Research Explorer

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Researcher

Kristof Cools

Publications & Research Data

Awards & Distinctions

103 Results

2025

Calderon preconditioners for the global multi-trace vector potential integral equation

Paul OlyslagerHendrik RogierKristof Cools

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

Efficient modeling and optimization approach for grating-based flow cytometers

Adam BarzanjiThijs UllrickKristof CoolsTom ReepNiels VerellenGunay YurtseverWim Bogaerts

A1 Journal Article in OPTICS EXPRESS

Study of accuracy of approximate boundary conditions for scattering by dielectric objects

Prakash JayKristof Cools

Theory and computation of electromagnetic fields in layered media

2024

A combined field integral equation for scattering by open surfaces

Paul OlyslagerHendrik RogierKristof Cools

A DC stable, well-conditioned and low-frequency regularized time-domain PMCHWT equation

Van Chien LeF.P. AndriulliKristof Cools

A fast converging boundary element method for the scattering by perfectly conducting non-orientable objects

Kristof CoolsCarolina Urzua-Torres

A stabilized time-domain combined field integral equation using the quasi-Helmholtz projectors

Van Chien LePierrick CordelFrancesco P. AndriulliKristof Cools

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

A time domain combined field integral equation for open screens

Paul OlyslagerHendrik RogierKristof Cools

Accurate and efficient integral equations for the modeling of composite and non-uniform systems

Cedric MüngerKristof Cools

An operator preconditioned combined field integral equation for electromagnetic scattering

Van Chien LeKristof Cools

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

Block diagonal Calderón preconditioning for scattering at multi-screens

Kristof CoolsCarolina Urzua-Torres

A1 Journal Article in BIT NUMERICAL MATHEMATICS

Fast and accurate time domain solver based on the exact calculation of matrix entries in boundary element method for scalar wave scattering

Alessandro ZuccottiKristof Cools

Multi-trace integral equation for the vector potential

Paul OlyslagerHendrik RogierKristof Cools

Multi-trace single source equations free from PEC resonances

Cedric MüngerKristof Cools

Newton-raphson nonlinear solver for electric field integral equation and resistive boundary condition

Prakash JayM.T. GreenawayKristof Cools

Numerically stable analytical computation of double surface integrals over almost parallel flat supports for time and frequency domain Galerkin discretization of wave scattering problems

Alessandro ZuccottiKristof Cools

Refinement free single source formulation of scattering by penetrable objects

Alessandro ZuccottiKristof Cools

Resonant free multi-trace, single source equations for penetrable structures

Cedric MüngerKristof Cools

Toward the design of preconditioners for the global multi-trace integral equation for the vector potential

Paul OlyslagerHendrik RogierKristof Cools

Use of 2nd order Rao-Wilton-Glisson basis functions to model scattering by strongly nonlinear surfaces

Prakash JayKristof Cools

2023

A Yukawa-Calderón time-domain combined field integral equation for electromagnetic scattering

Van Chien LePierrick CordelFrancesco P. AndriulliKristof Cools

Exact calculation of matrix entries in space-time Galerkin time domain boundary element method for the scalar wave equation

Alessandro ZuccottiKristof Cools

Multi-screen boundary element methods for the time domain electric field integral equation

Kristof CoolsCarolina Urzua-Tones

Multi-trace formulation of internally combined volume-surface integral equations

Cedric MüngerKristof Cools

On a time domain Calderón preconditioned CFIE discretized with convolution quadratures

Pierrick CordelVan Chien LeAdrien MerliniKristof CoolsFrancesco P. Andriulli

Resection strategy for the multi-level plane wave time domain algorithm

Cedric MüngerKristof Cools

Single source formulation for the scattering/transmission problem by penetrable targets including conducting multi-screens

Single source volume-surface integral equations for scattering on nonuniform structures

Cedric MüngerKristof Cools

Time-domain boundary element method incorporating strongly nonlinear conductivity for application in the modeling of 2D devices

Prakash JayMark T. GreenawayKristof Cools

Volume-surface integral equation solver for chiral media

Paul OlyslagerCedric MüngerHendrik RogierKristof Cools

2022

A fast converging resonance-free global multi-trace method for scattering by partially coated composite structures

Shakirudeen LasisiTrevor M. BensonGabriele GradoniMark GreenawayKristof Cools

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

Efficient evaluation of volume integral equations

Cedric MüngerKristof Cools

Efficient numerical evaluation of singular integrals in volume integral equations

Cedric MüngerKristof Cools

A2 Journal Article in IEEE JOURNAL ON MULTISCALE AND MULTIPHYSICS COMPUTATIONAL TECHNIQUES

Modeling of resonant tunneling diode oscillators based on the time-domain boundary element method

Shakirudeen O. LasisiTrevor M. BensonMark T. GreenawayGabriele GradoniKristof Cools

A2 Journal Article in IEEE JOURNAL ON MULTISCALE AND MULTIPHYSICS COMPUTATIONAL TECHNIQUES

Preconditioners for multi-screen scattering

Kristof CoolsCarolina Urzua-Torres

2014

A magnetic type integral operator which is stable till extremely low frequencies

FP AndriulliIgnace BogaertKristof CoolsE Michielssen

2012

A Calderon multiplicative preconditioner for the PMCHWT equation for scattering by chiral objects

Yves BegheinKristof CoolsFrancesco P. AndriulliDaniël De ZutterEric Michielssen

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

Accurate and conforming mixed discretization of the chiral Müller equation

Yves BegheinKristof CoolsFrancesco P AndriulliDaniël De ZutterEric Michielssen

Accurate temporal discretization of time domain boundary integral equations

Yves BegheinKristof CoolsDaniël De Zutter

Analysis and discretization of the Yukawa-Calderon preconditioned CFIE

Francesco P AndriulliKristof CoolsIgnace BogaertHakan BagciPasi Yla-OjialaEric Michielssen

Low-frequency regularization of the mixed-discretized Calderon CFIE

Francesco P AndriulliKristof CoolsIgnace BogaertHakan BagciPasi Ylä-OijalaEric Michielssen

On the low frequency behavior of the mixed discretized time domain magnetic field integral equation

H Arda ÜlküIgnace BogaertKristof CoolsFrancesco P. AndriulliHakan Bagci

On the mixed discretization of the time domain magnetic field integral equation

H Arda ÜlküIgnace BogaertKristof CoolsFrancesco P AndriulliHakan Bagci

Projection based quasi-Helmholtz decompositions: loop/star-like schemes without the search for global loops

Francesco P AndriulliIgnace BogaertKristof CoolsEric Michielssen

2011

A Calderon multiplicative preconditioner for PEC structures containing junctions

FP AndriulliKristof CoolsE Michielssen

A new approach to BOR-FDTD subgridding

Wouter TierensDaniël De ZutterKristof Cools

Accurate and conforming mixed discretization of the MFIE

Kristof CoolsFP AndriulliDaniël De ZutterE Michielssen

A1 Journal Article in IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS

Accurate and efficient algorithms for boundary element methods in electromagnetic scattering: a tribute to the work of F. Olyslager

Kristof CoolsIgnace BogaertJan FostierJoris PeetersDries Vande GinsteHendrik RogierDaniël De Zutter

A1 Journal Article in RADIO SCIENCE

Calderon multiplicative preconditioner for the PMCHWT equation applied to chiral media

Yves BegheinKristof CoolsFrancesco P AndriulliDaniël De ZutterEric Michielssen

High-order Calderon multiplicative preconditioner for time domain electric field integral equations

Felipe ValdésMohsen Ghaffari-MiabFrancesco P AndriulliKristof CoolsJoseph D KotulskiEric Michielssen

High-order div- and quasi curl-conforming basis functions for calderon multiplicative preconditioning of the EFIE

Felipe ValdesFrancesco P AndriulliKristof CoolsEric Michielssen

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

Low frequency scaling of the mixed MFIE for scatterers with a non-simply connected surface

Ignace BogaertKristof CoolsFP AndriulliDaniël De Zutter

Low frequency stability of the mixed discretization of the MFIE

Ignace BogaertKristof CoolsFP AndriulliJoris PeetersDaniël De Zutter

MoM impedance integrals in conductive media

Joris PeetersIgnace BogaertKristof CoolsDaniël De Zutter

2010

A broadband stable and efficient addition theorem for the two-dimensional Helmholtz equation

Ignace BogaertDaniël De ZutterKristof CoolsJan FostierBart MichielsJoris Peeters

A calderon multiplicative preconditioner for coupled surface-volume electric field integral equations

Hakan BagciFrancesco P AndriulliKristof CoolsFemke OlyslagerEric Michielssen

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

A generalized Calderón preconditioner for the electric field integral equation

FP AndriulliF ValdésKristof CoolsE Michielssen

Acceleration of the Calderón preconditioned PMCHWT solver by the asynchronously parallelized NSPWMLFMA

Kristof CoolsJoris PeetersIgnace BogaertJan FostierBart MichielsFP AndriulliDaniël De Zutter

Combining Calderon preconditioning with fast multipole methods

Joris PeetersIgnace BogaertKristof CoolsJan FostierDaniël De Zutter

Design of asynchronous and scalable MLFMA implementations

Jan FostierBart MichielsJoris PeetersIgnace BogaertKristof CoolsDaniël De Zutter

Determination of the macroscopic permeability of swiss rolls

Bart MichielsIgnace BogaertJan FostierKristof CoolsDaniël De Zutter

Embedding calderon multiplicative preconditioners in multilevel fast multipole algorithms

Joris PeetersKristof CoolsIgnace BogaertFemke OlyslagerDaniël De Zutter

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

Fully localized high-order div- and quasi-curl-conforming basis functions for multiplicative Calderón preconditioning of the EFIE

Felipe ValdésFrancesco AndriulliKristof CoolsJoseph D KotulskiEric Michielssen

Improving the accuracy of the Calderón preconditioned CFIE by using a mixed discretization

Kristof CoolsFP AndriulliP Ylä-OijalaH BagciDaniël De ZutterE Michielssen

Mixed discretization schemes for combined field integral equations

Pasi Ylä-OijalaSami P KiminkiKristof CoolsFrancesco P AndriulliSeppo Järvenpää

Recent advances in boundary element methods applied to conducting and dielectric electromagnetic scattering problems

Kristof CoolsIgnace BogaertJan FostierJoris PeetersDries Vande GinsteHendrik RogierDaniël De Zutter

Well-conditioned conforming boundary integral based solvers for the modeling of scattering by penetrable objects

Kristof CoolsFP AndriulliP Ylä-OijalaJoris PeetersIgnace BogaertJan FostierDaniël De Zutter

2009

A Calderón multiplicative preconditioner for the combined field integral equation

Hakan BagciFrancesco P AndriulliKristof CoolsFemke OlyslagerEric Michielssen

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

A Calderón multiplicative preconditioner for the PMCHWT integral equation

Femke OlyslagerKristof CoolsJoris PeetersFrancesco P AndriulliEric Michielssen

A Caldéron preconditioned PMCHWT equation

Kristof CoolsFrancesco P AndriulliFemke Olyslager

An hybrid Calderón-hierarchical preconditioner for the EFIE analysis of radiation and scattering from PEC bodies

Francesco P AndriulliHakan BagciKristof CoolsEric MichielssenFemke OlyslagerGiuseppe Vecchi

CMP-based discretization of the combined field integral equation

Hakan BagciFrancesco P AndriulliKristof CoolsFemke OlyslagerEric Michielssen

CMP-based discretization of the coupled surface and volume electric field integral equations

Hakan BagciFrancesco P AndriulliKristof CoolsFemke OlyslagerEric Michielssen

Design of accurate and efficient boundary-integral-based solvers for the study of electromagnetic scattering

Kristof CoolsIgnace BogaertJan FostierJoris PeetersDaniël De Zutter

High-order quasi-curl conforming functions for multiplicative Calderón preconditioning of the EFIE

Felipe ValdésFrancesco P AndriulliKristof CoolsEric Michielssen

Improving the MFIE's accuracy by using a mixed discretization

Kristof CoolsFrancesco P AndriulliFemke OlyslagerEric Michielssen

Nullspaces of MFIE and Calderón preconditioned EFIE operators applied to toroidal surfaces

Kristof CoolsFrancesco P AndriulliFemke OlyslagerEric Michielssen

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

On the use of high-order quasi-curl conforming basis functions for the PMCHWT and Müller integral equations

Felipe ValdésFrancesco P AndriulliKristof CoolsEric Michielssen

Preconditioning of wire simulations in the presence of junctions

David BekeKristof CoolsFemke OlyslagerEric Michielssen

Time domain Calderón identities and their application to the integral equation analysis of scattering by PEC objects, part I: preconditioning

Kristof CoolsFrancesco P AndriulliFemke OlyslagerEric Michielssen

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

Time domain Calderón identities and their application to the integral equation analysis of scattering by PEC objects, part II: stability

Francesco P AndriulliKristof CoolsFemke OlyslagerEric Michielssen

A1 Journal Article in IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

2008

A multiplicative Calderón preconditioner for the electric field integral equation

Francesco P. AndriulliKristof CoolsHakan BagciFemke OlyslagerAnnalisa BuffaSnorre ChristiansenEric Michielssen

A1 Journal Article in IEEE Transactions on Antennas and Propagation

A multiplicative Calderón preconditioner for the electric field integral equation

F.P. AndriulliKristof CoolsH. BagciFemke OlyslagerA. BuffaS. ChristiansenE. Michielssen

A multiplicative Calderón-based preconditioner for the combined field integral equation

H. BagciF.P. AndriulliKristof CoolsFemke OlyslagerE. Michielssen

A multiplicative Calderón-based preconditioner for the coupled surface and volume electric field integral equations

H. BagciF.P. AndriulliKristof CoolsFemke OlyslagerE. Michielssen

Advances in broadband and time-domain fast multipole research

Femke OlyslagerIgnace BogaertKristof CoolsJan FostierJoris PeetersDaniël De Zutter

Creating a design platform for the modeling and optimization of advanced multilayered absorbers

Yoeri AriënIgnace BogaertFemke OlyslagerKristof Cools

MFIEs applied to toroidal structures have spurious solutions

Kristof CoolsF.P. AndriulliFemke OlyslagerE. Michielssen

Nullspace of the static MFIE operator and its effect on the numerical solution of BIE's

Kristof CoolsF.P. AndriulliFemke OlyslagerE. Michielssen

Recent advances in fast multipole methods to simulate ever larger and more complex structures

Femke OlyslagerKristof CoolsIgnace BogaertJan FostierJoris PeetersFP AndriulliE Michielssen

Spectral Properties of Boundary Integral Equations: Analysis and Regularization

Kristof CoolsFemke Olyslager

The dottrick TDEFIE: A DC stable integral equation for analyzing transient scattering from PEC bodies

F.P. AndriulliKristof CoolsFemke OlyslagerE. Michielssen

The fast multipole method in electromagnetics applied to the simulation of metamaterials

Femke OlyslagerLieven MeertKristof Cools

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

2007

A multiplicative Calderón preconditioner for the electric field integral equation

F ANDRIULLIKristof CoolsFemke OlyslagerE MICHIELSSEN

Calderon preconditioned time-domain integral equation solvers

Kristof CoolsFrancesco P. AndriulliFemke OlyslagerEric Michielssen

Caldéron stabilized time domain integral equation solvers

F ANDRIULLIKristof CoolsFemke OlyslagerE MICHIELSSEN

On Calderón techniques in time domain integral equation solvers (invited paper)

Kristof CoolsF ANDRIULLIFemke OlyslagerE MICHIELSSEN

2006

Time-domain Caldéron identities and preconditioning of the time-domain EFIE

Kristof CoolsF ANDRIULLIE MICHIELSSEN

2005

Exact simulation of a piece of metamaterial using MLFMA

Lieven MeertKristof CoolsFemke Olyslager

2004

Application of complex coordinates to the MLFMA

Femke OlyslagerJürgen De ZaeytijdKristof CoolsIgnace BogaertLieven MeertDries Vande GinsteDavy Pissoort

Simulation of meta-materials

Lieven MeertKristof Cools

Simulation of metamaterials

Kristof CoolsLieven MeertsDries Vande GinsteDavy PissoortFemke OlyslagerE MICHIELSSEN