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SIAMSC
2010
192views more  SIAMSC 2010»
13 years 3 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
SIAMNUM
2010
150views more  SIAMNUM 2010»
13 years 3 days ago
Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric second order linear elliptic operators. The method is formulated on nonconforming meshes made of si...
Andrea Bonito, Ricardo H. Nochetto
JSCIC
2010
101views more  JSCIC 2010»
13 years 4 days 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
SIAMSC
2011
110views more  SIAMSC 2011»
13 years 9 days ago
A Finite Element Method for Second Order Nonvariational Elliptic Problems
We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements...
Omar Lakkis, Tristan Pryer
MOC
2010
13 years 4 days 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...