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» A Multiscale Discontinuous Galerkin Method
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JSCIC
2010
145views more  JSCIC 2010»
13 years 2 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
JSCIC
2007
89views more  JSCIC 2007»
13 years 7 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
SIAMSC
2011
112views more  SIAMSC 2011»
13 years 2 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
SIAMSC
2011
105views more  SIAMSC 2011»
13 years 2 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
ICCS
2009
Springer
14 years 2 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,...