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:
Physical Sciences
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
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author Gopal, Abinand
Trefethen, Lloyd N.
author_facet Gopal, Abinand
Trefethen, Lloyd N.
author_sort Gopal, Abinand
collection PubMed
description 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.
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spelling pubmed-65350292019-06-03 New Laplace and Helmholtz solvers Gopal, Abinand Trefethen, Lloyd N. Proc Natl Acad Sci U S A Physical Sciences 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. National Academy of Sciences 2019-05-21 2019-05-06 /pmc/articles/PMC6535029/ /pubmed/31061134 http://dx.doi.org/10.1073/pnas.1904139116 Text en Copyright © 2019 the Author(s). Published by PNAS. http://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/This open access article is distributed under Creative Commons Attribution License 4.0 (CC BY) (http://creativecommons.org/licenses/by/4.0/) .
spellingShingle Physical Sciences
Gopal, Abinand
Trefethen, Lloyd N.
New Laplace and Helmholtz solvers
title New Laplace and Helmholtz solvers
title_full New Laplace and Helmholtz solvers
title_fullStr New Laplace and Helmholtz solvers
title_full_unstemmed New Laplace and Helmholtz solvers
title_short New Laplace and Helmholtz solvers
title_sort new laplace and helmholtz solvers
topic Physical Sciences
url 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
work_keys_str_mv AT gopalabinand newlaplaceandhelmholtzsolvers
AT trefethenlloydn newlaplaceandhelmholtzsolvers

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