3 papers
math.NA2025
Paving the way to a -coercive method for the wave equation
Daniel Hoonhout, Richard Löscher, Carolina Urzúa-Torres
In this paper, we take a first step toward introducing a space-time transformation operator that establishes -coercivity for the weak variation…
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.NA2025
Towards Stable Second-Kind Boundary Integral Equations for Transient Wave Problems
Daniel Hoonhout, Carolina Urzúa-Torres
In this paper, we discuss the stable discretisation of the double layer boundary integral operator for the wave equation in . For this, we show that the boundary integral formu…