64 citations · 83 across the 21 of their papers we have counts for
26 papers
Freezing Calderón: Robust Preconditioning for Maxwell Scattering under Shape Uncertainty
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
Calderón preconditioning restores mesh-independent conditioning for boundary-element discretizations of the Maxwell electric field integral equation, but assembling the dual baryce…
Shape Holomorphy and Sparse Approximation of the Maxwell Electric Field Integral Operator
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
Time-harmonic Maxwell scattering by a perfectly conducting obstacle is governed by the electric field integral equation (EFIE), whose natural energy space is $\boldsymbol H^{-1/2}(…
Local Multiple Traces Formulation for Heterogeneous Electromagnetic Scattering: Implementation and Preconditioning
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
We consider the three-dimensional time-harmonic electromagnetic (EM) wave scattering transmission problem involving heterogeneous scatterers. The fields are approximated using the…
Cell Electropermeabilization Modeling via Multiple Traces Formulation and Time Semi-Implicit Coupling
Isabel A. Martínez Ávila, Carlos Jerez-Hanckes, Irina Pettersson
We simulate the electrical response of multiple disjoint biological 3D cells undergoing an electropermeabilization process. Instead of solving the boundary value problem in the unb…
Shape Uncertainty Quantification for Electromagnetic Wave Scattering via First-Order Sparse Boundary Element Approximation
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
Quantifying the effects on electromagnetic waves scattered by objects of uncertain shape is key for robust design, particularly in high precision applications. Assuming small rando…
Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs
Jose Pinto, Fernando Henríquez, Carlos Jerez-Hanckes
We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial differential equations in unbounded two-d…
Multilevel Domain Uncertainty Quantification in Computational Electromagnetics
Rubén Aylwin, Carlos Jerez-Hanckes, Christoph Schwab +1
We continue our study [Domain Uncertainty Quantification in Computational Electromagnetics, JUQ (2020), 8:301--341] of the numerical approximation of time-harmonic electromagnetic…
Derivation of a bidomain model for bundles of myelinated axons
Carlos Jerez-Hanckes, Isabel A. Martínez Ávila, Irina Pettersson +1
The work concerns the multiscale modeling of a nerve fascicle of myelinated axons. We present a rigorous derivation of a macroscopic bidomain model describing the behavior of the e…
Spectral Galerkin method for solving elastic wave scattering problems with multiple open arcs
Carlos Jerez-Hanckes, Jose Pinto, Tao Yin
We study the elastic time-harmonic wave scattering problems on unbounded domains with boundaries composed of finite collections of disjoints finite open arcs (or cracks) in two dim…
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains
Rubén Aylwin, Carlos Jerez-Hanckes
We consider the problem of domain approximation in finite element methods for Maxwell equations on curved domains, i.e., when affine or polynomial meshes fail to exactly cover the…
Shape differentiability of Helmholtz scattering problems via explicit shape calculus
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
We consider the time-harmonic scalar wave scattering problems with Dirichlet, Neumann, impedance and transmission boundary conditions. Under this setting, we analyze how sensitive…
Fast Galerkin Method for Solving Helmholtz Boundary Integral Equations on Screens
Jose Pinto, Carlos Jerez-Hanckes
We solve first-kind Fredholm boundary integral equations arising from Helmholtz and Laplace problems on bounded, smooth screens in three-dimensions with either Dirichlet or Neumann…
Fast Solver for Quasi-Periodic 2D-Helmholtz Scattering in Layered Media
José Pinto, Rubén Aylwin, Carlos Jerez-Hanckes
We present a fast spectral Galerkin scheme for the discretization of boundary integral equations arising from two-dimensional Helmholtz transmission problems in multi-layered perio…
The effect of quadrature rules on finite element solutions of Maxwell variational problems. Consistency estimates on meshes with straight and curved elements
Rubén Aylwin, Carlos Jerez-Hanckes
We study the effects of numerical quadrature rules on error convergence rates when solving Maxwell-type variational problems via the curl-conforming or edge finite element method.…
Time-Domain Multiple Traces Boundary Integral Formulation for Acoustic Wave Scattering in 2D
Carlos Jerez-Hanckes, Ignacio Labarca
We present a novel computational scheme to solve acoustic wave transmission problems over composite scatterers, i.e. penetrable obstacles possessing junctions or triple points. Our…
Bi-Parametric Operator Preconditioning
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
We extend the operator preconditioning framework [R. Hiptmair, Comput. Math. with Appl. 52 (2006), pp.~699--706] to Petrov-Galerkin methods while accounting for parameter-dependent…
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering
Jürgen Dölz, Helmut Harbrecht, Carlos Jerez-Hanckes +1
We study the numerical solution of forward and inverse acoustic scattering problems by randomly shaped obstacles in three-dimensional space using a fast isogeometric boundary eleme…
Accelerated Calderón preconditioning for Maxwell transmission problems
Antigoni Kleanthous, Timo Betcke, David P. Hewett +3
We investigate a range of techniques for the acceleration of Calderón (operator) preconditioning in the context of boundary integral equation methods for electromagnetic transmissi…
Optimization methods for achieving high diffraction efficiency with perfect electric conducting gratings
Rubén Aylwin, Gerardo Silva-Oelker, Carlos Jerez-Hanckes +1
This work presents the implementation, numerical examples and experimental convergence study of first- and second-order optimization methods applied to one-dimensional periodic gra…
Local Multiple Traces Formulation for Electromagnetics: Stability and Preconditioning for Smooth Geometries
Alan Ayala, Xavier Claeys, Paul Escapil-Inchauspé +1
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 t…
Helmholtz scattering by random domains: first-order sparse boundary element approximation
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
We consider the numerical solution of time-harmonic acoustic scattering by obstacles with uncertain geometries for Dirichlet, Neumann, impedance and transmission boundary condition…
Derivation of cable equation by multiscale analysis for a model of myelinated axons
Carlos Jerez-Hanckes, Irina Pettersson, Volodymyr Rybalko
The paper concerns the multiscale modeling of a myelinated axon. Taking into account the microstructure with alternating myelinated parts and nodes Ranvier, we derive a nonlinear c…
Domain Decomposition Methods based on quasi-optimal transmission operators for the solution of Helmholtz transmission problems
Yassine Boubendir, Carlos Jerez-Hanckes, Carlos Pérez-Arancibia +1
We present non-overlapping Domain Decomposition Methods (DDM) based on quasi-optimal transmission operators for the solution of Helmholtz transmission problems with piece-wise cons…
Closed-Form Exact Inverses of the Weakly Singular and Hypersingular Operators On Disks
Ralf Hiptmair, Carlos Jerez-Hanckes, Carolina Urzua-Torres
We introduce new boundary integral operators which are the exact inverses of the weakly singular and hypersingular operators for the Laplacian on flat disks. Moreover, we provide e…