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math.NA2026
Rothe time discretization and weak solutions for a cutoff Westervelt system
Marvin Fritz
We study a fully implicit Rothe time discretization for a cutoff first-order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive…
math.DG2026
A fractional de Rham complex for coframe-attached Maxwell equations
Marvin Fritz
We develop a coordinate-anchored pointwise theory of fractional tangent functionals on bounded rectangles. By working on the range of the coordinatewise Riemann-Liouville integral,…
math.NA2026
High-order conforming finite elements for the Cahn-Hilliard equation: Relative-energy stability and energy defects
Aaron Brunk, Marvin Fritz
We study a semidiscrete single-field Galerkin approximation of the Cahn-Hilliard equation using high-order conforming finite element spaces. More specifically, globally finit…