From the 1 of 4 linked papers with an AI index.
4 papers
Adaptive space-time BEM for the heat equation with Neumann boundary conditions
Gregor Gantner, Helmut Harbrecht, Franz Nowakowsky
The paper introduces a weighted‑residual a posteriori error estimator for space‑time boundary element methods applied to the heat equation with Neumann boundary data, enabling adap…
Neural Shape Operator Surrogates -- Expression Rate Bounds
Helmut Harbrecht, Christoph Schwab
We prove error bounds for operator surrogates of solution operators for partial differential and boundary integral equations on families of domains which are diffeomorphic to one c…
Elliptic PDEs on log-Gaussian Shapes: Sparsity and Finite Element Discretization
Dinh DÅ©ng, Helmut Harbrecht, Van Kien Nguyen +1
In this article, we consider the solution to elliptic diffusion problems on a class of random domains obtained by log-Gaussian random homothety of the unit disk respectively an ann…
Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation
Helmut Harbrecht, Christoph Schwab, Marco Zank
On a finite time interval , we consider the multiresolution Galerkin discretization of a modified Hilbert transform which arises in the space-time Galerkin di…