Discontinuous Galerkin methods for problems with Dirac delta
            source∗

Paul Houston; Thomas Pascal Wihler

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Displaying similar documents to “Discontinuous Galerkin methods for problems with Dirac delta source∗”

Discontinuous Galerkin methods for problems with Dirac delta source

Paul Houston, Thomas Pascal Wihler (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this article we study discontinuous Galerkin finite element discretizations of linear second-order elliptic partial differential equations with Dirac delta right-hand side. In particular, assuming that the underlying computational mesh is quasi-uniform, we derive an bound on the error measured in terms of the -norm. Additionally, we develop residual-based error estimators that can be used within an adaptive mesh refinement ...

Finite Volume Methods for Elliptic PDE's: A New Approach

Panagiotis Chatzipantelidis (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider a new formulation for finite volume element methods, which is satisfied by known finite volume methods and it can be used to introduce new ones. This framework results by approximating the test function in the formulation of finite element method. We analyze piecewise linear conforming or nonconforming approximations on nonuniform triangulations and prove optimal order norm and norm error estimates.