New Laplace and Helmholtz solvers
Numerical Analysis
2022-10-12 v1
Abstract
New numerical algorithms based on rational functions are introduced that can solve certain Laplace and Helmholtz problems on two-dimensional domains with corners faster and more accurately than the standard methods of finite elements and integral equations. The new algorithms point to a reconsideration of the assumptions underlying existing numerical analysis for partial differential equations.
Cite
@article{arxiv.1902.00374,
title = {New Laplace and Helmholtz solvers},
author = {Abinand Gopal and Lloyd N. Trefethen},
journal= {arXiv preprint arXiv:1902.00374},
year = {2022}
}