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» A Multiscale Discontinuous Galerkin Method
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SIAMSC
2008
140views more  SIAMSC 2008»
13 years 7 months ago
Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier--Stokes Equations
We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible Navier-Stokes equations. The spatial discreti...
Per-Olof Persson, Jaime Peraire
SIAMSC
2010
157views more  SIAMSC 2010»
13 years 6 months ago
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
We propose certified reduced basis methods for the efficient and reliable evaluation of a general output that is implicitly connected to a given parameterized input through the ha...
Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jer&oac...
JSCIC
2010
57views more  JSCIC 2010»
13 years 2 months ago
A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy
While second order methods for computational simulations of fluid flow provide the basis of widely used commercial software, there is a need for higher order methods for more accur...
Antony Jameson
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...
JSCIC
2008
134views more  JSCIC 2008»
13 years 7 months ago
Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Yan Xu, Jaap J. W. van der Vegt, Onno Bokhove