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JSCIC
2007
13 years 5 months ago
2007
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...
JSCIC
2007
13 years 5 months ago
2007
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...
JSCIC
2007
13 years 5 months ago
2007
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...
JSCIC
2007
13 years 5 months ago
2007
In one dimension, viscosity solutions of Hamilton-Jacobi (HJ) equations can be thought as primitives of entropy solutions for conservation laws. Based on this idea, both theoretica...
JSCIC
2007
13 years 5 months ago
2007
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 ...