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JSCIC
2007
67views more  JSCIC 2007»
13 years 11 months ago
Multirate Timestepping Methods for Hyperbolic Conservation Laws
Emil M. Constantinescu, Adrian Sandu
JSCIC
2007
132views more  JSCIC 2007»
13 years 11 months ago
Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems
We consider a discontinuous Galerkin finite element method for the advection–reaction equation in two space–dimensions. For polynomial approximation spaces of degree greater t...
E. Burman, B. Stamm
JSCIC
2007
165views more  JSCIC 2007»
13 years 11 months ago
A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration
Image restoration has been an active research topic and variational formulations are particularly effective in high quality recovery. Although there exist many modelling and theore...
Ke Chen 0002, Xue-Cheng Tai
JSCIC
2007
89views more  JSCIC 2007»
13 years 11 months ago
Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations
Different time-stepping methods for a nodal high-order discontinuous Galerkin discretisation of the Maxwell equations are discussed. A comparison between the most popular choices o...
D. Sármány, M. A. Botchev, Jaap J. W...
JSCIC
2007
89views more  JSCIC 2007»
13 years 11 months ago
Preconditioned Descent Algorithms for p-Laplacian
In this paper, we examine some computational issues on finite element discretization of the p-Laplacian. We introduced a class of descent methods with multi-grid finite element ...
Y. Q. Huang, Ruo Li, Wenbin Liu
JSCIC
2007
89views more  JSCIC 2007»
13 years 11 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
JSCIC
2007
100views more  JSCIC 2007»
13 years 11 months ago
Implicit-Explicit Schemes for BGK Kinetic Equations
In this work a new class of numerical methods for the BGK model of kinetic equations is presented. In principle, schemes of any order of accuracy in both space and time can be con...
Sandra Pieraccini, Gabriella Puppo
JSCIC
2007
131views more  JSCIC 2007»
13 years 11 months ago
An Analysis of the Minimal Dissipation Local Discontinuous Galerkin Method for Convection-Diffusion Problems
Abstract. We analyze the so-called the minimal dissipation local discontinuous Galerkin method for convection-diffusion or diffusion problems. The distinctive feature of this met...
Bernardo Cockburn, Bo Dong