Adapted Numerical Methods for the Poisson Equation with $L^2$ Boundary Data in NonConvex Domains

DOI10.1137/16M1062077zbMath1371.65118arXiv1602.05397MaRDI QIDQ4978200

Serge Nicaise, Thomas Apel, Johannes Pfefferer

Publication date: 18 August 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05397

zbMATH Keywords

finite element methodPoisson equationnumerical experimentelliptic boundary value problemmesh gradingconvregencesingular complement methodvery weak formulationdiscretization error estimate

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

Finite element approximations for PDEs with irregular Dirichlet boundary data on boundary concentrated meshes ⋮ Analysis of Finite Element Approximations of Stokes Equations with NonSmooth Data ⋮ The halfspace matching method: a new method to solve scattering problems in infinite media ⋮ Two fast finite difference schemes for elliptic Dirichlet boundary control problems ⋮ Adapted Numerical Methods for the Poisson Equation with $L^2$ Boundary Data in NonConvex Domains ⋮ External optimal control of nonlocal PDEs

Uses Software

• AFEM@matlab

Cites Work

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