3 papers
math.NA2026
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…
math.NA2024
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…
math.NA2024
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…