A generalization of the vertex-centered finite volume scheme to arbitrary high order

DOI10.1007/s00791-010-0139-zzbMath1207.65128OpenAlexW1964414608MaRDI QIDQ604849

Gabriel Wittum, Andreas Vogel, Jin-Chao Xu

Publication date: 12 November 2010

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-010-0139-z

zbMATH Keywords

finite volume methodnumerical exampleserror boundselliptic problemshigher ordervertex-centered

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite volume methods for boundary value problems involving PDEs (65N08)

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Cites Work

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• On the finite volume element method
• On first and second order box schemes
• Finite volume element methods for non-definite problems
• The finite volume element method with quadratic basis functions
• Some Error Estimates for the Box Method
• The Accuracy of Cell Vertex Finite Volume Methods on Quadrilateral Meshes
• On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials