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math.NA2022★ 1 cited
Fully discrete Heterogeneous Multiscale Method for parabolic problems with multiple spatial and temporal scales
Daniel Eckhardt, Barbara Verfürth
The aim of this work is the numerical homogenization of a parabolic problem with several time and spatial scales using the heterogeneous multiscale method. We replace the actual ce…
math.NA2022
Higher-order finite element methods for the nonlinear Helmholtz equation
Barbara Verfürth
In this work, we analyze the finite element method with arbitrary but fixed polynomial degree for the nonlinear Helmholtz equation with impedance boundary conditions. We show well-…