Cell Electropermeabilization Modeling via Multiple Traces Formulation and Time Semi-Implicit Multistep Coupling

IAM Ávila, C Jerez-Hanckes, I Pettersson - SIAM Journal on Scientific …, 2024 - SIAM
We simulate the electrical response of multiple disjoint biological three-dimensional cells
undergoing an electropermeabilization process. Instead of solving the boundary value …

Multitrace/singletrace formulations and domain decomposition methods for the solution of Helmholtz transmission problems for bounded composite scatterers

C Jerez-Hanckes, C Pérez-Arancibia, C Turc - Journal of Computational …, 2017 - Elsevier
We present Nyström discretizations of multitrace/singletrace formulations and non-
overlap** Domain Decomposition Methods (DDM) for the solution of Helmholtz …

High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs

C Jerez-Hanckes, J Pinto - ESAIM: Mathematical Modelling and …, 2020 - esaim-m2an.org
We present a spectral Galerkin numerical scheme for solving Helmholtz and Laplace
problems with Dirichlet boundary conditions on a finite collection of open arcs in two …

Local multiple traces formulation for electromagnetics: Stability and preconditioning for smooth geometries

A Ayala, X Claeys, P Escapil-Inchauspé… - … of Computational and …, 2022 - Elsevier
We consider the time-harmonic electromagnetic transmission problem for the unit sphere.
Appealing to a vector spherical harmonics analysis, we prove the first stability result of the …

Cell Electropermeabilization Modeling via Multiple Traces Formulation and Time Semi-Implicit Coupling

IAM Ávila, C Jerez-Hanckes, I Pettersson - arxiv preprint arxiv:2403.19371, 2024 - arxiv.org
We simulate the electrical response of multiple disjoint biological 3D cells in the
electropermeabilization process. Instead of solving the boundary value problem in the …

Fast spectral Galerkin method for logarithmic singular equations on a segment

C Jerez-Hanckes, S Nicaise, C Urzúa-Torres - Journal of Computational …, 2018 - JSTOR
We present a fast Galerkin spectral method to solve logarithmic singular equations on
segments. The proposed method uses weighted first-kind Chebyshev polynomials …

Static Surface Mode Expansion for the Electromagnetic Scattering From Penetrable Objects

C Forestiere, G Gravina, G Miano… - … on Antennas and …, 2023 - ieeexplore.ieee.org
We introduce longitudinal and transverse static surface modes and use them to solve the
scattering problem from penetrable objects with arbitrary shapes. The longitudinal static …

Applications of Boundary Integral Equations and Homogenization for the Numerical Simulation of Living Tissues

IAM Ávila - 2023 - search.proquest.com
During the last decades, enormous progress has been achieved in biomedical applications
thanks to the ability to model and computationally simulate complex underlying phenomena …

Local multiple traces formulation for high-frequency scattering problems by spectral elements

C Jerez-Hanckes, J Pinto, S Tournier - Scientific Computing in Electrical …, 2016 - Springer
We provide a novel ready-to-precondition boundary integral formulation to solve Helmholtz
scattering problems by heterogenous penetrable objects in two dimensions exhibiting high …

Time-domain multiple traces boundary integral formulation for acoustic wave scattering in 2D

C Jerez-Hanckes, I Labarca - Engineering Analysis with Boundary …, 2023 - Elsevier
We present a novel computational scheme to solve acoustic wave transmission problems
over two-dimensional composite scatterers, ie penetrable obstacles possessing junctions or …