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math.NA2026
Enriched higher-order multiscale approaches with applications to wave propagation
Balaje Kalyanaraman, Felix Krumbiegel, Roland Maier +1
We consider the numerical solution of partial differential equations with coefficients that are strongly heterogeneous in space. We provide an overview of higher-order localized or…
math.NA2026
A post-processed higher-order multiscale method for nondivergence-form elliptic equations
Moritz Hauck, Roland Maier, Timo Sprekeler
We study the finite element approximation of linear second-order elliptic partial differential equations in nondivergence form with highly heterogeneous diffusion and drift coeffic…
math.NA2020
Reconstruction of quasi-local numerical effective models from low-resolution measurements
Alfonso Caiazzo, Roland Maier, Daniel Peterseim
We consider the inverse problem of reconstructing an effective model for a prototypical diffusion process in strongly heterogeneous media based on coarse measurements. The approach…