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 …
dimensional Lipschitz domains comprising square-integrable potentials and involving only …
[HTML][HTML] On the spurious resonance modes of time domain integral equations for analyzing acoustic scattering from penetrable objects
The interior resonance problem of time domain integral equations (TDIEs) formulated to
analyze acoustic field interactions on penetrable objects is investigated. Two types of TDIEs …
analyze acoustic field interactions on penetrable objects is investigated. Two types of TDIEs …
[HTML][HTML] Coupled domain-boundary variational formulations for Hodge–Helmholtz operators
E Schulz, R Hiptmair - Integral Equations and Operator Theory, 2022 - Springer
We couple the mixed variational problem for the generalized Hodge–Helmholtz or Hodge–
Laplace equation posed on a bounded 3D Lipschitz domain with the first-kind boundary …
Laplace equation posed on a bounded 3D Lipschitz domain with the first-kind boundary …
[HTML][HTML] Numerical analysis & no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968–2019)
This is the preface of a special issue dedicated to the memory of Francisco Javier Sayas
who passed away on April 2, 2019. The articles reflect Sayas' main research interests in the …
who passed away on April 2, 2019. The articles reflect Sayas' main research interests in the …
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 …
value problems involving the Hodge--Dirac and Hodge--Laplace operators associated with …
[PDF][PDF] On the Spurious Interior Resonance Modes of Time Domain Integral Equations for Analyzing Acoustic Scattering from Penetrable Objects
The interior resonance problem of time domain integral equations (TDIEs) formulated to
analyze acoustic field interactions on penetrable objects is investigated. Two types of TDIEs …
analyze acoustic field interactions on penetrable objects is investigated. Two types of TDIEs …