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» A Multiscale Discontinuous Galerkin Method
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LSSC
2005
Springer
13 years 10 months ago
A Multiscale Discontinuous Galerkin Method
We propose a new class of Discontinuous Galerkin (DG) methods based on variational multiscale ideas. Our approach begins with an additive decomposition of the discontinuous finite...
Pavel B. Bochev, Thomas J. R. Hughes, Guglielmo Sc...
SIAMSC
2011
85views more  SIAMSC 2011»
12 years 8 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
NHM
2010
73views more  NHM 2010»
12 years 12 months ago
The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and la
Abstract. This contribution is concerned with the formulation of a heterogeneous multiscale finite elements method (HMM) for solving linear advectiondiffusion problems with rapidly...
Patrick Henning, Mario Ohlberger
SIAMNUM
2010
118views more  SIAMNUM 2010»
12 years 12 months ago
Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
Abstract. We study discontinuous Galerkin methods for solving elliptic variational inequalities, of both the first and second kinds. Analysis of numerous discontinuous Galerkin sch...
Fei Wang, Weimin Han, Xiao-Liang Cheng
JSCIC
2010
150views more  JSCIC 2010»
12 years 12 months ago
A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations
In this paper, a central discontinuous Galerkin method is proposed to solve for the viscosity solutions of Hamilton-Jacobi equations. Central discontinuous Galerkin methods were or...
Fengyan Li, Sergey Yakovlev