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MOC
2010

A projection-based error analysis of HDG methods

13 years 5 months ago
A projection-based error analysis of HDG methods
Abstract. We introduce a new technique for the error analysis of hybridizable discontinuous Galerkin (HDG) methods. The technique relies on the use of a new projection whose design is inspired by the form of the numerical traces of the methods. This renders the analysis of the projections of the discretization errors simple and concise. By showing that these projections of the errors are bounded in terms of the distance between the solution and its projection, our studies of influence of the stabilization parameter are reduced to local analyses of approximation by the projection. We illustrate the technique on a specific HDG method applied to a model second-order elliptic problem.
Bernardo Cockburn, Jayadeep Gopalakrishnan, Franci
Added 20 May 2011
Updated 20 May 2011
Type Journal
Year 2010
Where MOC
Authors Bernardo Cockburn, Jayadeep Gopalakrishnan, Francisco-Javier Sayas
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