3 papers
math.NA2026
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…
cs.LG2026
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…
math.NA2026
Elliptic PDEs on log-Gaussian Shapes: Sparsity and Finite Element Discretization
Dinh Dũng, 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…