Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients

DOI10.1137/130905757zbMath1285.65078arXiv1301.3203OpenAlexW2019644252MaRDI QIDQ5397606

Andrea Bonito, Ronald A. DeVore, Ricardo H. Nochetto

Publication date: 24 February 2014

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

Full work available at URL: https://arxiv.org/abs/1301.3203

zbMATH Keywords

discontinuous coefficientsadaptive finite element methodselliptic problemoptimal rates of convergenceperturbation estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Complexity and performance of numerical algorithms (65Y20)

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