SIAMNUM
2011
13 years 12 days 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 12 days 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 12 days 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 12 days 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 12 days 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 12 days 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...