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 …

Spurious resonances in coupled domain-boundary variational formulations of transmission problems in electromagnetism and acoustics

E Schulz, R Hiptmair - Computational Methods in Applied …, 2022 - degruyter.com
We develop a framework shedding light on common features of coupled variational
formulations arising in electromagnetic scattering and acoustics. We show that spurious …

[PDF][PDF] Soluções Inovadoras para Barreiras Acústicas em Ambiente Ferroviário

JML dos Santos - 2024 - researchgate.net
O transporte ferroviário afigura-se como a alternativa mais viável em termos de
sustentabilidade económica e ambiental para assegurar os objetivos de neutralidade …

Boundary Integral Exterior Calculus

E Schulz - 2022 - research-collection.ethz.ch
In this thesis, we ultimately develop first-kind boundary integral equations for boundary
value problems involving the Hodge--Dirac and Hodge--Laplace operators associated with …