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Frequency-Stable Full Maxwell in Electro-Quasistatic Gauge
(2020)SAM Research ReportThe electro-quasistatic approximation of Maxwell’s equations is commonly used to model coupled resistive/capacitive phenomena at low frequencies. It neglects induction and becomes unstable in the stationary limit. We introduce a stabilization that prevents this lowfrequency breakdown. It results in a system for the electric scalar potential that can be used for electro-quasistatics, electrostatics as well as DC-conduction. Our main ...Report -
Regular Decompositions of Vector Fields - Continuous, Discrete, and Structure-Preserving
(2019)SAM Research ReportReport -
First-Kind Galerkin Boundary Element Methods for the Hodge-Laplacian in Three Dimensions
(2018)SAM Research ReportReport -
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First-Kind Boundary Integral Equations for the Hodge-Helmholtz Equation
(2017)SAM Research ReportReport -
Splitting-Based Structure Preserving Discretizations for Magnetohydrodynamics
(2017)SAM Research ReportReport -
Second Kind Boundary Integral Equation for Multi-Subdomain Diffusion Problems
(2016)Research ReportReport -
Dual Mesh Operator Preconditioning On 3D Screens: Low-Order Boundary Element Discretization
(2016)Research ReportReport -
Large deformation shape uncertainty quantification in acoustic scattering
(2015)Research ReportWe address shape uncertainty quantification for the two-dimensional Helmholtz trans- mission problem, where the shape of the scatterer is the only source of uncertainty. In the framework of the so-called deterministic approach, we provide a high-dimensional parametrization for the interface. Each domain configuration is mapped to a nominal configuration, obtaining a problem on a fixed domain with stochastic coefficients. To compute surrogate ...Report