Richard Lehoucq

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Danny SorensenRice UniversityVerified email at rice.edu
Stewart SillingSandia National LaboratoriesVerified email at sandia.gov
Andrew G. SalingerSandia National LaboratoriesVerified email at sandia.gov
Pavel BochevDistinguished Member of technical Staff, Sandia National LaboratoriesVerified email at sandia.gov
Qiang DuFu Foundation Professor of Applied Mathematics, Columbia UniversityVerified email at columbia.edu
Heidi K ThornquistSandia National LaboratoriesVerified email at sandia.gov
Michael HerouxSenior Research Scientist, ParaTools, Inc.; St John’s UniversityVerified email at acm.org
Ulrich Hetmaniuk-Verified email at shiftinvert.com
Tamara G. KoldaMathSci.ai (independent consulting)Verified email at mathsci.ai
Eric PhippsSandia National LaboratoriesVerified email at sandia.gov
Daniel Z. TurnerSandia National LaboratoriesVerified email at sandia.gov
Santiago BadiaDistinguished Professor of Computational Mathematics, Monash UniversityVerified email at monash.edu
Steve PlimptonSandia National LaboratoriesVerified email at sandia.gov
James B AimoneSandia National LaboratoriesVerified email at sandia.gov
Marta D'EliaAdjunct Professor, StanfordVerified email at stanford.edu
Christopher G BakerPrincipal Engineer, AWSVerified email at cgbaker.net
John N. ShadidSandia National Labs, Computational Mathematics Dept.; Univ. of New Mexico, Mathematics Dept.Verified email at sandia.gov
Mark MeerschaertMichigan State UniversityVerified email at stt.msu.edu
Pablo SelesonResearch Scientist, Oak Ridge National LaboratoryVerified email at ornl.gov
Florin Bobaru, ProfessorUniversity of Nebraska-LincolnVerified email at unl.edu

Richard Lehoucq

Sandia National Labs

Verified email at sandia.gov - Homepage

Applied Mathematics


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ARPACK users' guide: solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods RB Lehoucq, DC Sorensen, C Yang Society for Industrial and Applied Mathematics, 1998	4268	1998
An overview of the Trilinos project MA Heroux, RA Bartlett, VE Howle, RJ Hoekstra, JJ Hu, TG Kolda, ... ACM Transactions on Mathematical Software (TOMS) 31 (3), 397-423, 2005	1916	2005
Peridynamic theory of solid mechanics SA Silling, RB Lehoucq Advances in applied mechanics 44, 73-168, 2010	993	2010
Deflation techniques for an implicitly restarted Arnoldi iteration RB Lehoucq, DC Sorensen SIAM Journal on Matrix Analysis and Applications 17 (4), 789-821, 1996	911	1996
Analysis and approximation of nonlocal diffusion problems with volume constraints Q Du, M Gunzburger, RB Lehoucq, K Zhou SIAM review 54 (4), 667-696, 2012	717	2012
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws Q Du, M Gunzburger, RB Lehoucq, K Zhou Mathematical Models and Methods in Applied Sciences 23 (03), 493-540, 2013	532	2013
Convergence of peridynamics to classical elasticity theory SA Silling, RB Lehoucq Journal of Elasticity 93, 13-37, 2008	515	2008
Implementing peridynamics within a molecular dynamics code ML Parks, RB Lehoucq, SJ Plimpton, SA Silling Computer Physics Communications 179 (11), 777-783, 2008	369	2008
Peridynamics for multiscale materials modeling E Askari, F Bobaru, RB Lehoucq, ML Parks, SA Silling, O Weckner Journal of Physics: Conference Series 125 (1), 012078, 2008	335	2008
An automated multilevel substructuring method for eigenspace computation in linear elastodynamics JK Bennighof, RB Lehoucq SIAM Journal on Scientific Computing 25 (6), 2084-2106, 2004	292	2004
On the finite element solution of the pure Neumann problem P Bochev, RB Lehoucq SIAM review 47 (1), 50-66, 2005	256	2005
A nonlocal vector calculus with application to nonlocal boundary value problems M Gunzburger, RB Lehoucq Multiscale Modeling & Simulation 8 (5), 1581-1598, 2010	246	2010
Peridynamics as an upscaling of molecular dynamics P Seleson, ML Parks, M Gunzburger, RB Lehoucq Multiscale Modeling & Simulation 8 (1), 204-227, 2009	227	2009
Force flux and the peridynamic stress tensor RB Lehoucq, SA Silling Journal of the Mechanics and Physics of Solids 56 (4), 1566-1577, 2008	198	2008
Implicitly restarted Arnoldi methods and subspace iteration RB Lehoucq SIAM Journal on Matrix Analysis and Applications 23 (2), 551-562, 2001	172	2001
Analysis and implementation of an implicitly restarted Arnoldi iteration RB Lehoucq Rice University, 1995	156	1995
A Comparison of Eigensolvers for Large-scale 3D Modal Analysis using AMG-Preconditioned Iterative Methods P Arbenz, UL Hetmaniuk, RB Lehoucq, RS Tuminaro International Journal for Numerical Methods in Engineering 1, 1-21, 2005	149	2005
Anasazi software for the numerical solution of large-scale eigenvalue problems CG Baker, UL Hetmaniuk, RB Lehoucq, HK Thornquist ACM Transactions on Mathematical Software (TOMS) 36 (3), 1-23, 2009	137	2009
Analysis of the volume-constrained peridynamic Navier equation of linear elasticity Q Du, M Gunzburger, RB Lehoucq, K Zhou Journal of Elasticity 113, 193-217, 2013	129	2013
On atomistic-to-continuum coupling by blending S Badia, M Parks, P Bochev, M Gunzburger, R Lehoucq Multiscale Modeling & Simulation 7 (1), 381-406, 2008	125	2008

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