SIAMNUM
2011
13 years 6 months ago
2011
A simultaneous space-time variational formulation of a parabolic evolution problem is solved with an adaptive wavelet method. This method is shown to converge with the best possibl...
SIAMNUM
2011
13 years 6 months ago
2011
In this paper we prove the discrete compactness property for a wide class of p finite element approximations of non-elliptic variational eigenvalue problems in two and three spac...
SIAMNUM
2011
13 years 6 months ago
2011
This paper gives a numerical validation of the continuous mesh framework introduced in Part I [23]. We numerically show that the interpolation error can be evaluated analytically o...
SIAMNUM
2011
13 years 6 months ago
2011
The coupled problem with Stokes flow in one subdomain and a Darcy flow model in a second subdomain is studied in this paper. Both flow problems are treated as first-order syste...
SIAMNUM
2011
13 years 6 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...
SIAMNUM
2011
13 years 6 months ago
2011
We prove a posteriori error estimates for time discrete approximations, for semilinear parabolic equations with solutions that might blow-up in finite time. In particular we consi...