Quadratic finite-volume methods for elliptic and parabolic problems on quadrilateral meshes: optimal-order errors based on Barlow points

DOI10.1093/imanum/drs045zbMath1281.65140OpenAlexW2168467950MaRDI QIDQ2856624

Jiangguo Liu, Min Yang, Yan Ping Lin

Publication date: 30 October 2013

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

Full work available at URL: https://semanticscholar.org/paper/af52f8f8fff8ded1b4f2cfd7f01bb3671f84e8c2

zbMATH Keywords

numerical exampleserror estimationparabolic equationselliptic boundary value problemsquadrilateral meshesBarlow pointsfinite volume element methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

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