Displaying similar documents to “Cell centered Galerkin methods for diffusive problems”

Cell centered Galerkin methods for diffusive problems

Daniele A. Di Pietro (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this work we introduce a new class of lowest order methods for diffusive problems on general meshes with only one unknown per element. The underlying idea is to construct an incomplete piecewise affine polynomial space with optimal approximation properties starting from values at cell centers. To do so we borrow ideas from multi-point finite volume methods, although we use them in a rather different context. The incomplete polynomial space replaces classical complete polynomial...

Discontinuous Galerkin method for compressible flow and conservation laws

Feistauer, Miloslav, Dolejší, Vít

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This paper is concerned with the application of the discontinuous Galerkin finite element method to the numerical solution of the compressible Navier-Stokes equations. The attention is paid to the derivation of discontinuous Galerkin finite element schemes and to the investigation of the accuracy of the symmetric as well as nonsymmetric discretization.

Central local discontinuous galerkin methods on overlapping cells for diffusion equations

Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper we present two versions of the central local discontinuous Galerkin (LDG) method on overlapping cells for solving diffusion equations, and provide their stability analysis and error estimates for the linear heat equation. A comparison between the traditional LDG method on a single mesh and the two versions of the central LDG method on overlapping cells is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis and to support...

Central local discontinuous galerkin methods on overlapping cells for diffusion equations

Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

In this paper we present two versions of the central local discontinuous Galerkin (LDG) method on overlapping cells for solving diffusion equations, and provide their stability analysis and error estimates for the linear heat equation. A comparison between the traditional LDG method on a single mesh and the two versions of the central LDG method on overlapping cells is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis and to support...