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20242026
most citedAn hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations

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math.AP2024

Well-posedness and exponential stability of dispersive nonlinear Maxwell equations with PML: An evolutionary approach

Nils Margenberg, Markus Bause

This paper presents a mathematical foundation for physical models in nonlinear optics through the lens of evolutionary equations. It focuses on two key concepts: well-posedness and…

math.NA2024

A Space-Time Multigrid Method for Space-Time Finite Element Discretizations of Parabolic and Hyperbolic PDEs

Nils Margenberg, Peter Munch

We present a space-time multigrid method based on tensor-product space-time finite element discretizations. The method is facilitated by the matrix-free capabilities of the {\ttfam…