Journal of Scientific Computing
Journal of Scientific Computing
Analysis of Discontinuous Galerkin Methods for Multicomponent Reactive Transport Problems
Computers & Mathematics with Applications
Estimation of penalty parameters for symmetric interior penalty Galerkin methods
Journal of Computational and Applied Mathematics
Multiscale Discontinuous Galerkin Methods for Modeling Flow and Transport in Porous Media
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Journal of Computational and Applied Mathematics
Superconvergence of discontinuous Galerkin methods for hyperbolic systems
Journal of Computational and Applied Mathematics
Discontinuous Galerkin methods for the chemotaxis and haptotaxis models
Journal of Computational and Applied Mathematics
Analysis of hp discontinuous Galerkin methods for incompressible two-phase flow
Journal of Computational and Applied Mathematics
Uniformly Convergent Iterative Methods for Discontinuous Galerkin Discretizations
Journal of Scientific Computing
Journal of Scientific Computing
Journal of Scientific Computing
A discontinuous Galerkin method for the Vlasov-Poisson system
Journal of Computational Physics
A discontinuous Galerkin method for gravity-driven viscous fingering instabilities in porous media
Journal of Computational Physics
Computers & Mathematics with Applications
Hi-index | 0.02 |
For solving reactive transport problems in porous media, we analyze three primal discontinuous Galerkin (DG) methods with penalty, namely, symmetric interior penalty Galerkin (SIPG), nonsymmetric interior penalty Galerkin (NIPG), and incomplete interior penalty Galerkin (IIPG). A cut-off operator is introduced in DG to treat general kinetic chemistry. Error estimates in L2(H1) are established, which are optimal in h and nearly optimal in p. We develop a parabolic lift technique for SIPG, which leads to h-optimal and nearly p-optimal error estimates in the L2(L2) and negative norms. Numerical results validate these estimates. We also discuss implementation issues including penalty parameters and the choice of physical versus reference polynomial spaces.