Error estimates for finite element approximations of nonlinear monotone elliptic problems with application to numerical homogenization

DOI10.1002/num.22037zbMath1350.65112OpenAlexW1488862069MaRDI QIDQ2808871

Martin E. Huber, Assyr Abdulle

Publication date: 25 May 2016

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/200959

zbMATH Keywords

numerical examplenumerical integrationa priori error estimateshigh-order finite element methodelliptic projectionnumerical homogenizationvariational crimesnonlinear monotone elliptic problem

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)

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Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems ⋮ A matrix-free Chimera approach based on Dirichlet-Dirichlet coupling for domain composition purposes ⋮ Solution of Grad-Shafranov equation with linear triangular finite elements providing magnetic field continuity with a second order accuracy ⋮ Numerical Homogenization Methods for Parabolic Monotone Problems ⋮ Mathematical and numerical analysis of a transient magnetic model with voltage drop excitations ⋮ High dimensional finite element method for multiscale nonlinear monotone parabolic equations

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