Martin J. Gander

Xueshuang Xiang

SIAM J. Sci. Comput., 2021

Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models.

[BibT_eX]

[DOI]

Julian Hennicker

Roland Masson

SIAM J. Numer. Anal., 2021

ParaStieltjes: Parallel computation of Gauss quadrature rules using a Parareal-like approach for the Stieltjes procedure.

[BibT_eX]

[DOI]

Thibaut Lunet

Numer. Linear Algebra Appl., 2021

Optimized Schwarz Methods with Elliptical Domain Decompositions.

[BibT_eX]

[DOI]

Xin Chen

J. Sci. Comput., 2021

On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method.

[BibT_eX]

[DOI]

CoRR, 2021

A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem.

[BibT_eX]

[DOI]

CoRR, 2021

Localized Reduced Basis Additive Schwarz Methods.

[BibT_eX]

[DOI]

Stephan Rave

CoRR, 2021

A numerical algorithm based on probing to find optimized transmission conditions.

[BibT_eX]

[DOI]

Roland Masson

Tommaso Vanzan

CoRR, 2021

Optimizing transmission conditions for multiple subdomains in the Magnetotelluric Approximation of Maxwell's equations.

[BibT_eX]

[DOI]

Victorita Dolean

Alexandros Kyriakis

CoRR, 2021

Should multilevel methods for discontinuous Galerkin discretizations use discontinuous interpolation operators?

[BibT_eX]

[DOI]

José Pablo Lucero Lorca

Martin Jakob Gander

CoRR, 2021

2020

Multilevel Optimized Schwarz Methods.

[BibT_eX]

[DOI]

Tommaso Vanzan

SIAM J. Sci. Comput., 2020

A Continuous Analysis of Neumann-Neumann Methods: Scalability and New Coarse Spaces.

[BibT_eX]

[DOI]

Faycal Chaouqui

Kévin Santugini-Repiquet

SIAM J. Sci. Comput., 2020

Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves.

[BibT_eX]

[DOI]

R. Brunet

Victorita Dolean

SIAM J. Sci. Comput., 2020

A Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation Problems.

[BibT_eX]

[DOI]

Shu-Lin Wu

SIAM J. Numer. Anal., 2020

Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits.

[BibT_eX]

[DOI]

Pratik M. Kumbhar

J. Sci. Comput., 2020

ParaDIAG: Parallel-in-Time Algorithms Based on the Diagonalization Technique.

[BibT_eX]

[DOI]

CoRR, 2020

Optimization of two-level methods for DG discretizations of reaction-diffusion equations.

[BibT_eX]

[DOI]

José Pablo Lucero Lorca

CoRR, 2020

2019

Heterogeneous Optimized Schwarz Methods for Second Order Elliptic PDEs.

[BibT_eX]

[DOI]

Tommaso Vanzan

SIAM J. Sci. Comput., 2019

A New Parareal Algorithm for Problems with Discontinuous Sources.

[BibT_eX]

[DOI]

Iryna Kulchytska-Ruchka

Innocent Niyonzima

Sebastian Schöps

SIAM J. Sci. Comput., 2019

A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm.

[BibT_eX]

[DOI]

Yao-Lin Jiang

Bo Song

SIAM J. Sci. Comput., 2019

A Direct Time Parallel Solver by Diagonalization for the Wave Equation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2019

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods.

[BibT_eX]

[DOI]

SIAM Rev., 2019

Convergence analysis of a <i>periodic-like</i> waveform relaxation method for initial-value problems via the diagonalization technique.

[BibT_eX]

[DOI]

Shu-Lin Wu

Numerische Mathematik, 2019

PARAOPT: A parareal algorithm for optimality systems.

[BibT_eX]

[DOI]

Julien Salomon

CoRR, 2019

2018

Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-sized Subdomains: Part II.

[BibT_eX]

[DOI]

Gabriele Ciaramella

SIAM J. Numer. Anal., 2018

Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization: The many-subdomain case.

[BibT_eX]

[DOI]

Soheil Hajian

Math. Comput., 2018

Multiscale analysis of heterogeneous domain decomposition methods for time-dependent advection-reaction-diffusion problems.

[BibT_eX]

[DOI]

Véronique Martin

J. Comput. Appl. Math., 2018

Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT.

[BibT_eX]

[DOI]

Comput. Vis. Sci., 2018

2017

How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid?

[BibT_eX]

[DOI]

Pierre-Henri Cocquet

SIAM J. Sci. Comput., 2017

Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I.

[BibT_eX]

[DOI]

Gabriele Ciaramella

SIAM J. Numer. Anal., 2017

Optimized Schwarz methods with nonoverlapping circular domain decomposition.

[BibT_eX]

[DOI]

Math. Comput., 2017

2016

Optimized Schwarz Methods with Overlap for the Helmholtz Equation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

Optimized Schwarz Methods for Model Problems with Continuously Variable Coefficients.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems.

[BibT_eX]

[DOI]

Martin Neumüller

SIAM J. Sci. Comput., 2016

Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

A new algorithm based on factorization for heterogeneous domain decomposition.

[BibT_eX]

[DOI]

Véronique Martin

Numer. Algorithms, 2016

A Numerical Study on the Compressibility of Subblocks of Schur Complement Matrices Obtained from Discretized Helmholtz Equations.

[BibT_eX]

[DOI]

Sergey Solovyev

Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

2015

B-Methods for the Numerical Solution of Evolution Problems with Blow-Up Solutions Part I: Variation of the Constant.

[BibT_eX]

[DOI]

Mélanie Beck

SIAM J. Sci. Comput., 2015

Analysis of Schwarz Methods for a Hybridizable Discontinuous Galerkin Discretization.

[BibT_eX]

[DOI]

Soheil Hajian

SIAM J. Numer. Anal., 2015

Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed?

[BibT_eX]

[DOI]

Ivan G. Graham

Euan A. Spence

Numerische Mathematik, 2015

Optimized Schwarz methods for a diffusion problem with discontinuous coefficient.

[BibT_eX]

[DOI]

Olivier Dubois

Numer. Algorithms, 2015

Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

2014

Optimized Schwarz Methods for Circular Domain Decompositions with Overlap.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

Optimization of Transmission Conditions in Waveform Relaxation Techniques for RC Circuits.

[BibT_eX]

[DOI]

Mohammad Al-Khaleel

SIAM J. Numer. Anal., 2014

Analysis for parareal algorithms applied to Hamiltonian differential equations.

[BibT_eX]

[DOI]

Ernst Hairer

J. Comput. Appl. Math., 2014

2013

Domain Decomposition Methods for the Helmholtz Equation: A Numerical Investigation.

[BibT_eX]

[DOI]

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

An Asymptotic Approach to Compare Coupling Mechanisms for Different Partial Differential Equations.

[BibT_eX]

[DOI]

Véronique Martin

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

On the Applicability of Lions' Energy Estimates in the Analysis of Discrete Optimized Schwarz Methods with Cross Points.

[BibT_eX]

[DOI]

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Parareal Schwarz Waveform Relaxation Methods.

[BibT_eX]

[DOI]

Yao-Lin Jiang

Rong-Jian Li

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Non Shape Regular Domain Decompositions: An Analysis Using a Stable Decomposition in.

[BibT_eX]

[DOI]

Kévin Santugini-Repiquet

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Alternating and Linearized Alternating Schwarz Methods for Equidistributing Grids.

[BibT_eX]

[DOI]

Ronald D. Haynes

Alexander J. M. Howse

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Techniques for Locally Adaptive Time Stepping Developed over the Last Two Decades.

[BibT_eX]

[DOI]

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Time Domain Maxwell Equations Solved with Schwarz Waveform Relaxation Methods.

[BibT_eX]

[DOI]

Yves Courvoisier

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Comparison of a One and Two Parameter Family of Transmission Conditions for Maxwell's Equations with Damping.

[BibT_eX]

[DOI]

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Algorithm 932: PANG: Software for nonmatching grid projections in 2D and 3D with linear complexity.

[BibT_eX]

[DOI]

Caroline Japhet

ACM Trans. Math. Softw., 2013

Analysis of Two Parareal Algorithms for Time-Periodic Problems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2013

PARAEXP: A Parallel Integrator for Linear Initial-Value Problems.

[BibT_eX]

[DOI]

Stefan Güttel

SIAM J. Sci. Comput., 2013

Derivation of the Isotropic Diffusion Source Approximation (IDSA) for Supernova Neutrino Transport by Asymptotic Expansions.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2013

Optimization of Schwarz waveform relaxation over short time windows.

[BibT_eX]

[DOI]

Yves Courvoisier

Numer. Algorithms, 2013

Traffic Prediction Based on a Local Exchange of Information.

[BibT_eX]

[DOI]

J. Cell. Autom., 2013

2012

Best Robin Parameters for Optimized Schwarz Methods at Cross Points.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2012

The Optimized Schwarz Method with a Coarse Grid Correction.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2012

Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2012

From Euler, Ritz, and Galerkin to Modern Computing.

[BibT_eX]

[DOI]

Gerhard Wanner

SIAM Rev., 2012

Chladni Figures and the Tacoma Bridge: Motivating PDE Eigenvalue Problems via Vibrating Plates.

[BibT_eX]

[DOI]

SIAM Rev., 2012

Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle.

[BibT_eX]

[DOI]

Ronald D. Haynes

SIAM J. Numer. Anal., 2012

An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains.

[BibT_eX]

[DOI]

Sébastien Loisel

Daniel B. Szyld

SIAM J. Matrix Anal. Appl., 2012

Decentralized Method for Traffic Monitoring.

[BibT_eX]

[DOI]

Proceedings of the Cellular Automata, 2012

2011

Introduction.

[BibT_eX]

[DOI]

Proceedings of the Euro-Par 2011 Parallel Processing - 17th International Conference, 2011

2010

Corrections to Optimized Waveform Relaxation Methods for Longitudinal Partitioning of Transmission Lines [Aug 09 1732-1743].

[BibT_eX]

[DOI]

Mohammad Al-Khaleel

IEEE Trans. Circuits Syst. I Regul. Pap., 2010

Optimized Domain Decomposition Methods for the Spherical Laplacian.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2010

Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2010

2009

Optimized Waveform Relaxation Methods for Longitudinal Partitioning of Transmission Lines.

[BibT_eX]

[DOI]

Mohammad Al-Khaleel

IEEE Trans. Circuits Syst. I Regul. Pap., 2009

Optimized Schwarz Methods for Maxwell's Equations.

[BibT_eX]

[DOI]

Victorita Dolean

Luca Gerardo-Giorda

SIAM J. Sci. Comput., 2009

A homographic best approximation problem with application to optimized Schwarz waveform relaxation.

[BibT_eX]

[DOI]

Daniel Bennequin

Math. Comput., 2009

2007

Optimized Multiplicative, Additive, and Restricted Additive Schwarz Preconditioning.

[BibT_eX]

[DOI]

Amik St.-Cyr

Stephen J. Thomas

SIAM J. Sci. Comput., 2007

Analysis of the Parareal Time-Parallel Time-Integration Method.

[BibT_eX]

[DOI]

Stefan Vandewalle

SIAM J. Sci. Comput., 2007

Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2007

Analysis of Patch Substructuring Methods.

[BibT_eX]

[DOI]

Int. J. Appl. Math. Comput. Sci., 2007

2006

Optimized Schwarz Methods.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2006

2005

Overlapping Schwarz Waveform Relaxation for Convection-Dominated Nonlinear Conservation Laws.

[BibT_eX]

[DOI]

Christian Rohde

SIAM J. Sci. Comput., 2005

Asymptotic properties of the <i>QR</i> factorization of banded Hessenberg-Toeplitz matrices.

[BibT_eX]

[DOI]

Xiao-Wen Chang

Samir Karaa

Numer. Linear Algebra Appl., 2005

Absorbing boundary conditions for the wave equation and parallel computing.

[BibT_eX]

[DOI]

Math. Comput., 2005

2004

Optimized waveform relaxation methods for RC type circuits.

[BibT_eX]

[DOI]

IEEE Trans. Circuits Syst. I Regul. Pap., 2004

2003

Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation.

[BibT_eX]

[DOI]

Frédéric Nataf

SIAM J. Numer. Anal., 2003

2002

Optimized Schwarz Methods without Overlap for the Helmholtz Equation.

[BibT_eX]

[DOI]

Frédéric Magoulès

Frédéric Nataf

SIAM J. Sci. Comput., 2002

2000

AILU: a preconditioner based on the analytic factorization of the elliptic operator.

[BibT_eX]

[DOI]

Frédéric Nataf

Numer. Linear Algebra Appl., 2000

1999

A waveform relaxation algorithm with overlapping splitting for reaction diffusion equations.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 1999

1998

Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation.

[BibT_eX]

[DOI]

Andrew M. Stuart

SIAM J. Sci. Comput., 1998

Classroom Note: Note on the Optimal Intercept Time of Vessels to a Nonzero Range.

[BibT_eX]

[DOI]

SIAM Rev., 1998

Circular Billiard.

[BibT_eX]

[DOI]

Michael Drexler