3 citations · 12 across the 5 of their papers we have counts for
7 papers
Minimal Norm Discrete Multiplier Method
Erick Schulz, Andy T. S. Wan
We introduce an extension to the Discrete Multiplier Method (DMM), called Minimal Norm Discrete Multiplier Method (MN-DMM), where conservative finite difference schemes fo…
Traces for Hilbert Complexes
Ralf Hiptmair, Dirk Pauly, Erick Schulz
We study a new notion of trace operators and trace spaces for abstract Hilbert complexes. We introduce trace spaces as quotient spaces/annihilators. We characterize the kernels and…
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…
Div-Curl Problems and -regular Stream Functions in 3D Lipschitz Domains
Matthias Kirchhart, Erick Schulz
We consider the problem of recovering the divergence-free velocity field of a given vorticity on a bounded…
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…