49 citations · 119 across the 18 of their papers we have counts for
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First-Kind Boundary Integral Equations for the Dirac Operator in 3D Lipschitz Domains
Erick Schulz, Ralf Hiptmair
We develop novel first-kind boundary integral equations for Euclidean Dirac operators in 3D Lipschitz domains comprising square-integrable potentials and involving only weakly sing…
Enhancing the Quantum Linear Systems Algorithm using Richardson Extrapolation
Almudena Carrera Vazquez, Ralf Hiptmair, Stefan Woerner
We present a quantum algorithm to solve systems of linear equations of the form , where is a tridiagonal Toeplitz matrix and results from d…
Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics
Erick Schulz, Ralf Hiptmair
We develop a framework shedding light on common features of coupled variational formulations arising in electromagnetic scattering and acoustics. We show that spurious resonances h…
Coupled Domain-Boundary Variational Formulations For Hodge-Helmholtz Operators
Erick Schulz, Ralf Hiptmair
We couple the mixed variational problem for the generalized Hodge-Helmholtz or Hodge-Laplace equation posed on a bounded three-dimensional Lipschitz domain with the first-kind boun…