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New Laplace and Helmholtz solvers

Numerical algorithms based on rational functions are introduced that solve the Laplace and Helmholtz equations on 2D domains with corners quickly and accurately, despite the corner singularities.

Detalles Bibliográficos
Autores principales: Gopal, Abinand, Trefethen, Lloyd N.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6535029/
https://www.ncbi.nlm.nih.gov/pubmed/31061134
http://dx.doi.org/10.1073/pnas.1904139116
Descripción
Sumario:Numerical algorithms based on rational functions are introduced that solve the Laplace and Helmholtz equations on 2D domains with corners quickly and accurately, despite the corner singularities.