1 citations · 2 across the 7 of their papers we have counts for
7 papers
Space-time finite element interpolation of nonsmooth functions satisfying boundary conditions
Thomas Führer, Gregor Gantner, Roberto González +1
We construct Scott-Zhang-type space-time quasi-interpolation operators on tensor- product meshes for parabolic settings. Specifically, these are linear and uniformly bounded projec…
A Double-Adaptivity Solver for Parabolic PDEs
Gregor Gantner, Robin Smeets, Rob Stevenson
We study minimal residual space-time finite element discretizations of linear parabolic initial value problems in canonical space-time variational form. To deal with the arising du…
Adaptive space-time BEM for the heat equation with Neumann boundary conditions
Gregor Gantner, Helmut Harbrecht, Franz Nowakowsky
We consider the space-time boundary element method (BEM) for the heat equation with prescribed initial and Neumann data. We propose a weighted-residual a posteriori error estimator…
Boundary elements for clamped Kirchhoff--Love plates
Thomas Führer, Gregor Gantner, Norbert Heuer
We present a Galerkin boundary element method for clamped Kirchhoff--Love plates with piecewise smooth boundary. It is a direct method based on the representation formula and requi…
Aubin--Nitsche-type estimates for space-time FOSLS for parabolic PDEs
Thomas Führer, Gregor Gantner
We develop Aubin--Nitsche-type estimates for recently proposed first-order system least-squares finite element methods (FOSLS) for the heat equation. Under certain assumptions, whi…
Space-time FEM-BEM couplings for parabolic transmission problems
Thomas Führer, Gregor Gantner, Michael Karkulik
We develop couplings of a recent space-time first-order system least-squares (FOSLS) method for parabolic problems and space-time boundary element methods (BEM) for the heat equati…
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems
Gregor Gantner, Michele Ruggeri
We consider a hybrid FEM-BEM method to compute approximations of full-space linear elliptic transmission problems. First, we derive a priori and a posteriori error estimates. Then,…