On the convergence of the barycentric method in solving internal Dirichlet and Neumann problems in $\mathbb{R}^2$ for the Helmholtz equation

DOI10.35634/vm210101zbMath1480.65338OpenAlexW3152718215MaRDI QIDQ4986782

D. E. Stepanov, A. S. Il'inskii, I. S. Polyanskii

Publication date: 28 April 2021

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu751

zbMATH Keywords

Galerkin methodHelmholtz equationbarycentric coordinatesconvergence estimationbarycentric methodarbitrary polygoninternal Dirichlet and Neumann problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Application of the barycentric method to electromagnetic wave diffraction on arbitrarily shaped screens ⋮ Numerical assessment of the informational influence of election campaigns on the electorate

This page was built for publication: On the convergence of the barycentric method in solving internal Dirichlet and Neumann problems in $\mathbb{R}^2$ for the Helmholtz equation