems. But nevertheless the MFS has been found very competitive to some application areas such as infinite domain problems. The MFS is also known by quite a few different names in the literature. Among these are the charge simulation method, the superposition method, the desingularized method, the indirect boundary element method, and the virtual boundary element method, just to name a few.".
- Method_of_fundamental_solutions wikiPageExternalLink english.
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- Method_of_fundamental_solutions wikiPageRevisionID "542651178".
- Method_of_fundamental_solutions wikiPageWikiLink Boundary_element_method.
- Method_of_fundamental_solutions wikiPageWikiLink Boundary_knot_method.
- Method_of_fundamental_solutions wikiPageWikiLink Boundary_particle_method.
- Method_of_fundamental_solutions wikiPageWikiLink Category:Numerical_analysis.
- Method_of_fundamental_solutions wikiPageWikiLink Category:Numerical_differential_equations.
- Method_of_fundamental_solutions wikiPageWikiLink Computational_science.
- Method_of_fundamental_solutions wikiPageWikiLink Finite_element_method.
- Method_of_fundamental_solutions wikiPageWikiLink Fundamental_solution.
- Method_of_fundamental_solutions wikiPageWikiLink Inverse_problem.
- Method_of_fundamental_solutions wikiPageWikiLink Meshfree_methods.
- Method_of_fundamental_solutions wikiPageWikiLink Partial_differential_equation.
- Method_of_fundamental_solutions wikiPageWikiLink Radial_basis_function.
- Method_of_fundamental_solutions wikiPageWikiLink Simulation.
- Method_of_fundamental_solutions wikiPageWikiLink Singular_boundary_method.
- Method_of_fundamental_solutions wikiPageWikiLinkText "Method of fundamental solutions".
- Method_of_fundamental_solutions wikiPageWikiLinkText "method of fundamental solutions".
- Method_of_fundamental_solutions wikiPageWikiLinkText "solutions".
- Method_of_fundamental_solutions wikiPageUsesTemplate Template:Numerical_PDE.
- Method_of_fundamental_solutions wikiPageUsesTemplate Template:Reflist.
- Method_of_fundamental_solutions subject Category:Numerical_analysis.
- Method_of_fundamental_solutions subject Category:Numerical_differential_equations.
- Method_of_fundamental_solutions type Algorithm.
- Method_of_fundamental_solutions comment "In scientific computation and simulation, the method of fundamental solutions (MFS) is getting a growing attention. The method is essentially based on the fundamental solution of a partial differential equation of interest as its basis function. The MFS was developed to overcome the major drawbacks in the boundary element method (BEM) which also uses the fundamental solution to satisfy the governing equation.".
- Method_of_fundamental_solutions label "Method of fundamental solutions".
- Method_of_fundamental_solutions sameAs Q6823714.
- Method_of_fundamental_solutions sameAs m.0j9py1h.
- Method_of_fundamental_solutions sameAs Q6823714.
- Method_of_fundamental_solutions wasDerivedFrom Method_of_fundamental_solutions?oldid=542651178.
- Method_of_fundamental_solutions isPrimaryTopicOf Method_of_fundamental_solutions.