On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements

DOI10.1090/mcom/3117zbMath1359.65297OpenAlexW2461111617MaRDI QIDQ2967962

Michael Pruitt, Dmitriy Leykekhman

Publication date: 9 March 2017

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/eb92f0d3df41fafc2812be72432448ddf1f9e6d1

zbMATH Keywords

finite element methodfully nonlinear problemsdiscrete Green's functionmaximum normpointwise error estimatesdiscrete Harnack inequality

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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