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08/02/2023
Shape Uncertainty Quantification for Electromagnetic Wave Scattering via First-Order Sparse Boundary Element Approximation
Quantifying the effects on electromagnetic waves scattered by objects of...
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05/20/2023
Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs
We establish shape holomorphy results for general weakly- and hyper-sing...
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12/14/2022
Multilevel Domain Uncertainty Quantification in Computational Electromagnetics
We continue our study [Domain Uncertainty Quantification in Computationa...
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05/10/2022
Spectral Galerkin method for solving elastic wave scattering problems with multiple open arcs
We study the elastic time-harmonic wave scattering problems on unbounded...
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01/03/2022
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains
We consider the problem of domain approximation in finite element method...
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11/15/2020
Time-Domain Multiple Traces Boundary Integral Formulation for Acoustic Wave Scattering in 2D
We present a novel computational scheme to solve acoustic wave transmiss...
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11/10/2020
Fast Galerkin Method for Solving Helmholtz Boundary Integral Equations on Screens
We solve first-kind Fredholm boundary integral equations arising from He...
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11/10/2020
Bi-Parametric Operator Preconditioning
We extend the general operator preconditioning framework [R. Hiptmair, C...
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11/05/2020
Fast Solver for Quasi-Periodic 2D-Helmholtz Scattering in Layered Media
We present a fast spectral Galerkin scheme for the discretization of bou...
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11/02/2020
The effect of quadrature rules on finite element solutions of Maxwell variational problems. Consistency estimates on meshes with straight and curved elements
We study the effects of numerical quadrature rules on error convergence ...
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10/27/2020
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering
We study the numerical solution of forward and inverse acoustic scatteri...
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08/11/2020
Accelerated Calderón preconditioning for Maxwell transmission problems
We investigate a range of techniques for the acceleration of Calderón (o...
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04/04/2020
Optimization methods for achieving high diffraction efficiency with perfect electric conducting gratings
This work presents the implementation, analysis, and convergence study o...
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03/18/2020
Local Multiple Traces Formulation for Electromagnetics: Stability and Preconditioning for Smooth Geometries
We consider the time-harmonic electromagnetic transmission problem for t...
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08/30/2019