Analysis of the order of accuracy for node-centered finite volume schemes

DOI10.1016/j.apnum.2009.06.001zbMath1173.65055OpenAlexW2125889036MaRDI QIDQ2271414

Jan Nordström, Sofia Eriksson

Publication date: 7 August 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.06.001

zbMATH Keywords

finite volume methodnumerical exampleselliptic equationshyperbolic equationsorder of accuracy

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

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Uses Software

• EDGE
• TAU

Cites Work

• An accuracy evaluation of unstructured node-centred finite volume methods
• A stable and conservative interface treatment of arbitrary spatial accuracy
• Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
• Stability of finite volume approximations for the Laplacian operator on quadrilateral and triangular grids
• Summation by parts operators for finite difference approximations of second derivatives
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