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JSCIC
2010
101views more  JSCIC 2010»
13 years 2 months ago
Boundary-Conforming Discontinuous Galerkin Methods via Extensions from Subdomains
A new way of devising numerical methods is introduced whose distinctive feature is the computation of a finite element approximation only in a polyhedral subdomain D of the origina...
Bernardo Cockburn, Deepa Gupta, Fernando Reitich
MOC
2010
13 years 2 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...
Bernardo Cockburn, Jayadeep Gopalakrishnan, Franci...
SIAMSC
2008
206views more  SIAMSC 2008»
13 years 7 months ago
The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
We present a compact discontinuous Galerkin (CDG) method for an elliptic model problem. The problem is first cast as a system of first order equations by introducing the gradient o...
Jaime Peraire, Per-Olof Persson
SIAMSC
2011
85views more  SIAMSC 2011»
12 years 10 months ago
Refinement and Connectivity Algorithms for Adaptive Discontinuous Galerkin Methods
Abstract. Adaptive multiscale methods are among the many effective techniques for the numerical solution of partial differential equations. Efficient grid management is an import...
Kolja Brix, Ralf Massjung, Alexander Voss
MOC
2000
96views more  MOC 2000»
13 years 7 months ago
Galerkin eigenvector approximations
How close are Galerkin eigenvectors to the best approximation available out of the trial subspace? Under a variety of conditions the Galerkin method gives an approximate eigenvecto...
Christopher Beattie