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math.NA2024
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…