Convergence of an adaptive lowest-order Raviart–Thomas element method for general second-order linear elliptic problems

DOI10.1093/imanum/drw021zbMath1433.65286arXiv1402.3068OpenAlexW2425999273MaRDI QIDQ4683772

Asha K. Dond, Neela Nataraj, Amiya K. Pani

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3068

zbMATH Keywords

contraction propertyadaptive mixed finite element methodconvergence and quasi-optimality\textit{a posteriori} error estimatornon-self-adjoint and indefinite linear elliptic problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Finite element methods: research in India over the last decade ⋮ Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates ⋮ Quasi-optimality of adaptive mixed FEMs for non-selfadjoint indefinite second-order linear elliptic problems

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