Edit Profile Bochev, Pavel B. Compute Distance To: Compute 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 all top 5 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. all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1145.76015Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D. 171 2006 Least-squares finite element methods. Zbl 1168.65067Bochev, Pavel B.; Gunzburger, Max D. 116 2009 Finite element methods of least-squares type. Zbl 0914.65108Bochev, Pavel B.; Gunzburger, Max D. 105 1998 A stabilized finite element method for the Stokes problem based on polynomial pressure projections. Zbl 1060.76569Dohrmann, Clark R.; Bochev, Pavel B. 102 2004 Principles of mimetic discretizations of differential operators. Zbl 1110.65103Bochev, Pavel B.; Hyman, James M. 71 2006 On the finite element solution of the pure Neumann problem. Zbl 1084.65111Bochev, Pavel; Lehoucq, R. B. 64 2005 Analysis of least squares finite element methods for the Stokes equations. Zbl 0816.65082Bochev, Pavel B.; Gunzburger, Max D. 53 1994 A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method. Zbl 1124.76027Hughes, Thomas J. R.; Scovazzi, Guglielmo; Bochev, Pavel B.; Buffa, Annalisa 52 2006 Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations. I. Zbl 0910.76032Bochev, P.; Cai, Z.; Manteuffel, T. A.; McCormick, S. F. 43 1998 Analysis of least-squares finite element methods for the Navier-Stokes equations. Zbl 0901.76030Bochev, Pavel B. 43 1997 Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations. Zbl 1067.76562Bochev, Pavel B.; Gunzburger, Max D. 42 1995 A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John 39 2004 On atomistic-to-continuum coupling by blending. Zbl 1160.65338Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 34 2008 Accuracy of least-squares methods for the Navier–Stokes equations. Zbl 0779.76039Bochev, Pavel B.; Gunzburger, Max D. 30 1993 On stabilized finite element methods for the Stokes problem in the small time step limit. Zbl 1104.76059Bochev, Pavel B.; Gunzburger, Max D.; Lehoucq, Richard B. 29 2007 An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations. Zbl 1159.76346Bochev, Pavel; Gunzburger, Max 29 2004 A computational study of stabilized, low-order \(C^{0}\) finite element approximations of Darcy equations. Zbl 1177.76191Bochev, Pavel B.; Dohrmann, Clark R. 24 2006 Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 24 2004 Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. Zbl 1349.65054Bochev, Pavel; Ridzal, Denis; Shashkov, Mikhail 21 2013 Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F. 21 1999 Toward an \(h\)-independent algebraic multigrid method for Maxwell’s equations. Zbl 1136.76341Hu, Jonathan J.; Tuminaro, Raymond S.; Bochev, Pavel B.; Garasi, Christopher J.; Robinson, Allen C. 19 2006 On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 19 2004 Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B. 18 2008 On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles. Zbl 1128.76031Bochev, Pavel; Gunzburger, Max 18 2005 Analysis and computation of adaptive moving grids by deformation. Zbl 0856.65109Bochev, Pavel; Liao, Guojun; dela Pena, Gary 17 1996 A locally conservative least-squares method for Darcy flows. Zbl 1191.76066Bochev, P. B.; Gunzburger, M. D. 16 2008 An improved algebraic multigrid method for solving Maxwell’s equations. Zbl 1163.76337Bochev, Pavel B.; Garasi, Christopher J.; Hu, Jonathan J.; Robinson, Allen C.; Tuminaro, Raymond S. 16 2003 A multiscale discontinuous Galerkin method. Zbl 1142.65442Bochev, Pavel; Hughes, Thomas J. R.; Scovazzi, Guglielmo 15 2006 Negative norm least-squares methods for the velocity-vorticity-pressure Navier-Stokes equations. Zbl 0921.76102Bochev, Pavel B. 15 1999 Regularization and stabilization of discrete saddle-point variational problems. Zbl 1112.65118Bochev, P. B.; Lehoucq, R. B. 13 2006 Least-squares finite element methods. Zbl 1100.65098Bochev, Pavel; Gunzburger, Max 13 2006 An optimization-based atomistic-to-continuum coupling method. Zbl 1306.65220Olson, Derek; Bochev, Pavel B.; Luskin, Mitchell; Shapeev, Alexander V. 12 2014 On quadratic invariants and symplectic structure. Zbl 0813.65102Bochev, P. B.; Scovel, C. 12 1994 A high-order staggered meshless method for elliptic problems. Zbl 1365.65264Trask, Nathaniel; Perego, Mauro; Bochev, Pavel 11 2017 A locally conservative, discontinuous least-squares finite element method for the Stokes equations. Zbl 1342.76072Bochev, Pavel; Lai, James; Olson, Luke 11 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 1097.65003Arnold, Douglas N. (ed.); Bochev, Pavel B. (ed.); Lehoucq, Richard B. (ed.); Nicolaides, Roy A. (ed.); Shashkov, Mikhail (ed.) 11 2006 Least-squares finite-element methods for optimization and control problems for the Stokes equations. Zbl 1142.76409Bochev, P.; Gunzburger, M. D. 10 2004 Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations. Zbl 1351.90126Bochev, Pavel; Ridzal, Denis; Peterson, Kara 9 2014 Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. Zbl 1416.65496Bochev, Pavel; Ridzal, Denis; Scovazzi, Guglielmo; Shashkov, Mikhail 9 2011 Rehabilitation of the lowest-order Raviart-Thomas element on quadrilateral grids. Zbl 1190.65169Bochev, Pavel B.; Ridzal, Denis 9 2009 Improved least-squares error estimates for scalar hyperbolic problems. Zbl 0979.65079Bochev, P. B.; Choi, J. 9 2001 An algebraic multigrid approach based on a compatible gauge reformulation of Maxwell’s equations. Zbl 1184.78007Bochev, Pavel B.; Hu, Jonathan J.; Siefert, Christopher M.; Tuminaro, Raymond S. 8 2008 A least-squares finite element method for the Navier-Stokes equations. Zbl 0770.76035Bochev, Pavel B.; Gunzburger, Max D. 8 1993 Constrained interpolation (remap) of divergence-free fields. Zbl 1143.65389Bochev, Pavel; Shashkov, Mikhail 7 2005 A spectral mimetic least-squares method. Zbl 1364.35137Bochev, Pavel; Gerritsma, Marc 6 2014 An optimization-based approach for the design of PDE solution algorithms. Zbl 1203.65097Bochev, Pavel B.; Ridzal, Denis 6 2009 Least-squares finite element methods for optimality systems arising in optimization and control problems. Zbl 1112.65062Bochev, Pavel; Gunzburger, Max D. 5 2006 Towards robust 3D \(Z\)-pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors. Zbl 1201.76041Bochev, Pavel B.; Hu, Jonathan J.; Robinson, Allen C.; Tuminaro, Raymond S. 5 2003 Analysis of an optimization-based atomistic-to-continuum coupling method for point defects. Zbl 1353.82022Olson, Derek; Shapeev, Alexander V.; Bochev, Pavel B.; Luskin, Mitchell 4 2016 A new control volume finite element method for the stable and accurate solution of the drift-diffusion equations on general unstructured grids. Zbl 1297.65101Bochev, Pavel; Peterson, Kara; Gao, Xujiao 4 2013 An extended finite element method with algebraic constraints (XFEM-AC) for problems with weak discontinuities. Zbl 1286.65163Kramer, Richard; Bochev, Pavel; Siefert, Christopher; Voth, Tom 4 2013 Energy principles and finite element methods for pure traction linear elasticity. Zbl 1283.65106Bochev, Pavel; Lehoucq 4 2011 Analysis and computation of compatible least-squares methods for div-curl equations. Zbl 1229.65207Bochev, Pavel B.; Peterson, Kara; Siefert, Christopher M. 4 2011 A locally conservative mimetic least-squares finite element method for the Stokes equations. Zbl 1280.76016Bochev, Pavel; Gunzburger, Max 4 2010 Analysis and computation of a least-squares method for consistent mesh tying. Zbl 1154.65088Day, David; Bochev, Pavel 4 2008 A novel Lagrange-multiplier based method for consistent mesh tying. Zbl 1173.65362Parks, M. L.; Romero, L.; Bochev, P. 4 2007 A self-validating numerical method for the matrix exponential. Zbl 0685.65035Bochev, Pavel; Markov, Svetoslav 4 1989 Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries. Zbl 1417.65186Cheung, James; Perego, Mauro; Bochev, Pavel; Gunzburger, Max 3 2019 An optimization-based approach for elliptic problems with interfaces. Zbl 06799810Kuberry, Paul; Bochev, Pavel; Peterson, Kara 3 2017 Optimization-based mesh correction with volume and convexity constraints. Zbl 1349.65420D’Elia, Marta; Ridzal, Denis; Peterson, Kara J.; Bochev, Pavel; Shashkov, Mikhail 3 2016 A comparative study of least-squares, SUPG and Galerkin methods for convection problems. Zbl 0982.76056Bochev, Pavel B.; Choi, Jungmin 3 2001 Least-squares methods for the Navier-Stokes equations: Trends and developments. Zbl 0970.35098Bochev, P. 3 1998 Formulation and analysis of a parameter-free stabilized finite element method. Zbl 1326.65159Bochev, P.; Perego, M.; Peterson, K. 2 2015 A parameter-free stabilized finite element method for scalar advection-diffusion problems. Zbl 1273.65173Bochev, Pavel; Peterson, Kara 2 2013 Optimization-based modeling with applications to transport. III. Computational studies. Zbl 1354.65103Ridzal, Denis; Young, Joseph; Bochev, Pavel; Peterson, Kara 2 2012 Optimization-based modeling with applications to transport. I. Abstract formulation. Zbl 1354.65101Bochev, Pavel; Ridzal, Denis; Young, Joseph 2 2012 Blending methods for coupling atomistic and continuum models. Zbl 1432.74001Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M. 2 2010 Additive operator decomposition and optimization-based reconnection with applications. Zbl 1280.65104Bochev, Pavel; Ridzal, Denis 2 2010 A least-squares method for consistent mesh tying. Zbl 1132.65104Bochev, Pavel; Day, David 2 2007 Least-squares methods for Navier-Stokes boundary control problems. Zbl 0913.76065Bochev, P. B.; Bedivan, D. M. 2 1997 Least-squares methods for optimal control. Zbl 0914.49017Bochev, Pavel 2 1997 Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053Bochev, Pavel (ed.); Demkowicz, Leszek (ed.); Gopalakrishnan, Jay (ed.); Gunzburger, Max (ed.) 1 2014 Algebraically constrained extended edge element method (eXFEM-AC) for resolution of multi-material cells. Zbl 1349.78114Kramer, Richard M. J.; Bochev, Pavel B.; Siefert, Christopher M.; Voth, Thomas E. 1 2014 Optimization-based modeling with applications to transport. II. The optimization algorithm. Zbl 1354.65104Young, Joseph; Ridzal, Denis; Bochev, Pavel 1 2012 Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034Badia, Santiago; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard; Parks, Michael 1 2008 Analysis and computation of least-squares methods for a compressible Stokes problem. Zbl 1097.76046Bochev, Pavel; Kim, Sang Dong; Shin, Byeong-Chun 1 2006 Simultaneous self-verified computation of exp(A) and \(\int_{0}^{1}\exp (As)ds\). Zbl 0721.65020Bochev, P. 1 1990 Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries. Zbl 1417.65186Cheung, James; Perego, Mauro; Bochev, Pavel; Gunzburger, Max 3 2019 A high-order staggered meshless method for elliptic problems. Zbl 1365.65264Trask, Nathaniel; Perego, Mauro; Bochev, Pavel 11 2017 An optimization-based approach for elliptic problems with interfaces. Zbl 06799810Kuberry, Paul; Bochev, Pavel; Peterson, Kara 3 2017 Analysis of an optimization-based atomistic-to-continuum coupling method for point defects. Zbl 1353.82022Olson, Derek; Shapeev, Alexander V.; Bochev, Pavel B.; Luskin, Mitchell 4 2016 Optimization-based mesh correction with volume and convexity constraints. Zbl 1349.65420D’Elia, Marta; Ridzal, Denis; Peterson, Kara J.; Bochev, Pavel; Shashkov, Mikhail 3 2016 Formulation and analysis of a parameter-free stabilized finite element method. Zbl 1326.65159Bochev, P.; Perego, M.; Peterson, K. 2 2015 An optimization-based atomistic-to-continuum coupling method. Zbl 1306.65220Olson, Derek; Bochev, Pavel B.; Luskin, Mitchell; Shapeev, Alexander V. 12 2014 Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations. Zbl 1351.90126Bochev, Pavel; Ridzal, Denis; Peterson, Kara 9 2014 A spectral mimetic least-squares method. Zbl 1364.35137Bochev, Pavel; Gerritsma, Marc 6 2014 Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053Bochev, Pavel (ed.); Demkowicz, Leszek (ed.); Gopalakrishnan, Jay (ed.); Gunzburger, Max (ed.) 1 2014 Algebraically constrained extended edge element method (eXFEM-AC) for resolution of multi-material cells. Zbl 1349.78114Kramer, Richard M. J.; Bochev, Pavel B.; Siefert, Christopher M.; Voth, Thomas E. 1 2014 Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. Zbl 1349.65054Bochev, Pavel; Ridzal, Denis; Shashkov, Mikhail 21 2013 A new control volume finite element method for the stable and accurate solution of the drift-diffusion equations on general unstructured grids. Zbl 1297.65101Bochev, Pavel; Peterson, Kara; Gao, Xujiao 4 2013 An extended finite element method with algebraic constraints (XFEM-AC) for problems with weak discontinuities. Zbl 1286.65163Kramer, Richard; Bochev, Pavel; Siefert, Christopher; Voth, Tom 4 2013 A parameter-free stabilized finite element method for scalar advection-diffusion problems. Zbl 1273.65173Bochev, Pavel; Peterson, Kara 2 2013 A locally conservative, discontinuous least-squares finite element method for the Stokes equations. Zbl 1342.76072Bochev, Pavel; Lai, James; Olson, Luke 11 2012 Optimization-based modeling with applications to transport. III. Computational studies. Zbl 1354.65103Ridzal, Denis; Young, Joseph; Bochev, Pavel; Peterson, Kara 2 2012 Optimization-based modeling with applications to transport. I. Abstract formulation. Zbl 1354.65101Bochev, Pavel; Ridzal, Denis; Young, Joseph 2 2012 Optimization-based modeling with applications to transport. II. The optimization algorithm. Zbl 1354.65104Young, Joseph; Ridzal, Denis; Bochev, Pavel 1 2012 Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. Zbl 1416.65496Bochev, Pavel; Ridzal, Denis; Scovazzi, Guglielmo; Shashkov, Mikhail 9 2011 Energy principles and finite element methods for pure traction linear elasticity. Zbl 1283.65106Bochev, Pavel; Lehoucq 4 2011 Analysis and computation of compatible least-squares methods for div-curl equations. Zbl 1229.65207Bochev, Pavel B.; Peterson, Kara; Siefert, Christopher M. 4 2011 A locally conservative mimetic least-squares finite element method for the Stokes equations. Zbl 1280.76016Bochev, Pavel; Gunzburger, Max 4 2010 Blending methods for coupling atomistic and continuum models. Zbl 1432.74001Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M. 2 2010 Additive operator decomposition and optimization-based reconnection with applications. Zbl 1280.65104Bochev, Pavel; Ridzal, Denis 2 2010 Least-squares finite element methods. Zbl 1168.65067Bochev, Pavel B.; Gunzburger, Max D. 116 2009 Rehabilitation of the lowest-order Raviart-Thomas element on quadrilateral grids. Zbl 1190.65169Bochev, Pavel B.; Ridzal, Denis 9 2009 An optimization-based approach for the design of PDE solution algorithms. Zbl 1203.65097Bochev, Pavel B.; Ridzal, Denis 6 2009 On atomistic-to-continuum coupling by blending. Zbl 1160.65338Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 34 2008 Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B. 18 2008 A locally conservative least-squares method for Darcy flows. Zbl 1191.76066Bochev, P. B.; Gunzburger, M. D. 16 2008 An algebraic multigrid approach based on a compatible gauge reformulation of Maxwell’s equations. Zbl 1184.78007Bochev, Pavel B.; Hu, Jonathan J.; Siefert, Christopher M.; Tuminaro, Raymond S. 8 2008 Analysis and computation of a least-squares method for consistent mesh tying. Zbl 1154.65088Day, David; Bochev, Pavel 4 2008 Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034Badia, Santiago; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard; Parks, Michael 1 2008 On stabilized finite element methods for the Stokes problem in the small time step limit. Zbl 1104.76059Bochev, Pavel B.; Gunzburger, Max D.; Lehoucq, Richard B. 29 2007 A novel Lagrange-multiplier based method for consistent mesh tying. Zbl 1173.65362Parks, M. L.; Romero, L.; Bochev, P. 4 2007 A least-squares method for consistent mesh tying. Zbl 1132.65104Bochev, Pavel; Day, David 2 2007 Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D. 171 2006 Principles of mimetic discretizations of differential operators. Zbl 1110.65103Bochev, Pavel B.; Hyman, James M. 71 2006 A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method. Zbl 1124.76027Hughes, Thomas J. R.; Scovazzi, Guglielmo; Bochev, Pavel B.; Buffa, Annalisa 52 2006 A computational study of stabilized, low-order \(C^{0}\) finite element approximations of Darcy equations. Zbl 1177.76191Bochev, Pavel B.; Dohrmann, Clark R. 24 2006 Toward an \(h\)-independent algebraic multigrid method for Maxwell’s equations. Zbl 1136.76341Hu, Jonathan J.; Tuminaro, Raymond S.; Bochev, Pavel B.; Garasi, Christopher J.; Robinson, Allen C. 19 2006 A multiscale discontinuous Galerkin method. Zbl 1142.65442Bochev, Pavel; Hughes, Thomas J. R.; Scovazzi, Guglielmo 15 2006 Regularization and stabilization of discrete saddle-point variational problems. Zbl 1112.65118Bochev, P. B.; Lehoucq, R. B. 13 2006 Least-squares finite element methods. Zbl 1100.65098Bochev, Pavel; Gunzburger, Max 13 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 1097.65003Arnold, Douglas N. (ed.); Bochev, Pavel B. (ed.); Lehoucq, Richard B. (ed.); Nicolaides, Roy A. (ed.); Shashkov, Mikhail (ed.) 11 2006 Least-squares finite element methods for optimality systems arising in optimization and control problems. Zbl 1112.65062Bochev, Pavel; Gunzburger, Max D. 5 2006 Analysis and computation of least-squares methods for a compressible Stokes problem. Zbl 1097.76046Bochev, Pavel; Kim, Sang Dong; Shin, Byeong-Chun 1 2006 On the finite element solution of the pure Neumann problem. Zbl 1084.65111Bochev, Pavel; Lehoucq, R. B. 64 2005 On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles. Zbl 1128.76031Bochev, Pavel; Gunzburger, Max 18 2005 Constrained interpolation (remap) of divergence-free fields. Zbl 1143.65389Bochev, Pavel; Shashkov, Mikhail 7 2005 A stabilized finite element method for the Stokes problem based on polynomial pressure projections. Zbl 1060.76569Dohrmann, Clark R.; Bochev, Pavel B. 102 2004 A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John 39 2004 An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations. Zbl 1159.76346Bochev, Pavel; Gunzburger, Max 29 2004 Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 24 2004 On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 19 2004 Least-squares finite-element methods for optimization and control problems for the Stokes equations. Zbl 1142.76409Bochev, P.; Gunzburger, M. D. 10 2004 An improved algebraic multigrid method for solving Maxwell’s equations. Zbl 1163.76337Bochev, Pavel B.; Garasi, Christopher J.; Hu, Jonathan J.; Robinson, Allen C.; Tuminaro, Raymond S. 16 2003 Towards robust 3D \(Z\)-pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors. Zbl 1201.76041Bochev, Pavel B.; Hu, Jonathan J.; Robinson, Allen C.; Tuminaro, Raymond S. 5 2003 Improved least-squares error estimates for scalar hyperbolic problems. Zbl 0979.65079Bochev, P. B.; Choi, J. 9 2001 A comparative study of least-squares, SUPG and Galerkin methods for convection problems. Zbl 0982.76056Bochev, Pavel B.; Choi, Jungmin 3 2001 Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F. 21 1999 Negative norm least-squares methods for the velocity-vorticity-pressure Navier-Stokes equations. Zbl 0921.76102Bochev, Pavel B. 15 1999 Finite element methods of least-squares type. Zbl 0914.65108Bochev, Pavel B.; Gunzburger, Max D. 105 1998 Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations. I. Zbl 0910.76032Bochev, P.; Cai, Z.; Manteuffel, T. A.; McCormick, S. F. 43 1998 Least-squares methods for the Navier-Stokes equations: Trends and developments. Zbl 0970.35098Bochev, P. 3 1998 Analysis of least-squares finite element methods for the Navier-Stokes equations. Zbl 0901.76030Bochev, Pavel B. 43 1997 Least-squares methods for Navier-Stokes boundary control problems. Zbl 0913.76065Bochev, P. B.; Bedivan, D. M. 2 1997 Least-squares methods for optimal control. Zbl 0914.49017Bochev, Pavel 2 1997 Analysis and computation of adaptive moving grids by deformation. Zbl 0856.65109Bochev, Pavel; Liao, Guojun; dela Pena, Gary 17 1996 Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations. Zbl 1067.76562Bochev, Pavel B.; Gunzburger, Max D. 42 1995 Analysis of least squares finite element methods for the Stokes equations. Zbl 0816.65082Bochev, Pavel B.; Gunzburger, Max D. 53 1994 On quadratic invariants and symplectic structure. Zbl 0813.65102Bochev, P. B.; Scovel, C. 12 1994 Accuracy of least-squares methods for the Navier–Stokes equations. Zbl 0779.76039Bochev, Pavel B.; Gunzburger, Max D. 30 1993 A least-squares finite element method for the Navier-Stokes equations. Zbl 0770.76035Bochev, Pavel B.; Gunzburger, Max D. 8 1993 Simultaneous self-verified computation of exp(A) and \(\int_{0}^{1}\exp (As)ds\). Zbl 0721.65020Bochev, P. 1 1990 A self-validating numerical method for the matrix exponential. Zbl 0685.65035Bochev, Pavel; Markov, Svetoslav 4 1989 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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