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A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids

A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids

Kategori
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
Sammendrag
In this work, we review a set of consistent discretizations for second-order elliptic equations, and compare and contrast them with respect to accuracy, monotonicity, and factors affecting their computational cost (degrees of freedom, sparsity, and condition numbers). Our comparisons include the linear and nonlinear TPFA method, multipoint flux-approximation (MPFA-O), mimetic methods, and virtual element methods. We focus on incompressible flow and study the effects of deformed cell geometries and anisotropic permeability.
Oppdragsgiver
  • VISTA / 6366
  • Research Council of Norway (RCN) / 244361
Språk
Engelsk
Institusjon(er)
  • SINTEF Digital / Mathematics and Cybernetics
År
Forlag
Springer
Bok
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Hefte nr.
323
ISBN
978-3-030-43650-6
Side(r)
585 - 594