First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods

Bause M, Hoffmann J, Knabner P (2010)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2010

Journal

Numerische Mathematik Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 116

Pages Range: 1-29

Journal Issue: 1

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2010/2010_BauseHoffmannKn_FirstorderConvergenceOfMultiPointFlux

DOI: 10.1007/s00211-010-0290-y

Abstract

In this paper we show first-order convergence of a multi-point flux approximation control volume method (MPFA) on unstructured triangular grids. In this approach the flux approximation is derived directly in the physical space. In order to do this, we introduce a perturbed mixed finite element method that is equivalent to the MPFA scheme and prove the first-order convergence of this approach. Moreover, we carefully compare the computational performance properties of the MPFA method with those of a lowest order Raviart-Thomas and Brezzi-Douglas-Marini mixed finite element approximation. © 2010 Springer-Verlag.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Bause, M., Hoffmann, J., & Knabner, P. (2010). First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods. Numerische Mathematik, 116(1), 1-29. https://dx.doi.org/10.1007/s00211-010-0290-y

MLA:

Bause, Markus, Joachim Hoffmann, and Peter Knabner. "First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods." Numerische Mathematik 116.1 (2010): 1-29.

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