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Numerical approach to the London Equation of superconductivity
Nicolás Barnafi, Ignacio Labarca-Figueroa, Carlos Román
The paper introduces a FEM‑BEM coupling discretization to solve the London equation for type‑II superconductors in three dimensions and uses it to compute magnetic fields and analy…
Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators
Alberto Almuna-Morales, Danilo Aballay, Ignacio Labarca-Figueroa +1
Discretizing integral formulations of the Helmholtz equation yields dense linear systems. Hence, simulating acoustic models at larger scales or higher frequencies is typically cons…
Efficient boundary elements for the Smoluchowski diffusion equation
Ignacio Labarca-Figueroa, Heiko Gimperlein
The Smoluchowski diffusion equation describes diffusion in the presence of external forces. Studying the mechanical response of soft materials to linear forces, such as shear, resu…
A posteriori error estimates and space-adaptive mesh refinements for time-dependent scattering problems
Théophile Chaumont-Frelet, Heiko Gimperlein, Ignacio Labarca-Figueroa +1
This work studies a posteriori error estimates and their use for time-dependent acoustic scattering problems, formulated as a time-dependent boundary integral equation based on a s…
Coupled Boundary and Volume Integral Equations for Electromagnetic Scattering
Ignacio Labarca-Figueroa, Ralf Hiptmair
We study frequency domain electromagnetic scattering at a bounded, penetrable, and inhomogeneous obstacle . From the Stratton-Chu integral representation,…