Boundary value problems in spaces of distributions on smooth and polygonal domains

DOI10.1016/j.cam.2007.04.038zbMath1154.65085OpenAlexW2021224681MaRDI QIDQ930712

Victor Nistor, Ivo M. Babuška

Publication date: 1 July 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.038

zbMATH Keywords

finite element methoddistributionsboundary value problemsweak solutionsLaplace equationPoisson equationlow regularity data

Mathematics Subject Classification ID

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

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Elliptic boundary value problems with Gaussian white noise loads ⋮ Well-posedness and regularity for the elasticity equation with mixed boundary conditions on polyhedral domains and domains with cracks ⋮ Geometric BVPs, Hardy spaces, and the Cauchy integral and transform on regions with corners ⋮ Series in a Lipschitz perturbation of the boundary for solving the Dirichlet problem ⋮ Sharp estimates for finite element approximations to elliptic problems with Neumann boundary data of low regularity ⋮ On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains ⋮ Elliptic equations with low regularity boundary data via the unified method

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