Regularity results for discrete solutions of second order elliptic problems in the finite element method

DOI10.1007/BF02576116zbMath0631.65101OpenAlexW2053196280MaRDI QIDQ1094839

Néstor E. Aguilera, Luis A. Caffarelli

Publication date: 1986

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02576116

zbMATH Keywords

finite element methodLaplace's equationDe Giorgi-Nash-Moser regularity theorydiscrete regularity theoryuniformly elliptic operator in divergence form

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)

Related Items (5)

Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in \(L^1\) ⋮ On the positivity of the discrete Green's function for unstructured finite element discretizations in three dimensions ⋮ On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements ⋮ Finite element approximation of an incompressible chemically reacting non-Newtonian fluid ⋮ Numerical analysis of cavitational flow-theory

Cites Work

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