SIAMSC
2011
12 years 7 months ago
2011
Abstract. Adaptive multiscale methods are among the many effective techniques for the numerical solution of partial differential equations. Efficient grid management is an import...
JSCIC
2010
12 years 11 months ago
2010
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...
JCAM
2010
12 years 11 months ago
2010
A new approach to slope limiting for discontinuous Galerkin methods on arbitrary meshes is introduced. A local Taylor basis is employed to express the approximate solution in term...
MOC
2011
12 years 12 months ago
2011
Abstract. In this paper, we analyze a hybridizable discontinuous Galerkin method for numerically solving the Stokes equations. The method uses polynomials of degree k for all the c...
JSCIC
2007
13 years 4 months ago
2007
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...
JSCIC
2007
13 years 4 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 4 months ago
2007
We present a class of discontinuous Galerkin methods for the incompressible Navier-Stokes equations yielding exactly divergence-free solutions. Exact incompressibility is achieved...
COMPGEOM
2004
ACM
13 years 8 months ago
2004
ACM
We propose a new algorithm for constructing finite-element meshes suitable for spacetime discontinuous Galerkin solutions of linear hyperbolic PDEs. Given a triangular mesh of som...