4 papers
Nonlinear Multilevel Solution Strategies for Diffusive Wave Flood Models in Perforated Domains
Miranda Boutilier, Konstantin Brenner, Victorita Dolean
This article investigates the numerical solution of the Diffusive Wave equation posed on domains containing a large number of polygonal perforations, motivated by urban flood model…
Learning local Dirichlet-to-Neumann maps of nonlinear elliptic PDEs with rough coefficients
Miranda Boutilier, Konstantin Brenner, Larissa Miguez
Partial differential equations (PDEs) involving high contrast and oscillating coefficients are common in scientific and industrial applications. Numerical approximation of these PD…
Robust Methods for Multiscale Coarse Approximations of Diffusion Models in Perforated Domains
Miranda Boutilier, Konstantin Brenner, Victorita Dolean
For the Poisson equation posed in a domain containing a large number of polygonal perforations, we propose a low-dimensional coarse approximation space based on a coarse polygonal…
A Trefftz-like coarse space for the two-level Schwarz method on perforated domains
Miranda Boutilier, Konstantin Brenner, Victorita Dolean
We consider a new coarse space for the ASM and RAS preconditioners to solve elliptic partial differential equations on perforated domains, where the numerous polygonal perforations…