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...
SIAMNUM
2010
12 years 11 months ago
2010
Abstract. We study discontinuous Galerkin methods for solving elliptic variational inequalities, of both the first and second kinds. Analysis of numerous discontinuous Galerkin sch...
JSCIC
2010
12 years 11 months ago
2010
A new way of devising numerical methods is introduced whose distinctive feature is the computation of a finite element approximation only in a polyhedral subdomain D of the origina...
SIAMNUM
2011
12 years 11 months ago
2011
We derive energy-norm a posteriori error bounds for an Euler timestepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems. For acc...
SIAMSC
2010
13 years 2 months ago
2010
The radiative transfer equation (RTE) occurs in a wide variety of applications. In this paper, we study discrete-ordinate discontinuous Galerkin methods for solving the RTE. The nu...
MOC
1998
13 years 4 months ago
1998
The numerical solution of a parabolic equation with memory is considered. The equation is first discretized in time by means of the discontinuous Galerkin method with piecewise co...
APPML
2010
13 years 4 months ago
2010
A smoothness/shock indicator is proposed for the RKDG methods solving nonlinear conservation laws. A few numerical experiments are presented as evidence that the indicator helps in...
ICCS
2009
Springer
13 years 11 months ago
2009
Springer
Climate simulation will not grow to the ultrascale without new algorithms to overcome the scalability barriers blocking existing implementations. Until recently, climate simulation...