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math.NA2025
Convergence of Discrete Exterior Calculus for the Hodge-Dirac Operator
Radovan Dabetić, Ralf Hiptmair
A short proof of convergence for the discretization of the Hodge-Dirac operator in the framework of discrete exterior calculus (DEC) is provided using the techniques established in…
math.NA2025
Convergence of Calderón residuals
Ralf Hiptmair, Carolina Urzúa-Torres, Anouk Wisse
In this paper, we describe a framework to compute expected convergence rates for residuals based on the Calderón identities for general second order differential operators for whic…
math.NA2024
FloquetBloch analysis of wave propagation with time-periodic coefficients
Jörg Nick, Ralf Hiptmair, Habib Ammari
This paper presents a numerical investigation of acoustic wave propagation in an obstacle with periodically time-modulated material parameters. We focus on the numerical constructi…