Domain decomposition: parallel multilevel methods for elliptic partial differential equations

Algorithmic modifications to the Jacobi-Davidson parallel eigensolver to dynamically balance external CPU and memory load

ICS '01 Proceedings of the 15th international conference on Supercomputing

Dynamic real-time deformations using space & time adaptive sampling

Proceedings of the 28th annual conference on Computer graphics and interactive techniques

Two-level additive Schwarz preconditioners for the h-p version of the Galerkin boundary element method for 2-d problems

Computing

Exploiting flexibly assignable work to improve load balance

Proceedings of the fourteenth annual ACM symposium on Parallel algorithms and architectures

Stable, globally non-iterative, non-overlapping domain decomposition parallel solvers for parabolic problems

Proceedings of the 2001 ACM/IEEE conference on Supercomputing

A border-based coordination language for integrating task and data parallelism

Journal of Parallel and Distributed Computing

Application of parallel implicit methods to edge-plasma numerical simulations

Journal of Computational Physics

High Performance Computations for Large Scale Simulations of Subsurface Multiphase Fluid and Heat Flow

The Journal of Supercomputing

Parallel two level block ILU Preconditioning techniques for solving large sparse linear systems

Parallel Computing

A simple efficient algorithm for interpolation between different grids in both 2D and 3D

Mathematics and Computers in Simulation

Acceleration of the non-symmetrized two-level iteration

Applied Numerical Mathematics

Multigrid Methods in Science and Engineering

IEEE Computational Science & Engineering

Preconditioning techniques for large linear systems: a survey

Journal of Computational Physics

Overlapping domain decomposition method by radial basis functions

Applied Numerical Mathematics

Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations

Mathematics of Computation

Three parallel programming paradigms: comparisons on an archetypal PDE computation

Progress in computer research

Dynamic Network Information Collectionfor Distributed Scientific Application Adaptation

HiPC '02 Proceedings of the 9th International Conference on High Performance Computing

Parallel High-Performance Computing in Geomechanics with Inner/Outer Iterative Procedures

ICCS '02 Proceedings of the International Conference on Computational Science-Part III

Remote Access and Scheduling for Parallel Applications on Distributed Systems

ICCS '02 Proceedings of the International Conference on Computational Science-Part I

A Parallel Domain Decomposition Algorithm for the Adaptive Finite Element Solution of 3-D Convection-Diffusion Problems

ICCS '02 Proceedings of the International Conference on Computational Science-Part II

ParIC: A Family of Parallel Incomplete Cholesky Preconditioners

HPCN Europe 2000 Proceedings of the 8th International Conference on High-Performance Computing and Networking

Partitioning for Complex Objectives

IPDPS '01 Proceedings of the 15th International Parallel & Distributed Processing Symposium

Partition of Unstructured Finite Element Meshes by a Multilevel Approach

PARA '00 Proceedings of the 5th International Workshop on Applied Parallel Computing, New Paradigms for HPC in Industry and Academia

Domain Decomposition Solvers for Large Scale Industrial Finite Element Problems

PARA '00 Proceedings of the 5th International Workshop on Applied Parallel Computing, New Paradigms for HPC in Industry and Academia

Enabling Numerical and Software Technologies for Studying the Electrical Activity in Human Heart

PARA '02 Proceedings of the 6th International Conference on Applied Parallel Computing Advanced Scientific Computing

A Flexible 2-Level Neumann-Neumann Method for Structural Analysis Problems

PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers

Parallel Displacement Decomposition Solvers for Elasticity Problems

PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers

Parallel Iterative Solvers for Unstructured Grids Using an OpenMP/MPI Hybrid Programming Model for the GeoFEM Platform on SMP Cluster Architectures

ISHPC '02 Proceedings of the 4th International Symposium on High Performance Computing

Parallel Application of a Novel Domain Decomposition Preconditioner for the Stable Finite Element Solution of Three-Dimensional Convection-Dominated PDEs

Euro-Par '01 Proceedings of the 7th International Euro-Par Conference Manchester on Parallel Processing

Parallel Subdomain-Based Preconditioner for the Schur Complement

Euro-Par '99 Proceedings of the 5th International Euro-Par Conference on Parallel Processing

Some Investigations of Domain Decomposition Techniques in Parallel CFD

Euro-Par '99 Proceedings of the 5th International Euro-Par Conference on Parallel Processing

High Level Parallelization of a 3D Electromagnetic Simulation Code with Irregular Communication Patterns

VECPAR '00 Selected Papers and Invited Talks from the 4th International Conference on Vector and Parallel Processing

Non-standard Parallel Solution Strategies for Distributed Sparse Linear Systems

ParNum '99 Proceedings of the 4th International ACPC Conference Including Special Tracks on Parallel Numerics and Parallel Computing in Image Processing, Video Processing, and Multimedia: Parallel Computation

Salinas: a scalable software for high-performance structural and solid mechanics simulations

Proceedings of the 2002 ACM/IEEE conference on Supercomputing

Space decomposition preconditioners and their application in geomechanics

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

Global and uniform convergence of subspace correction methods for some convex optimization problems

Mathematics of Computation

Domain decomposition preconditioning for parallel PDE software

Engineering computational technology

On Overlapping Partitions

ICPP '00 Proceedings of the Proceedings of the 2000 International Conference on Parallel Processing

An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems

Mathematics of Computation

Domain interaction patterns to coordinate HPF tasks

Parallel Computing

Finite elements for elliptic problems with wild coefficients

Computational science, mathematics and software

References

Sourcebook of parallel computing

Domain decomposition algorithms for fourth-order nonlinear elliptic eigenvalue problems

Journal of Computational Physics

On monotone iteration and Schwarz methods for nonlinear parabolic PDEs

Journal of Computational and Applied Mathematics

Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions

Mathematics of Computation

On monotone iterative methods for a nonlinear singularly perturbed reaction-diffusion problem

Journal of Computational and Applied Mathematics

Convergence analysis of additive Schwarz for the Euler equations

Applied Numerical Mathematics

Using the parallel algebraic recursive multilevel solver in modern physical applications

Future Generation Computer Systems - Special issue: Selected numerical algorithms

A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations

Applied Numerical Mathematics - Numerical algorithms, parallelism and applications

A multiscale finite element method for elliptic problems with highly oscillatory coefficients

Applied Numerical Mathematics

Parallel multigrid methods for the calculation of unsteady flows on unstructured grids: algorithmic aspects and parallel performances on clusters of PCs

Parallel Computing

Parallel Iterative Solvers of GeoFEM with Selective Blocking Preconditioning for Nonlinear Contact Problems on the Earth Simulator

Proceedings of the 2003 ACM/IEEE conference on Supercomputing

A Highly Parallel Algorithm for the Numerical Simulation of Unsteady Diffusion Processes

IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Papers - Volume 01

Domain decomposition method for dynamic faulting under slip-dependent friction

Journal of Computational Physics

Two-Level Non-Overlapping Schwarz Preconditioners for a Discontinuous Galerkin Approximation of the Biharmonic Equation

Journal of Scientific Computing

A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays

Journal of Computational Physics

Hybrid Multigrid/Schwarz Algorithms for the Spectral Element Method

Journal of Scientific Computing

Performance Enhancement on Microprocessors with Hierarchical Memory Systems for Solving Large Sparse Linear Systems

International Journal of High Performance Computing Applications

Design of a Library of Parallel Preconditioners

International Journal of High Performance Computing Applications

Globalized Newton-Krylov-Schwarz Algorithms and Software for Parallel Implicit CFD

International Journal of High Performance Computing Applications

Parallel Distributed FFT-Based Solvers for 3-D Poisson Problems in Meso-Scale Atmospheric Simulations

International Journal of High Performance Computing Applications

A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations

Journal of Computational Physics

Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations

Journal of Computational Physics

Three-level hybrid vs. flat MPI on the Earth Simulator: parallel iterative solvers for finite-element method

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

Improving Load Balance with Flexibly Assignable Tasks

IEEE Transactions on Parallel and Distributed Systems

Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the Biharmonic equation

Journal of Scientific Computing

Parallel iterative solvers for finite-element methods using an OpenMP/MPI hybrid programming model on the Earth Simulator

Parallel Computing - OpenMp

Equitable colorings of bounded treewidth graphs

Theoretical Computer Science - Graph colorings

On equitable Δ-coloring of graphs with low average degree

Theoretical Computer Science - Graph colorings

Large scale parallel FEM computations of far/near stress field changes in rocks

Future Generation Computer Systems

Overlapping Schwarz and Spectral Element Methods for Linear Elasticity and Elastic Waves

Journal of Scientific Computing

Domain decomposition methods in image denoising using Gaussian curvature

Journal of Computational and Applied Mathematics

An object-oriented framework for the development of scalable parallel multilevel preconditioners

ACM Transactions on Mathematical Software (TOMS)

Domain decomposition by radial basis functions for time dependent partial differential equations

ACST'06 Proceedings of the 2nd IASTED international conference on Advances in computer science and technology

Deployment of parallel direct sparse linear solvers within a parallel finite element code

PDCN'06 Proceedings of the 24th IASTED international conference on Parallel and distributed computing and networks

Large scale drop impact analysis of mobile phone using ADVC on Blue Gene/L

Proceedings of the 2006 ACM/IEEE conference on Supercomputing

A new compact scheme for parallel computing using domain decomposition

Journal of Computational Physics

A spatial domain decomposition method for parabolic optimal control problems

Journal of Computational and Applied Mathematics

Analysis of a conjugated infinite element method for acoustic scattering

Computers and Structures

Parallel implementation of efficient preconditioned linear solver for grid-based applications in chemical physics: I: Block Jacobi diagonalization

Journal of Computational Physics

Comparison of message-passing and shared memory implementations of the GMRES method on MIMD computers

Scientific Programming

An alternating explicit-implicit domain decomposition method for the parallel solution of parabolic equations

Journal of Computational and Applied Mathematics

3D optical flow computation using a parallel variational multigrid scheme with application to cardiac C-arm CT motion

Image and Vision Computing

Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems

Journal of Computational Physics

On the development of PSBLAS-based parallel two-level Schwarz preconditioners

Applied Numerical Mathematics

An explicit formulation of the multiplicative Schwarz preconditioner

Applied Numerical Mathematics

Algorithm 870: A static geometric Medial Axis domain decomposition in 2D Euclidean space

ACM Transactions on Mathematical Software (TOMS)

Parallel domain decomposition for simulation of large-scale power grids

Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design

On the design of interfaces to sparse direct solvers

ACM Transactions on Mathematical Software (TOMS)

A short proof of the hajnal–szemerédi theorem on equitable colouring

Combinatorics, Probability and Computing

Schwarz method for earthquake source dynamics

Journal of Computational Physics

Schwarz methods for inequalities with contraction operators

Journal of Computational and Applied Mathematics

Displacement decomposition and parallelisation of the PCG method for elasticity problems

International Journal of Computational Science and Engineering

Parallel scalability study of hybrid preconditioners in three dimensions

Parallel Computing

On Hybrid Multigrid-Schwarz Algorithms

Journal of Scientific Computing

Parallel FEM Software for CFD Problems

Informatica

Parallel DEM Software for Simulation of Granular Media

Informatica

Parallel Preconditioning Methods with Selective Fill-Ins and Selective Overlapping for Ill-Conditioned Problems in Finite-Element Methods

ICCS '07 Proceedings of the 7th international conference on Computational Science, Part III: ICCS 2007

Using GPUs to improve multigrid solver performance on a cluster

International Journal of Computational Science and Engineering

Multispace and multilevel BDDC

Computing

Triple-decker: Interfacing atomistic-mesoscopic-continuum flow regimes

Journal of Computational Physics

Parallel preconditioners for large scale partial difference equation systems

Journal of Computational and Applied Mathematics

FWT2D: A massively parallel program for frequency-domain full-waveform tomography of wide-aperture seismic data-Part 2

Computers & Geosciences

Parallel transistor level circuit simulation using domain decomposition methods

Proceedings of the 2009 Asia and South Pacific Design Automation Conference

Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements

Applied Numerical Mathematics

Complex flow simulations in natural aquifer

Advanced Engineering Informatics

A Domain Decomposition Based Parallel Inexact Newton's Method with Subspace Correction for Incompressible Navier-Stokes Equations

ICCS '09 Proceedings of the 9th International Conference on Computational Science: Part I

A parallel Aitken-additive Schwarz waveform relaxation suitable for the grid

Parallel Computing

Performance of a parallel algebraic multilevel preconditioner for stabilized finite element semiconductor device modeling

Journal of Computational Physics

Algebraic multigrid preconditioners for the bidomain reaction--diffusion system

Applied Numerical Mathematics

On dual Schur domain decomposition method for linear first-order transient problems

Journal of Computational Physics

Three-level hybrid vs. flat MPI on the Earth Simulator: Parallel iterative solvers for finite-element method

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

Parallel discrete element simulation of poly-dispersed granular material

Advances in Engineering Software

Co-processor acceleration of an unmodified parallel solid mechanics code with FEASTGPU

International Journal of Computational Science and Engineering

Parallel algorithms for solving linear systems with sparse triangular matrices

Computing

Parallel assembling and equation solving via graph algorithms with an application to the FE simulation of metal extrusion processes

Computers and Structures

One way domain decomposition method with second order transmission conditions for solving electromagnetic wave problems

Journal of Computational Physics

Parallel Poisson Surface Reconstruction

ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I

Large scale parallel FEM computations of far/near stress field changes in rocks

Future Generation Computer Systems

A parallel direct solver for the self-adaptive hp Finite Element Method

Journal of Parallel and Distributed Computing

Analysis of Patch Substructuring Methods

International Journal of Applied Mathematics and Computer Science - Scientific Computation for Fluid Mechanics and Hyperbolic Systems

Distributed gradient-domain processing of planar and spherical images

ACM Transactions on Graphics (TOG)

Hybrid atomistic-continuum method for the simulation of dense fluid flows

Journal of Computational Physics

A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation

Journal of Computational Physics

Parallel coupled thermomechanical simulation using hybrid domain decomposition

ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI

Parallel Schwarz methods for T-M modelling

NMA'06 Proceedings of the 6th international conference on Numerical methods and applications

A framework for integrating network information into distributed iterative solution of sparse linear systems

VECPAR'02 Proceedings of the 5th international conference on High performance computing for computational science

Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media

Journal of Computational and Applied Mathematics

Making hybrid tsunami simulators in a parallel software framework

PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing

MPI and openMP computations for nuclear waste deposition models

PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics

The implementation of BLAS for band matrices

PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics

Using multiple levels of parallelism to enhance the performance of domain decomposition solvers

Parallel Computing

MLD2P4: A Package of Parallel Algebraic Multilevel Domain Decomposition Preconditioners in Fortran 95

ACM Transactions on Mathematical Software (TOMS)

Row scaling as a preconditioner for some nonsymmetric linear systems with discontinuous coefficients

Journal of Computational and Applied Mathematics

Convergence estimates for an higher order optimized Schwarz method for domains with an arbitrary interface

Journal of Computational and Applied Mathematics

Towards large-scale multi-socket, multicore parallel simulations: Performance of an MPI-only semiconductor device simulator

Journal of Computational Physics

Equitable colorings of Kronecker products of graphs

Discrete Applied Mathematics

Parallel transistor level full-chip circuit simulation

Proceedings of the Conference on Design, Automation and Test in Europe

Beowulf performance in CFD multigrid applications

EUROMICRO-PDP'02 Proceedings of the 10th Euromicro conference on Parallel, distributed and network-based processing

An iterative multiscale finite volume algorithm converging to the exact solution

Journal of Computational Physics

A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods

Journal of Scientific Computing

Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere

Journal of Computational Physics

Milestones in the development of iterative solution methods

Journal on Image and Video Processing - Special issue on iterative signal processing in communications

A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere

SIAM Journal on Scientific Computing

The Domain Decomposition Method for Maxwell's Equations in Time Domain Simulations with Dispersive Metallic Media

SIAM Journal on Scientific Computing

Flexible GMRES with Deflated Restarting

SIAM Journal on Scientific Computing

A Block FSAI-ILU Parallel Preconditioner for Symmetric Positive Definite Linear Systems

SIAM Journal on Scientific Computing

Parallel multigrid solvers using OpenMP/MPI hybrid programming models on multi-core/multi-socket clusters

VECPAR'10 Proceedings of the 9th international conference on High performance computing for computational science

On techniques to improve robustness and scalability of a parallel hybrid linear solver

VECPAR'10 Proceedings of the 9th international conference on High performance computing for computational science

Interactive and anisotropic geometry processing using the screened Poisson equation

ACM SIGGRAPH 2011 papers

A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems

Advances in Computational Mathematics

Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear Complementarity Problems

Journal of Scientific Computing

Computation and visualization of discrete particle systems on gLite-based grid

Advances in Engineering Software

Characterizing the impact of soft errors on iterative methods in scientific computing

Proceedings of the international conference on Supercomputing

A new parallel finite element algorithm for the stationary Navier-Stokes equations

Finite Elements in Analysis and Design

Asynchronous integration with phantom meshes

SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation

Schwarz preconditioned CG algorithm for the mortar finite element

Numerical Algorithms

Bounded coloring of co-comparability graphs and the pickup and delivery tour combination problem

Theoretical Computer Science

A hierarchical fracture model for the iterative multiscale finite volume method

Journal of Computational Physics

Implicit Parallel Time Integrators

Journal of Scientific Computing

Stabilization and scalable block preconditioning for the Navier-Stokes equations

Journal of Computational Physics

Equitable colorings of Cartesian products of graphs

Discrete Applied Mathematics

Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology

SIAM Journal on Scientific Computing

Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity

SIAM Journal on Scientific Computing

A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System

SIAM Journal on Numerical Analysis

A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps

SIAM Journal on Scientific Computing

Parallel Multilevel Schwarz and Block Preconditioners for the Bidomain Parabolic-Parabolic and Parabolic-Elliptic Formulations

SIAM Journal on Scientific Computing

Parallel thermo-mechanical modelling for nuclear waste deposition

ISPA'06 Proceedings of the 2006 international conference on Frontiers of High Performance Computing and Networking

Implementing overlapping domain decomposition methods on a virtual parallel machine

ISPA'06 Proceedings of the 2006 international conference on Frontiers of High Performance Computing and Networking

Parallel simulation of t-m processes in underground repository of spent nuclear fuel

EuroPVM/MPI'06 Proceedings of the 13th European PVM/MPI User's Group conference on Recent advances in parallel virtual machine and message passing interface

Parallel schwarz methods: algebraic construction of coarse problems, implementation and testing

PPAM'05 Proceedings of the 6th international conference on Parallel Processing and Applied Mathematics

Parallel solvers for flexible approximation schemes in multiparticle simulation

ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part I

Overlapping restricted additive Schwarz method applied to the linear complementarity problem with an H-matrix

Computational Optimization and Applications

Domain decomposition of stochastic PDEs: a novel preconditioner and its parallel performance

HPCS'09 Proceedings of the 23rd international conference on High Performance Computing Systems and Applications

Domain decomposition methods for PDE constrained optimization problems

VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science

Extending PSBLAS to build parallel schwarz preconditioners

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing

Improving the performance of large-scale unstructured PDE applications

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing

New strategy for coarse grid solvers in parallel multigrid methods using OpenMP/MPI hybrid programming models

Proceedings of the 2012 International Workshop on Programming Models and Applications for Multicores and Manycores

A novel, parallel PDE solver for unstructured grids

LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing

Combining performance aspects of irregular gauss-seidel via sparse tiling

LCPC'02 Proceedings of the 15th international conference on Languages and Compilers for Parallel Computing

On the use of aggregation-based parallel multilevel preconditioners in the LES of wall-bounded turbulent flows

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

Dynamic reconfiguration of scientific components using aspect oriented programming: a case study

ODBASE'06/OTM'06 Proceedings of the 2006 Confederated international conference on On the Move to Meaningful Internet Systems: CoopIS, DOA, GADA, and ODBASE - Volume Part II

A CCA-compliant nuclear power plant simulator kernel

CBSE'05 Proceedings of the 8th international conference on Component-Based Software Engineering

Using SBASCO to solve reaction-diffusion equations in two-dimensional irregular domains

ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II

Singularities and treatments of elliptic boundary value problems

Mathematical and Computer Modelling: An International Journal

Energy stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition

Journal of Computational Physics

An adaptive multiscale method for density-driven instabilities

Journal of Computational Physics

Quantitative control of idealized analysis models of thin designs

Computers and Structures

Every 4-Colorable Graph With Maximum Degree 4 Has an Equitable 4-Coloring

Journal of Graph Theory

Original Article: Adaptive BDDC in three dimensions

Mathematics and Computers in Simulation

Sparse spectral-tau method for the three-dimensional helically reduced wave equation on two-center domains

Journal of Computational Physics

Combined parametric-nonparametric uncertainty quantification using random matrix theory and polynomial chaos expansion

Computers and Structures

Domain decomposition strategies for nonlinear flow problems in porous media

Journal of Computational Physics

Performance analysis of parallel Schwarz preconditioners in the LES of turbulent channel flows

Computers & Mathematics with Applications

Corrigendum: Corrigendum to "Complex flow simulation in natural aquifer" [Adv. Eng. Inform. 23 (2009) 288-293]: An algorithm for parallel flow simulations in the finite element framework

Advanced Engineering Informatics

A parallel adaptive newton-krylov-schwarz method for 3D compressible inviscid flow simulations

Modelling and Simulation in Engineering

Parallel multiscale simulations of a brain aneurysm

Journal of Computational Physics

Scalable domain decomposition preconditioners for heterogeneous elliptic problems

SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis

Evaluation of overlapping restricted additive schwarz preconditioning for parallel solution of very large power flow problems

HiPCNA-PG '13 Proceedings of the 3rd International Workshop on High Performance Computing, Networking and Analytics for the Power Grid

A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell's equation

Journal of Computational Physics

Multiphysics simulations: Challenges and opportunities

International Journal of High Performance Computing Applications

Fast iterative graph computation with block updates

Proceedings of the VLDB Endowment

Adaptive-Multilevel BDDC and its parallel implementation

Computing

Equitable coloring of Kronecker products of complete multipartite graphs and complete graphs

Discrete Applied Mathematics

A domain decomposition method of stochastic PDEs: An iterative solution techniques using a two-level scalable preconditioner

Journal of Computational Physics

A hybrid multigrid method for convection-diffusion problems

Journal of Computational and Applied Mathematics

Algebraic multiscale solver for flow in heterogeneous porous media

Journal of Computational Physics

Domain decomposition based coupling between the lattice Boltzmann method and traditional CFD methods-Part I: Formulation and application to the 2-D Burgers' equation

Advances in Engineering Software

Parallel algebraic domain decomposition solver for the solution of augmented systems

Advances in Engineering Software

Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem

Journal of Computational Physics