Cell centered Galerkin methods

DOI10.1016/j.crma.2009.11.012zbMath1183.65123OpenAlexW2051767056MaRDI QIDQ847093

Daniele A. Di Pietro

Publication date: 12 February 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.11.012

zbMATH Keywords

convergencefinite volume methodnumerical examplesdiffusion equationdiscontinuous Galerkin methodscell centered Galerkin methods

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

On the conservativity of cell-centered Galerkin methods ⋮ A compact cell-centered Galerkin method with subgrid stabilization ⋮ A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes ⋮ Semi hybrid method for heterogeneous and anisotropic diffusion problems on general meshes

Cites Work

• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• A compact multipoint flux approximation method with improved robustness
• Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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