Pavel Bochev

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Denis RidzalSandia National LabsVerified email at sandia.gov
Paul KuberrySandia National LaboratoriesVerified email at sandia.gov
Richard LehoucqSandia National LabsVerified email at sandia.gov
Kara PetersonSandia National LaboratoriesVerified email at sandia.gov
Michael L. ParksOak Ridge National LaboratoryVerified email at ornl.gov
mauro peregoSandia National LaboratoriesVerified email at sandia.gov
Mikhail J. ShashkovLos Alamos National Lab, X-Computational PhysicsVerified email at lanl.gov
Nathaniel TraskUniversity of PennsylvaniaVerified email at seas.upenn.edu
Marta D'EliaAdjunct Professor, StanfordVerified email at stanford.edu
Guglielmo ScovazziDuke University, Civil & Environmental Engineering, Mechanical Engineering & Material ScienceVerified email at duke.edu
Santiago BadiaDistinguished Professor of Computational Mathematics, Monash UniversityVerified email at monash.edu
John N. ShadidSandia National Labs, Computational Mathematics Dept.; Univ. of New Mexico, Mathematics Dept.Verified email at sandia.gov
Clark DohrmannSandia National LaboratoriesVerified email at sandia.gov
Allen C. RobinsonDistinguished Member of the Technical Staff, Sandia National LaboratoriesVerified email at sandia.gov
Thomas JR HughesPeter O'Donnell Jr. Chair in Computational and Applied Mathematics, University of Texas at AustinVerified email at ices.utexas.edu
David LittlewoodSandia National LaboratoriesVerified email at sandia.gov
Mitchell LuskinProfessor of Mathematics, University of MinnesotaVerified email at umn.edu
Alexander ShapeevSkolkovo Institute of Science and TechnologyVerified email at shapeev.com
Stephen F. MccormickUniversity of ColoradoVerified email at colorado.edu
Thomas A. ManteuffelProfessor Applied Mathematics, University of ColoradoVerified email at colorado.edu

Pavel Bochev

Distinguished Member of technical Staff, Sandia National Laboratories

Verified email at sandia.gov

numerical analysis finite element methods multiscale mathematics applied mathematics software design


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Least-squares finite element methods PB Bochev, MD Gunzburger Springer Science & Business Media, 2009	686	2009
Stabilization of low-order mixed finite elements for the Stokes equations PB Bochev, CR Dohrmann, MD Gunzburger SIAM Journal on Numerical Analysis 44 (1), 82-101, 2006	536	2006
A stabilized finite element method for the Stokes problem based on polynomial pressure projections CR Dohrmann, PB Bochev International Journal for Numerical Methods in Fluids 46 (2), 183-201, 2004	425	2004
Finite element methods of least-squares type PB Bochev, MD Gunzburger SIAM review 40 (4), 789-837, 1998	411	1998
Principles of mimetic discretizations of differential operators PB Bochev, JM Hyman Compatible spatial discretizations, 89-119, 2006	309	2006
On the finite element solution of the pure Neumann problem P Bochev, RB Lehoucq SIAM review 47 (1), 50-66, 2005	260	2005
Analysis of least squares finite element methods for the Stokes equations PB Bochev, MD Gunzburger Mathematics of Computation 63 (208), 479-506, 1994	206	1994
A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method TJR Hughes, G Scovazzi, PB Bochev, A Buffa Computer Methods in Applied Mechanics and Engineering 195 (19-22), 2761-2787, 2006	171	2006
Stability of the SUPG finite element method for transient advection–diffusion problems PB Bochev, MD Gunzburger, JN Shadid Computer methods in applied mechanics and engineering 193 (23-26), 2301-2323, 2004	144	2004
Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I P Bochev, Z Cai, TA Manteuffel, SF McCormick SIAM Journal on Numerical Analysis 35 (3), 990-1009, 1998	133	1998
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	126	2008
A taxonomy of consistently stabilized finite element methods for the Stokes problem T Barth, P Bochev, M Gunzburger, J Shadid SIAM Journal on Scientific Computing 25 (5), 1585-1607, 2004	126	2004
Analysis of least-squares finite element methods for the Navier--Stokes equations PB Bochev SIAM Journal on Numerical Analysis 34 (5), 1817-1844, 1997	125	1997
Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations PB Bochev, MD Gunzburger Computer Methods in Applied Mechanics and Engineering 126 (3-4), 267-287, 1995	117	1995
An improved algebraic multigrid method for solving Maxwell's equations PB Bochev, CJ Garasi, JJ Hu, AC Robinson, RS Tuminaro SIAM Journal on Scientific Computing 25 (2), 623-642, 2003	108	2003
A force-based blending model foratomistic-to-continuum coupling S Badia, P Bochev, R Lehoucq, M Parks, J Fish, MA Nuggehally, ... International Journal for Multiscale Computational Engineering 5 (5), 2007	101	2007
On stabilized finite element methods for the Stokes problem in the small time step limit PB Bochev, MD Gunzburger, RB Lehoucq International Journal for Numerical Methods in Fluids 53 (4), 573-597, 2007	96	2007
A Computational Study of Stabilized, Low-order C ⁰ Finite Element Approximations of Darcy Equations PB Bochev, CR Dohrmann Computational Mechanics 38, 323-333, 2006	95	2006
An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations P Bochev, M Gunzburger SIAM Journal on Numerical Analysis 42 (3), 1189-1207, 2004	93	2004
Accuracy of least-squares methods for the Navier-Stokes equations PB Bochev, MD Gunzburger Computers & fluids 22 (4-5), 549-563, 1993	92	1993

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