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» A Multiscale Discontinuous Galerkin Method
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157
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JSCIC
2010
145views more  JSCIC 2010»
14 years 10 months ago
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations
In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equati...
Erik Burman, Alfio Quarteroni, Benjamin Stamm
117
Voted
JSCIC
2007
89views more  JSCIC 2007»
15 years 3 months ago
Adjoint Recovery of Superconvergent Linear Functionals from Galerkin Approximations. The One-dimensional Case
In this paper, we extend the adjoint error correction of Pierce and Giles [SIAM Review, 42 (2000), pp. 247-264] for obtaining superconvergent approximations of functionals to Gale...
Bernardo Cockburn, Ryuhei Ichikawa
126
Voted
SIAMSC
2011
112views more  SIAMSC 2011»
14 years 10 months ago
A Discontinuous Galerkin Solver for Front Propagation
We propose a new discontinuous Galerkin (DG) method based on [9] to solve a class of Hamilton-Jacobi equations that arises from optimal control problems. These equations are connec...
Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
137
Voted
SIAMSC
2011
105views more  SIAMSC 2011»
14 years 10 months ago
Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions
Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering is a promising technique not only in improving the order of the numerical solution obtained by a disc...
Paulien van Slingerland, Jennifer K. Ryan, C. Vuik
142
Voted
ICCS
2009
Springer
15 years 10 months ago
A Parallel High-Order Discontinuous Galerkin Shallow Water Model
The depth-integrated shallow water equations are frequently used for simulating geophysical flows, such as storm-surges, tsunamis and river flooding. In this paper a parallel sha...
Claes Eskilsson, Yaakoub El Khamra, David Rideout,...