4 papers
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…
Stable skeleton integral equations for general coefficient Helmholtz transmission problems
Benedikt Gräßle, Ralf Hiptmair, Stefan Sauter
A novel variational formulation of layer potentials and boundary integral operators generalizes their classical construction by Green's functions, which are not explicitly availabl…
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…
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…