40 citations · 59 across the 24 of their papers we have counts for
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math.NA2017
The variable-order discontinuous Galerkin time stepping scheme for parabolic evolution problems is uniformly -stable
Lars Schmutz, Thomas P. Wihler
In this paper we investigate the -stability of fully discrete approximations of abstract linear parabolic partial differential equations. The method under consid…
math.NA2017★ 9 cited
A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems
Emmanuil H. Georgoulis, Omar Lakkis, Thomas P. Wihler
We consider fully discrete time-space approximations of abstract linear parabolic partial differential equations (PDEs) consisting of an -version discontinuous Galerkin (DG) ti…
math.NA2017
A Nitsche Finite Element Approach for Elliptic Problems with Discontinuous Dirichlet Boundary Conditions
Ramona Baumann, Thomas P. Wihler
We present a numerical approximation method for linear diffusion-reaction problems with possibly discontinuous Dirichlet boundary conditions. The solution of such problems can be r…