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## Bochev, Pavel B.

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 Author ID: bochev.pavel-b Published as: Bochev, P.; Bochev, P. B.; Bochev, Pavel; Bochev, Pavel B.
 Documents Indexed: 103 Publications since 1987, including 2 Books
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#### Co-Authors

 10 single-authored 28 Gunzburger, Max D. 14 Ridzal, Denis 13 Peterson, Kara J. 10 Perego, Mauro 9 Lehoucq, Richard B. 5 Kuberry, Paul Allen 5 Parks, Michael L. 5 Shashkov, Mikhail J. 5 Siefert, Christopher M. 4 D’Elia, Marta 4 Hu, Jonathan J. 4 Trask, Nathaniel 4 Tuminaro, Raymond S. 3 Badia, Santiago 3 Dohrmann, Clark R. 3 Kramer, Richard M. J. 3 Luskin, Mitchell 3 Olson, Derek 3 Robinson, Allen C. 3 Scovazzi, Guglielmo 3 Shadid, John N. 3 Shapeev, Alexander V. 2 Cheung, James 2 Choi, Jungmin 2 Day, David M. 2 Garasi, Christopher J. 2 Gerritsma, Marc I. 2 Hughes, Thomas J. R. 2 Manteuffel, Thomas A. 2 McCormick, Steve Fahrney 2 Voth, Thomas E. 2 Young, Joseph P. 1 Arnold, Douglas Norman 1 Barth, Teri L. 1 Bedivan, Dana M. 1 Buffa, Annalisa 1 Cai, Zhiqiang 1 Capodaglio, Giacomo 1 dela Pena, Gary 1 Demkowicz, Leszek F. 1 Frischknecht, Amalie L. 1 Gao, Xujiao 1 Gerristma, Marc 1 Gopalakrishnan, Jay 1 Hong, Brian D. 1 Hyman, James M. 1 Kim, Sangdong 1 Lai, Jianhuang 1 Liao, Guojun 1 Littlewood, David J. 1 Markov, Svetoslav Marinovich 1 Nicolaides, Roy A. 1 Olson, Luke N. 1 Phillips, Edward G. 1 Romero, Louis A. 1 Scovel, Clint 1 Shin, Byeong Chun 1 Sockwell, K. Chad 1 Trask, Nat 1 Voth, Tom 1 Young, Joseph G.
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#### Serials

 12 SIAM Journal on Numerical Analysis 9 Computers & Mathematics with Applications 9 Computer Methods in Applied Mechanics and Engineering 7 Journal of Computational Physics 6 SIAM Journal on Scientific Computing 3 International Journal for Numerical Methods in Fluids 3 Numerical Methods for Partial Differential Equations 3 ETNA. Electronic Transactions on Numerical Analysis 2 Computers and Fluids 2 Mathematics of Computation 2 Computing 2 SIAM Review 2 International Journal of Computational Fluid Dynamics 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 International Journal of Numerical Analysis and Modeling 2 Results in Applied Mathematics 1 BIT 1 Journal of Computational and Applied Mathematics 1 Computational Mechanics 1 Applied Mathematics Letters 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Zapiski Nauchnykh Seminarov POMI 1 Communications in Numerical Methods in Engineering 1 Methods and Applications of Analysis 1 Central European Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Applied Mathematical Sciences 1 The IMA Volumes in Mathematics and its Applications 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 81 Numerical analysis (65-XX) 38 Fluid mechanics (76-XX) 28 Partial differential equations (35-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

77 Publications have been cited 1,515 times in 981 Documents Cited by Year
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
2006
Least-squares finite element methods. Zbl 1168.65067
Bochev, Pavel B.; Gunzburger, Max D.
2009
Finite element methods of least-squares type. Zbl 0914.65108
Bochev, Pavel B.; Gunzburger, Max D.
1998
A stabilized finite element method for the Stokes problem based on polynomial pressure projections. Zbl 1060.76569
Dohrmann, Clark R.; Bochev, Pavel B.
2004
Principles of mimetic discretizations of differential operators. Zbl 1110.65103
Bochev, Pavel B.; Hyman, James M.
2006
On the finite element solution of the pure Neumann problem. Zbl 1084.65111
Bochev, Pavel; Lehoucq, R. B.
2005
Analysis of least squares finite element methods for the Stokes equations. Zbl 0816.65082
Bochev, Pavel B.; Gunzburger, Max D.
1994
A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method. Zbl 1124.76027
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Bochev, Pavel B.; Buffa, Annalisa
2006
Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations. I. Zbl 0910.76032
Bochev, P.; Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
1998
Analysis of least-squares finite element methods for the Navier-Stokes equations. Zbl 0901.76030
Bochev, Pavel B.
1997
Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations. Zbl 1067.76562
Bochev, Pavel B.; Gunzburger, Max D.
1995
A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307
Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John
2004
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
2008
Accuracy of least-squares methods for the Navier–Stokes equations. Zbl 0779.76039
Bochev, Pavel B.; Gunzburger, Max D.
1993
On stabilized finite element methods for the Stokes problem in the small time step limit. Zbl 1104.76059
Bochev, Pavel B.; Gunzburger, Max D.; Lehoucq, Richard B.
2007
An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations. Zbl 1159.76346
Bochev, Pavel; Gunzburger, Max
2004
A computational study of stabilized, low-order $$C^{0}$$ finite element approximations of Darcy equations. Zbl 1177.76191
Bochev, Pavel B.; Dohrmann, Clark R.
2006
Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563
Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N.
2004
Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. Zbl 1349.65054
Bochev, Pavel; Ridzal, Denis; Shashkov, Mikhail
2013
Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044
Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F.
1999
Toward an $$h$$-independent algebraic multigrid method for Maxwell’s equations. Zbl 1136.76341
Hu, Jonathan J.; Tuminaro, Raymond S.; Bochev, Pavel B.; Garasi, Christopher J.; Robinson, Allen C.
2006
On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577
Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N.
2004
Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343
Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B.
2008
On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles. Zbl 1128.76031
Bochev, Pavel; Gunzburger, Max
2005
Analysis and computation of adaptive moving grids by deformation. Zbl 0856.65109
Bochev, Pavel; Liao, Guojun; dela Pena, Gary
1996
A locally conservative least-squares method for Darcy flows. Zbl 1191.76066
Bochev, P. B.; Gunzburger, M. D.
2008
An improved algebraic multigrid method for solving Maxwell’s equations. Zbl 1163.76337
Bochev, Pavel B.; Garasi, Christopher J.; Hu, Jonathan J.; Robinson, Allen C.; Tuminaro, Raymond S.
2003
A multiscale discontinuous Galerkin method. Zbl 1142.65442
Bochev, Pavel; Hughes, Thomas J. R.; Scovazzi, Guglielmo
2006
Negative norm least-squares methods for the velocity-vorticity-pressure Navier-Stokes equations. Zbl 0921.76102
Bochev, Pavel B.
1999
Regularization and stabilization of discrete saddle-point variational problems. Zbl 1112.65118
Bochev, P. B.; Lehoucq, R. B.
2006
Least-squares finite element methods. Zbl 1100.65098
Bochev, Pavel; Gunzburger, Max
2006
An optimization-based atomistic-to-continuum coupling method. Zbl 1306.65220
Olson, Derek; Bochev, Pavel B.; Luskin, Mitchell; Shapeev, Alexander V.
2014
On quadratic invariants and symplectic structure. Zbl 0813.65102
Bochev, P. B.; Scovel, C.
1994
A high-order staggered meshless method for elliptic problems. Zbl 1365.65264
Trask, Nathaniel; Perego, Mauro; Bochev, Pavel
2017
A locally conservative, discontinuous least-squares finite element method for the Stokes equations. Zbl 1342.76072
Bochev, Pavel; Lai, James; Olson, Luke
2012
Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. Zbl 1097.65003
Arnold, Douglas N. (ed.); Bochev, Pavel B. (ed.); Lehoucq, Richard B. (ed.); Nicolaides, Roy A. (ed.); Shashkov, Mikhail (ed.)
2006
Least-squares finite-element methods for optimization and control problems for the Stokes equations. Zbl 1142.76409
Bochev, P.; Gunzburger, M. D.
2004
Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations. Zbl 1351.90126
Bochev, Pavel; Ridzal, Denis; Peterson, Kara
2014
Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. Zbl 1416.65496
Bochev, Pavel; Ridzal, Denis; Scovazzi, Guglielmo; Shashkov, Mikhail
2011
Rehabilitation of the lowest-order Raviart-Thomas element on quadrilateral grids. Zbl 1190.65169
Bochev, Pavel B.; Ridzal, Denis
2009
Improved least-squares error estimates for scalar hyperbolic problems. Zbl 0979.65079
Bochev, P. B.; Choi, J.
2001
An algebraic multigrid approach based on a compatible gauge reformulation of Maxwell’s equations. Zbl 1184.78007
Bochev, Pavel B.; Hu, Jonathan J.; Siefert, Christopher M.; Tuminaro, Raymond S.
2008
A least-squares finite element method for the Navier-Stokes equations. Zbl 0770.76035
Bochev, Pavel B.; Gunzburger, Max D.
1993
Constrained interpolation (remap) of divergence-free fields. Zbl 1143.65389
Bochev, Pavel; Shashkov, Mikhail
2005
A spectral mimetic least-squares method. Zbl 1364.35137
Bochev, Pavel; Gerritsma, Marc
2014
An optimization-based approach for the design of PDE solution algorithms. Zbl 1203.65097
Bochev, Pavel B.; Ridzal, Denis
2009
Least-squares finite element methods for optimality systems arising in optimization and control problems. Zbl 1112.65062
Bochev, Pavel; Gunzburger, Max D.
2006
Towards robust 3D $$Z$$-pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors. Zbl 1201.76041
Bochev, Pavel B.; Hu, Jonathan J.; Robinson, Allen C.; Tuminaro, Raymond S.
2003
Analysis of an optimization-based atomistic-to-continuum coupling method for point defects. Zbl 1353.82022
Olson, Derek; Shapeev, Alexander V.; Bochev, Pavel B.; Luskin, Mitchell
2016
A new control volume finite element method for the stable and accurate solution of the drift-diffusion equations on general unstructured grids. Zbl 1297.65101
Bochev, Pavel; Peterson, Kara; Gao, Xujiao
2013
An extended finite element method with algebraic constraints (XFEM-AC) for problems with weak discontinuities. Zbl 1286.65163
Kramer, Richard; Bochev, Pavel; Siefert, Christopher; Voth, Tom
2013
Energy principles and finite element methods for pure traction linear elasticity. Zbl 1283.65106
Bochev, Pavel; Lehoucq
2011
Analysis and computation of compatible least-squares methods for div-curl equations. Zbl 1229.65207
Bochev, Pavel B.; Peterson, Kara; Siefert, Christopher M.
2011
A locally conservative mimetic least-squares finite element method for the Stokes equations. Zbl 1280.76016
Bochev, Pavel; Gunzburger, Max
2010
Analysis and computation of a least-squares method for consistent mesh tying. Zbl 1154.65088
Day, David; Bochev, Pavel
2008
A novel Lagrange-multiplier based method for consistent mesh tying. Zbl 1173.65362
Parks, M. L.; Romero, L.; Bochev, P.
2007
A self-validating numerical method for the matrix exponential. Zbl 0685.65035
Bochev, Pavel; Markov, Svetoslav
1989
Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries. Zbl 1417.65186
Cheung, James; Perego, Mauro; Bochev, Pavel; Gunzburger, Max
2019
An optimization-based approach for elliptic problems with interfaces. Zbl 06799810
Kuberry, Paul; Bochev, Pavel; Peterson, Kara
2017
Optimization-based mesh correction with volume and convexity constraints. Zbl 1349.65420
D’Elia, Marta; Ridzal, Denis; Peterson, Kara J.; Bochev, Pavel; Shashkov, Mikhail
2016
A comparative study of least-squares, SUPG and Galerkin methods for convection problems. Zbl 0982.76056
Bochev, Pavel B.; Choi, Jungmin
2001
Least-squares methods for the Navier-Stokes equations: Trends and developments. Zbl 0970.35098
Bochev, P.
1998
Formulation and analysis of a parameter-free stabilized finite element method. Zbl 1326.65159
Bochev, P.; Perego, M.; Peterson, K.
2015
A parameter-free stabilized finite element method for scalar advection-diffusion problems. Zbl 1273.65173
Bochev, Pavel; Peterson, Kara
2013
Optimization-based modeling with applications to transport. III. Computational studies. Zbl 1354.65103
Ridzal, Denis; Young, Joseph; Bochev, Pavel; Peterson, Kara
2012
Optimization-based modeling with applications to transport. I. Abstract formulation. Zbl 1354.65101
Bochev, Pavel; Ridzal, Denis; Young, Joseph
2012
Blending methods for coupling atomistic and continuum models. Zbl 1432.74001
Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M.
2010
Additive operator decomposition and optimization-based reconnection with applications. Zbl 1280.65104
Bochev, Pavel; Ridzal, Denis
2010
A least-squares method for consistent mesh tying. Zbl 1132.65104
Bochev, Pavel; Day, David
2007
Least-squares methods for Navier-Stokes boundary control problems. Zbl 0913.76065
Bochev, P. B.; Bedivan, D. M.
1997
Least-squares methods for optimal control. Zbl 0914.49017
Bochev, Pavel
1997
Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053
Bochev, Pavel (ed.); Demkowicz, Leszek (ed.); Gopalakrishnan, Jay (ed.); Gunzburger, Max (ed.)
2014
Algebraically constrained extended edge element method (eXFEM-AC) for resolution of multi-material cells. Zbl 1349.78114
Kramer, Richard M. J.; Bochev, Pavel B.; Siefert, Christopher M.; Voth, Thomas E.
2014
Optimization-based modeling with applications to transport. II. The optimization algorithm. Zbl 1354.65104
Young, Joseph; Ridzal, Denis; Bochev, Pavel
2012
Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034
Badia, Santiago; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard; Parks, Michael
2008
Analysis and computation of least-squares methods for a compressible Stokes problem. Zbl 1097.76046
Bochev, Pavel; Kim, Sang Dong; Shin, Byeong-Chun
2006
Simultaneous self-verified computation of exp(A) and $$\int_{0}^{1}\exp (As)ds$$. Zbl 0721.65020
Bochev, P.
1990
Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries. Zbl 1417.65186
Cheung, James; Perego, Mauro; Bochev, Pavel; Gunzburger, Max
2019
A high-order staggered meshless method for elliptic problems. Zbl 1365.65264
Trask, Nathaniel; Perego, Mauro; Bochev, Pavel
2017
An optimization-based approach for elliptic problems with interfaces. Zbl 06799810
Kuberry, Paul; Bochev, Pavel; Peterson, Kara
2017
Analysis of an optimization-based atomistic-to-continuum coupling method for point defects. Zbl 1353.82022
Olson, Derek; Shapeev, Alexander V.; Bochev, Pavel B.; Luskin, Mitchell
2016
Optimization-based mesh correction with volume and convexity constraints. Zbl 1349.65420
D’Elia, Marta; Ridzal, Denis; Peterson, Kara J.; Bochev, Pavel; Shashkov, Mikhail
2016
Formulation and analysis of a parameter-free stabilized finite element method. Zbl 1326.65159
Bochev, P.; Perego, M.; Peterson, K.
2015
An optimization-based atomistic-to-continuum coupling method. Zbl 1306.65220
Olson, Derek; Bochev, Pavel B.; Luskin, Mitchell; Shapeev, Alexander V.
2014
Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations. Zbl 1351.90126
Bochev, Pavel; Ridzal, Denis; Peterson, Kara
2014
A spectral mimetic least-squares method. Zbl 1364.35137
Bochev, Pavel; Gerritsma, Marc
2014
Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053
Bochev, Pavel (ed.); Demkowicz, Leszek (ed.); Gopalakrishnan, Jay (ed.); Gunzburger, Max (ed.)
2014
Algebraically constrained extended edge element method (eXFEM-AC) for resolution of multi-material cells. Zbl 1349.78114
Kramer, Richard M. J.; Bochev, Pavel B.; Siefert, Christopher M.; Voth, Thomas E.
2014
Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. Zbl 1349.65054
Bochev, Pavel; Ridzal, Denis; Shashkov, Mikhail
2013
A new control volume finite element method for the stable and accurate solution of the drift-diffusion equations on general unstructured grids. Zbl 1297.65101
Bochev, Pavel; Peterson, Kara; Gao, Xujiao
2013
An extended finite element method with algebraic constraints (XFEM-AC) for problems with weak discontinuities. Zbl 1286.65163
Kramer, Richard; Bochev, Pavel; Siefert, Christopher; Voth, Tom
2013
A parameter-free stabilized finite element method for scalar advection-diffusion problems. Zbl 1273.65173
Bochev, Pavel; Peterson, Kara
2013
A locally conservative, discontinuous least-squares finite element method for the Stokes equations. Zbl 1342.76072
Bochev, Pavel; Lai, James; Olson, Luke
2012
Optimization-based modeling with applications to transport. III. Computational studies. Zbl 1354.65103
Ridzal, Denis; Young, Joseph; Bochev, Pavel; Peterson, Kara
2012
Optimization-based modeling with applications to transport. I. Abstract formulation. Zbl 1354.65101
Bochev, Pavel; Ridzal, Denis; Young, Joseph
2012
Optimization-based modeling with applications to transport. II. The optimization algorithm. Zbl 1354.65104
Young, Joseph; Ridzal, Denis; Bochev, Pavel
2012
Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. Zbl 1416.65496
Bochev, Pavel; Ridzal, Denis; Scovazzi, Guglielmo; Shashkov, Mikhail
2011
Energy principles and finite element methods for pure traction linear elasticity. Zbl 1283.65106
Bochev, Pavel; Lehoucq
2011
Analysis and computation of compatible least-squares methods for div-curl equations. Zbl 1229.65207
Bochev, Pavel B.; Peterson, Kara; Siefert, Christopher M.
2011
A locally conservative mimetic least-squares finite element method for the Stokes equations. Zbl 1280.76016
Bochev, Pavel; Gunzburger, Max
2010
Blending methods for coupling atomistic and continuum models. Zbl 1432.74001
Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M.
2010
Additive operator decomposition and optimization-based reconnection with applications. Zbl 1280.65104
Bochev, Pavel; Ridzal, Denis
2010
Least-squares finite element methods. Zbl 1168.65067
Bochev, Pavel B.; Gunzburger, Max D.
2009
Rehabilitation of the lowest-order Raviart-Thomas element on quadrilateral grids. Zbl 1190.65169
Bochev, Pavel B.; Ridzal, Denis
2009
An optimization-based approach for the design of PDE solution algorithms. Zbl 1203.65097
Bochev, Pavel B.; Ridzal, Denis
2009
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
2008
Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343
Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B.
2008
A locally conservative least-squares method for Darcy flows. Zbl 1191.76066
Bochev, P. B.; Gunzburger, M. D.
2008
An algebraic multigrid approach based on a compatible gauge reformulation of Maxwell’s equations. Zbl 1184.78007
Bochev, Pavel B.; Hu, Jonathan J.; Siefert, Christopher M.; Tuminaro, Raymond S.
2008
Analysis and computation of a least-squares method for consistent mesh tying. Zbl 1154.65088
Day, David; Bochev, Pavel
2008
Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034
Badia, Santiago; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard; Parks, Michael
2008
On stabilized finite element methods for the Stokes problem in the small time step limit. Zbl 1104.76059
Bochev, Pavel B.; Gunzburger, Max D.; Lehoucq, Richard B.
2007
A novel Lagrange-multiplier based method for consistent mesh tying. Zbl 1173.65362
Parks, M. L.; Romero, L.; Bochev, P.
2007
A least-squares method for consistent mesh tying. Zbl 1132.65104
Bochev, Pavel; Day, David
2007
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
2006
Principles of mimetic discretizations of differential operators. Zbl 1110.65103
Bochev, Pavel B.; Hyman, James M.
2006
A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method. Zbl 1124.76027
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Bochev, Pavel B.; Buffa, Annalisa
2006
A computational study of stabilized, low-order $$C^{0}$$ finite element approximations of Darcy equations. Zbl 1177.76191
Bochev, Pavel B.; Dohrmann, Clark R.
2006
Toward an $$h$$-independent algebraic multigrid method for Maxwell’s equations. Zbl 1136.76341
Hu, Jonathan J.; Tuminaro, Raymond S.; Bochev, Pavel B.; Garasi, Christopher J.; Robinson, Allen C.
2006
A multiscale discontinuous Galerkin method. Zbl 1142.65442
Bochev, Pavel; Hughes, Thomas J. R.; Scovazzi, Guglielmo
2006
Regularization and stabilization of discrete saddle-point variational problems. Zbl 1112.65118
Bochev, P. B.; Lehoucq, R. B.
2006
Least-squares finite element methods. Zbl 1100.65098
Bochev, Pavel; Gunzburger, Max
2006
Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. Zbl 1097.65003
Arnold, Douglas N. (ed.); Bochev, Pavel B. (ed.); Lehoucq, Richard B. (ed.); Nicolaides, Roy A. (ed.); Shashkov, Mikhail (ed.)
2006
Least-squares finite element methods for optimality systems arising in optimization and control problems. Zbl 1112.65062
Bochev, Pavel; Gunzburger, Max D.
2006
Analysis and computation of least-squares methods for a compressible Stokes problem. Zbl 1097.76046
Bochev, Pavel; Kim, Sang Dong; Shin, Byeong-Chun
2006
On the finite element solution of the pure Neumann problem. Zbl 1084.65111
Bochev, Pavel; Lehoucq, R. B.
2005
On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles. Zbl 1128.76031
Bochev, Pavel; Gunzburger, Max
2005
Constrained interpolation (remap) of divergence-free fields. Zbl 1143.65389
Bochev, Pavel; Shashkov, Mikhail
2005
A stabilized finite element method for the Stokes problem based on polynomial pressure projections. Zbl 1060.76569
Dohrmann, Clark R.; Bochev, Pavel B.
2004
A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307
Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John
2004
An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations. Zbl 1159.76346
Bochev, Pavel; Gunzburger, Max
2004
Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563
Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N.
2004
On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577
Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N.
2004
Least-squares finite-element methods for optimization and control problems for the Stokes equations. Zbl 1142.76409
Bochev, P.; Gunzburger, M. D.
2004
An improved algebraic multigrid method for solving Maxwell’s equations. Zbl 1163.76337
Bochev, Pavel B.; Garasi, Christopher J.; Hu, Jonathan J.; Robinson, Allen C.; Tuminaro, Raymond S.
2003
Towards robust 3D $$Z$$-pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors. Zbl 1201.76041
Bochev, Pavel B.; Hu, Jonathan J.; Robinson, Allen C.; Tuminaro, Raymond S.
2003
Improved least-squares error estimates for scalar hyperbolic problems. Zbl 0979.65079
Bochev, P. B.; Choi, J.
2001
A comparative study of least-squares, SUPG and Galerkin methods for convection problems. Zbl 0982.76056
Bochev, Pavel B.; Choi, Jungmin
2001
Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044
Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F.
1999
Negative norm least-squares methods for the velocity-vorticity-pressure Navier-Stokes equations. Zbl 0921.76102
Bochev, Pavel B.
1999
Finite element methods of least-squares type. Zbl 0914.65108
Bochev, Pavel B.; Gunzburger, Max D.
1998
Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations. I. Zbl 0910.76032
Bochev, P.; Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
1998
Least-squares methods for the Navier-Stokes equations: Trends and developments. Zbl 0970.35098
Bochev, P.
1998
Analysis of least-squares finite element methods for the Navier-Stokes equations. Zbl 0901.76030
Bochev, Pavel B.
1997
Least-squares methods for Navier-Stokes boundary control problems. Zbl 0913.76065
Bochev, P. B.; Bedivan, D. M.
1997
Least-squares methods for optimal control. Zbl 0914.49017
Bochev, Pavel
1997
Analysis and computation of adaptive moving grids by deformation. Zbl 0856.65109
Bochev, Pavel; Liao, Guojun; dela Pena, Gary
1996
Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations. Zbl 1067.76562
Bochev, Pavel B.; Gunzburger, Max D.
1995
Analysis of least squares finite element methods for the Stokes equations. Zbl 0816.65082
Bochev, Pavel B.; Gunzburger, Max D.
1994
On quadratic invariants and symplectic structure. Zbl 0813.65102
Bochev, P. B.; Scovel, C.
1994
Accuracy of least-squares methods for the Navier–Stokes equations. Zbl 0779.76039
Bochev, Pavel B.; Gunzburger, Max D.
1993
A least-squares finite element method for the Navier-Stokes equations. Zbl 0770.76035
Bochev, Pavel B.; Gunzburger, Max D.
1993
Simultaneous self-verified computation of exp(A) and $$\int_{0}^{1}\exp (As)ds$$. Zbl 0721.65020
Bochev, P.
1990
A self-validating numerical method for the matrix exponential. Zbl 0685.65035
Bochev, Pavel; Markov, Svetoslav
1989
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#### Cited by 1,481 Authors

 37 Bochev, Pavel B. 30 Li, Jian 21 Gerritsma, Marc I. 21 Yang, Suh-Yuh 20 He, Yinnian 17 Chen, Zhangxin 15 Huang, Pengzhan 13 Feng, Xinlong 11 Gunzburger, Max D. 11 Perego, Mauro 10 Barrenechea, Gabriel R. 10 Brezzi, Franco 10 Dumbser, Michael 10 Kim, Sangdong 10 Luskin, Mitchell 10 Shadid, John N. 10 Trask, Nathaniel 9 Boscheri, Walter 9 Codina, Ramon 9 Feng, Minfu 9 Kuzmin, Dmitri 9 Mei, Liquan 9 Ortner, Christoph 9 Reddy, Junuthula Narasimha 9 Zheng, Haibiao 8 Carstensen, Carsten 8 Hou, Yanren 8 Hughes, Thomas J. R. 8 Lee, Hsueh-Chen 8 Manteuffel, Thomas A. 8 Peterson, Kara J. 8 Scovazzi, Guglielmo 8 Ye, Xiu 8 Zhang, Tong 7 Duan, Huoyuan 7 MacLachlan, Scott P. 7 Manzini, Gianmarco 7 Palha, Artur 6 Ahmed, Naveed 6 An, Rong 6 Babuška, Ivo 6 Banerjee, Uday 6 Bazilevs, Yuri 6 Cyr, Eric C. 6 Demkowicz, Leszek F. 6 Heys, Jeffrey J. 6 Hsieh, Po-Wen 6 Jiang, Bo-Nan 6 Ku, Jaeun 6 Lee, Eunjung 6 Li, Kaitai 6 Matthies, Gunar 6 Pawlowski, Roger P. 6 Pontaza, Juan P. 6 Prudhomme, Serge 6 Ridzal, Denis 6 Schröder, Jörg 6 Schwarz, Alexander 6 Shapeev, Alexander V. 6 Shin, Byeong Chun 6 Starke, Gerhard 6 Zhao, Xin 5 Adler, James H. 5 Badia, Santiago 5 Beirão da Veiga, Lourenço 5 Bertrand, Fleurianne 5 Borja, Ronaldo I. 5 Burman, Erik 5 Cai, Zhiqiang 5 Calo, Victor Manuel 5 Chamakuri, Nagaiah 5 Chamoin, Ludovic 5 Desbrun, Mathieu 5 Dutra do Carmo, Eduardo Gomes 5 Hu, Xiaozhe 5 Kuberry, Paul Allen 5 Kunisch, Karl 5 Lamichhane, Bishnu Prasad 5 Li, Minghao 5 Lin, Runchang 5 Liu, Jinn-Liang 5 Marini, Luisa Donatella 5 Mu, Lin 5 Noble, David R. 5 Parks, Michael L. 5 Pedregal, Pablo 5 Rozza, Gianluigi 5 Rui, Hongxing 5 Russo, Alessandro 5 Shi, Feng 5 Song, Lina 5 Taylor, Mark Alan 5 Turek, Stefan 5 Valentin, Frédéric 5 Wall, Wolfgang A. 5 Weng, Zhifeng 5 Westphal, Chad R. 5 Xu, Jinchao 5 Zhang, Qinghui 5 Zhang, Shun ...and 1,381 more Authors
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#### Cited in 127 Serials

 141 Computer Methods in Applied Mechanics and Engineering 127 Journal of Computational Physics 69 Computers & Mathematics with Applications 53 Journal of Computational and Applied Mathematics 38 Applied Numerical Mathematics 35 Applied Mathematics and Computation 34 SIAM Journal on Scientific Computing 29 International Journal for Numerical Methods in Engineering 27 Journal of Scientific Computing 25 Numerische Mathematik 25 Numerical Methods for Partial Differential Equations 23 SIAM Journal on Numerical Analysis 20 International Journal for Numerical Methods in Fluids 17 Mathematics of Computation 15 Computational Mechanics 14 Computers and Fluids 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Advances in Computational Mathematics 7 Numerical Functional Analysis and Optimization 7 Applied Mathematical Modelling 7 International Journal of Computer Mathematics 7 Communications in Numerical Methods in Engineering 6 Computing 6 Applied Mathematics and Mechanics. (English Edition) 6 Applications of Mathematics 6 Abstract and Applied Analysis 6 Computational Methods in Applied Mathematics 6 Multiscale Modeling & Simulation 5 Calcolo 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Numerical Linear Algebra with Applications 5 Engineering Analysis with Boundary Elements 5 Mathematical Problems in Engineering 5 Computational Geosciences 4 Inverse Problems 4 Journal of Mathematical Analysis and Applications 4 Mathematics and Computers in Simulation 3 Mathematical Methods in the Applied Sciences 3 BIT 3 Optimization 3 Numerical Algorithms 3 Linear Algebra and its Applications 3 Computational and Applied Mathematics 3 International Journal of Computational Fluid Dynamics 3 Archives of Computational Methods in Engineering 3 Central European Journal of Mathematics 3 International Journal of Computational Methods 3 SIAM/ASA Journal on Uncertainty Quantification 3 SMAI Journal of Computational Mathematics 2 Archive for Rational Mechanics and Analysis 2 Computer Physics Communications 2 Journal of Engineering Mathematics 2 Mathematical Biosciences 2 Acta Applicandae Mathematicae 2 Physica D 2 Applied Mathematics Letters 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Bulletin of the American Mathematical Society. New Series 2 Computational Optimization and Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Foundations of Computational Mathematics 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Difference Equations 2 Acta Mechanica Sinica 2 Computational & Mathematical Methods in Medicine 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 Advances in Numerical Analysis 2 Science China. Mathematics 2 S$$\vec{\text{e}}$$MA Journal 2 ISRN Applied Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 ACM Transactions on Mathematical Software 1 Mathematische Nachrichten 1 Meccanica 1 Optimal Control Applications & Methods 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 COMPEL 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Computational Mathematics and Modeling 1 Aequationes Mathematicae 1 Journal of Non-Newtonian Fluid Mechanics 1 Calculus of Variations and Partial Differential Equations 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Bulletin des Sciences Mathématiques 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Flow, Turbulence and Combustion ...and 27 more Serials
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#### Cited in 36 Fields

 723 Numerical analysis (65-XX) 465 Fluid mechanics (76-XX) 297 Partial differential equations (35-XX) 144 Mechanics of deformable solids (74-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 29 Statistical mechanics, structure of matter (82-XX) 27 Optics, electromagnetic theory (78-XX) 22 Biology and other natural sciences (92-XX) 16 Geophysics (86-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Probability theory and stochastic processes (60-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Operations research, mathematical programming (90-XX) 10 Ordinary differential equations (34-XX) 9 Computer science (68-XX) 9 Classical thermodynamics, heat transfer (80-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Approximations and expansions (41-XX) 6 Systems theory; control (93-XX) 5 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 4 Differential geometry (53-XX) 4 Quantum theory (81-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX)