Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems

Kumar, Sarvesh ; Nataraj, Neela ; Pani, Amiya K. (2009) Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems Numerical Methods for Partial Differential Equations, 25 (6). pp. 1402-1424. ISSN 0749-159X

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Official URL: http://doi.org/10.1002/num.20405

Related URL: http://dx.doi.org/10.1002/num.20405

Abstract

In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second-order linear elliptic problems is discussed. Optimal error estimates in L2 and broken H1- norms are derived. Numerical results confirm the theoretical order of convergences.

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