5 papers
Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexity
Thomas Führer, Paula Hilbert, Ani Miraçi +1
We analyze optimal complexity of adaptive finite element methods (AFEMs) for general second-order linear elliptic partial differential equations (PDEs) in the Lax-Milgram setting.…
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…
A posteriori analysis of neural network approximations
Thomas Führer, Sergio Rojas
In a general setting, we study a posteriori estimates used in finite element analysis to measure the error between a solution and its approximation. The latter is not necessarily g…
A space-time finite element method for parabolic obstacle problems
José JoaquÃn Carvajal, Davood Damircheli, Thomas Führer +2
We propose and analyze a general framework for space-time finite element methods that is based on least-squares finite element methods for solving a first-order reformulation of th…
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…