[HTML][HTML] Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes

W Boscheri, G Dimarco, L Pareschi - Journal of Computational Physics, 2023 - Elsevier
We propose a novel Structure-Preserving Discontinuous Galerkin (SPDG) operator that
recovers at the discrete level the algebraic property related to the divergence of the curl of a …

First-kind boundary integral equations for the Dirac operator in 3-dimensional Lipschitz domains

E Schulz, R Hiptmair - SIAM Journal on Mathematical Analysis, 2022 - SIAM
We develop novel first-kind boundary integral equations for Euclidean Dirac operators in 3-
dimensional Lipschitz domains comprising square-integrable potentials and involving only …