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math.NA2026

Numerical approach to the London Equation of superconductivity

Nicolás Barnafi, Ignacio Labarca-Figueroa, Carlos Román

In this work, we propose a general discretization strategy for solving the London equation for type-II superconductors in the whole space . To compute the magnetic fi…

math.NA2026

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…

math.NA2026

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…

math.NA2025

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…

math.NA2024

Domain Uncertainty Quantification for the Lippmann-Schwinger Volume Integral Equation

Fernando Henríquez, Ignacio Labarca-Figueroa

In this work, we consider the propagation of acoustic waves in unbounded domains characterized by a constant wavenumber, except possibly in a bounded region. The geometry of this i…