Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations

DOI10.1093/IMANUM/DRY006zbMath1466.65167arXiv1709.07181OpenAlexW2758536913MaRDI QIDQ5854343

Dirk Praetorius, Christoph Erath

Publication date: 16 March 2021

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

Full work available at URL: https://arxiv.org/abs/1709.07181

zbMATH Keywords

finite volume methodadaptive algorithmoptimal convergence rateslocal mesh refinementnonsymmetric problems\textit{a posteriori} error estimatorssecond-order linear elliptic partial differential equationsCéa-type quasi-optimality

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Second-order elliptic equations (35J15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)

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