Superconvergence and H(div) projection for discontinuous Galerkin methods
Copyright policy )Superconvergence and H(div) projection for discontinuous Galerkin methods
AbstractWe introduce and analyse a projection of the discontinuous Galerkin (DG) velocity approximations that preserve the local mass conservation property. The projected velocities have the additional property of continuous normal component. Both theoretical and numerical convergence rates are obtained which show that the accuracy of the DG velocity field is maintained. Superconvergence properties of the DG methods are shown. Finally, numerical simulations of complicated flow and transport problem illustrate the benefits of the projection. Copyright © 2003 John Wiley & Sons, Ltd.
- Heidelberg University Germany
- University of Pittsburgh United States
error estimates, discontinuous Galerkin velocity approximations, local mass conservation, Flows in porous media; filtration; seepage, locally conservative projection, superconvergence of fluxes, numerical convergence rates, flow transport problem, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics
error estimates, discontinuous Galerkin velocity approximations, local mass conservation, Flows in porous media; filtration; seepage, locally conservative projection, superconvergence of fluxes, numerical convergence rates, flow transport problem, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).73 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!