adaptive mesh refinement 1a posteriori error estimation 1heat equation 1neumann boundary conditions 1space-time boundary element method 1
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math.NA2026
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…
math.NA2026
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…
math.NA2025
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…