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Peterson, Janet S.

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 Author ID: peterson.janet-s Published as: Peterson, Janet S.; Peterson, Janet; Peterson, J. S.; Peterson, J.; Peterson
 Documents Indexed: 43 Publications since 1982, including 1 Book
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Co-Authors

 5 single-authored 29 Gunzburger, Max D. 7 Du, Qiang 5 Burkardt, John V. 3 Layton, William J. 1 Borggaard, Jeffrey T. 1 Burns, John A. 1 Chapman, Stephen Jonathan 1 Cliff, Eugene M. 1 Deang, Jennifer M. 1 Eastham, Jerome F. jun. 1 Fix, George J. 1 Fursikov, Andreĭ Vladimirovich 1 Hall, Charles Allan 1 Hou, L. Steven 1 Hu, Chia-Ren 1 Kim, Hongchul 1 Kim, Sangbum 1 Ladyzhenskaya, Ol’ga Aleksandrovna 1 Lenferink, H. W. J. 1 Lyngaas, Isaac 1 McLaughlin, Benjamin 1 Meir, Amnon J. 1 Nicolaides, Roy A. 1 Porsching, Thomas A. 1 Ringler, Todd D. 1 Shadid, John N. 1 Shenoy, Ajit R. 1 Sledge, F. R. 1 Trenchea, Catalin 1 Womeldorff, Geoffrey 1 Ye, Ming 1 Zhang, Yanzhi
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Serials

 8 Computers & Mathematics with Applications 3 SIAM Journal on Scientific and Statistical Computing 2 Numerische Mathematik 2 SIAM Journal on Scientific Computing 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Advances in Mathematical Sciences and Applications 1 International Journal of Computational Fluid Dynamics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 International Journal of Pure and Applied Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 Nonlinear Analysis. Theory, Methods & Applications
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Fields

 24 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 9 Statistical mechanics, structure of matter (82-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX)

Citations contained in zbMATH Open

34 Publications have been cited 648 times in 574 Documents Cited by Year
Analysis and approximation of the Ginzburg-Landau model of superconductivity. Zbl 0787.65091
Du, Qiang; Gunzburger, Max D.; Peterson, Janet S.
1992
On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics. Zbl 0731.76094
Gunzburger, Max D.; Meir, Amnon J.; Peterson, Janet S.
1991
The reduced basis method for incompressible viscous flow calculations. Zbl 0672.76034
Peterson, Janet S.
1989
A defect-correction method for the incompressible Navier-Stokes equations. Zbl 1074.76033
Layton, W.; Lee, H. K.; Peterson, J.
2002
Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data. Zbl 1121.65354
Gunzburger, Max D.; Peterson, Janet S.; Shadid, John N.
2007
Numerical solution of the stationary Navier-Stokes equations using a multilevel finite element method. Zbl 0932.76033
Layton, W.; Lee, H. K.; Peterson, J.
1999
On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations. Zbl 1064.76118
Gunzburger, M. D.; Ladyzhenskaya, O. A.; Peterson, J. S.
2004
An optimization based domain decomposition method for partial differential equations. Zbl 0941.65123
Gunzburger, M. D.; Peterson, J. S.; Kwon, H.
1999
On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations. Zbl 0559.76026
Gunzburger, Max D.; Peterson, Janet S.
1983
A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows. Zbl 0807.76037
Layton, W.; Lenferink, H. W. J.; Peterson, J. S.
1994
On finite element approximations of problems having inhomogeneous essential boundary conditions. Zbl 0531.65056
Fix, George J.; Gunzburger, Max D.; Peterson, Janet S.
1983
On the finite element approximation of incompressible flows of an electrically conduction fluid. Zbl 0657.76086
Peterson, Janet S.
1988
On finite element approximations of the streamfunction-vorticity and velocity-vorticity equations. Zbl 0667.76044
Gunzburger, Max D.; Peterson, Janet S.
1988
Insensitive functionals, inconsistent gradients, spurious minima, and regularized functionals in flow optimization problems. Zbl 1003.76023
Burkardt, John; Gunzburger, Max; Peterson, Janet
2002
Modeling and analysis of a periodic Ginzburg–Landau model for type-II superconductors. Zbl 0784.35107
Du, Qiang; Gunzburger, Max D.; Peterson, Janet S.
1993
Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors. Zbl 0792.65095
Du, Qiang; Gunzburger, Max; Peterson, Janet
1993
Simplified Ginzburg-Landau models for superconductivity valid for high kappa and high fields. Zbl 0835.35136
Chapman, S. J.; Du, Q.; Gunzburger, M. D.; Peterson, J. S.
1995
The dual variable method for finite element discretizations of Navier/Stokes equations. Zbl 0587.76045
Hall, C. A.; Peterson, J. S.; Porsching, T. A.; Sledge, F. R.
1985
Finite-element methods for the streamfunction-vorticity equations: Boundary-condition treatments and multiply connected domains. Zbl 0652.76020
Gunzburger, Max D.; Peterson, Janet S.
1988
Vortices in superconductors: Modelling and computer simulations. Zbl 0893.35123
Deang, Jennifer; Du, Qiang; Gunzburger, Max; Peterson, Janet
1997
The finite element method in anisotropic Sobolev spaces. Zbl 1064.65136
Eastham, J. F.; Peterson, J. S.
2004
Control of steady incompressible 2D channel flow. Zbl 0851.76072
Burkardt, John; Peterson, Janet
1995
Predictor and steplength selection in continuation methods for the Navier-Stokes equations. Zbl 0829.76049
Gunzburger, Max D.; Peterson, Janet S.
1991
On conforming mixed finite element methods for incompressible viscous flow problems. Zbl 0483.76038
Gunzburger, Max D.; Nicolaides, R. A.; Peterson, Janet S.
1982
The velocity tracking problem for MHD flows with distributed magnetic field controls. Zbl 1133.49003
Gunzburger, M.; Peterson, J.; Trenchea, C.
2007
On the Ginzburg-Landau equations of superconductivity. Zbl 0791.35130
Du, Q.; Gunzburger, M.; Peterson, J.
1992
Boundary optimal control for an electrically conducting fluid using boundary electrical potential controls. Zbl 0831.49007
Hou, L. Steven; Peterson, Janet S.
1995
Discretization of cost and sensitivities in shape optimization. Zbl 0924.76090
Burkardt, John; Gunzburger, Max; Peterson, Janet
1995
The Ginzburg-Landau equations for superconductivity with random fluctuations. Zbl 1172.35083
Fursikov, Andrei; Gunzburger, Max; Peterson, Janet
2009
Unified matching grids for multidomain multiphysics simulations. Zbl 1285.65081
Womeldorff, G.; Peterson, J.; Gunzburger, M.; Ringler, T.
2013
An application of mixed finite element methods to the stability of the incompressible Navier-Stokes equation. Zbl 0526.76039
Peterson, Janet S.
1983
Reduced-order modeling of complex systems with multiple system parameters. Zbl 1142.93306
Gunzburger, Max; Peterson, Janet
2006
Stabilized reduced order models for the advection-diffusion-reaction equation using operator splitting. Zbl 1443.65216
McLaughlin, Benjamin; Peterson, Janet; Ye, Ming
2016
Computational investigation of the effects of sample geometry on the superconducting-normal phase boundary and vortex-antivortex states in mesoscopic superconductors. Zbl 1364.82069
Kim, Sangbum; Gunzburger, Max; Peterson, Janet; Hu, Chia-Ren
2009
Stabilized reduced order models for the advection-diffusion-reaction equation using operator splitting. Zbl 1443.65216
McLaughlin, Benjamin; Peterson, Janet; Ye, Ming
2016
Unified matching grids for multidomain multiphysics simulations. Zbl 1285.65081
Womeldorff, G.; Peterson, J.; Gunzburger, M.; Ringler, T.
2013
The Ginzburg-Landau equations for superconductivity with random fluctuations. Zbl 1172.35083
Fursikov, Andrei; Gunzburger, Max; Peterson, Janet
2009
Computational investigation of the effects of sample geometry on the superconducting-normal phase boundary and vortex-antivortex states in mesoscopic superconductors. Zbl 1364.82069
Kim, Sangbum; Gunzburger, Max; Peterson, Janet; Hu, Chia-Ren
2009
Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data. Zbl 1121.65354
Gunzburger, Max D.; Peterson, Janet S.; Shadid, John N.
2007
The velocity tracking problem for MHD flows with distributed magnetic field controls. Zbl 1133.49003
Gunzburger, M.; Peterson, J.; Trenchea, C.
2007
Reduced-order modeling of complex systems with multiple system parameters. Zbl 1142.93306
Gunzburger, Max; Peterson, Janet
2006
On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations. Zbl 1064.76118
Gunzburger, M. D.; Ladyzhenskaya, O. A.; Peterson, J. S.
2004
The finite element method in anisotropic Sobolev spaces. Zbl 1064.65136
Eastham, J. F.; Peterson, J. S.
2004
A defect-correction method for the incompressible Navier-Stokes equations. Zbl 1074.76033
Layton, W.; Lee, H. K.; Peterson, J.
2002
Insensitive functionals, inconsistent gradients, spurious minima, and regularized functionals in flow optimization problems. Zbl 1003.76023
Burkardt, John; Gunzburger, Max; Peterson, Janet
2002
Numerical solution of the stationary Navier-Stokes equations using a multilevel finite element method. Zbl 0932.76033
Layton, W.; Lee, H. K.; Peterson, J.
1999
An optimization based domain decomposition method for partial differential equations. Zbl 0941.65123
Gunzburger, M. D.; Peterson, J. S.; Kwon, H.
1999
Vortices in superconductors: Modelling and computer simulations. Zbl 0893.35123
Deang, Jennifer; Du, Qiang; Gunzburger, Max; Peterson, Janet
1997
Simplified Ginzburg-Landau models for superconductivity valid for high kappa and high fields. Zbl 0835.35136
Chapman, S. J.; Du, Q.; Gunzburger, M. D.; Peterson, J. S.
1995
Control of steady incompressible 2D channel flow. Zbl 0851.76072
Burkardt, John; Peterson, Janet
1995
Boundary optimal control for an electrically conducting fluid using boundary electrical potential controls. Zbl 0831.49007
Hou, L. Steven; Peterson, Janet S.
1995
Discretization of cost and sensitivities in shape optimization. Zbl 0924.76090
Burkardt, John; Gunzburger, Max; Peterson, Janet
1995
A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows. Zbl 0807.76037
Layton, W.; Lenferink, H. W. J.; Peterson, J. S.
1994
Modeling and analysis of a periodic Ginzburg–Landau model for type-II superconductors. Zbl 0784.35107
Du, Qiang; Gunzburger, Max D.; Peterson, Janet S.
1993
Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors. Zbl 0792.65095
Du, Qiang; Gunzburger, Max; Peterson, Janet
1993
Analysis and approximation of the Ginzburg-Landau model of superconductivity. Zbl 0787.65091
Du, Qiang; Gunzburger, Max D.; Peterson, Janet S.
1992
On the Ginzburg-Landau equations of superconductivity. Zbl 0791.35130
Du, Q.; Gunzburger, M.; Peterson, J.
1992
On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics. Zbl 0731.76094
Gunzburger, Max D.; Meir, Amnon J.; Peterson, Janet S.
1991
Predictor and steplength selection in continuation methods for the Navier-Stokes equations. Zbl 0829.76049
Gunzburger, Max D.; Peterson, Janet S.
1991
The reduced basis method for incompressible viscous flow calculations. Zbl 0672.76034
Peterson, Janet S.
1989
On the finite element approximation of incompressible flows of an electrically conduction fluid. Zbl 0657.76086
Peterson, Janet S.
1988
On finite element approximations of the streamfunction-vorticity and velocity-vorticity equations. Zbl 0667.76044
Gunzburger, Max D.; Peterson, Janet S.
1988
Finite-element methods for the streamfunction-vorticity equations: Boundary-condition treatments and multiply connected domains. Zbl 0652.76020
Gunzburger, Max D.; Peterson, Janet S.
1988
The dual variable method for finite element discretizations of Navier/Stokes equations. Zbl 0587.76045
Hall, C. A.; Peterson, J. S.; Porsching, T. A.; Sledge, F. R.
1985
On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations. Zbl 0559.76026
Gunzburger, Max D.; Peterson, Janet S.
1983
On finite element approximations of problems having inhomogeneous essential boundary conditions. Zbl 0531.65056
Fix, George J.; Gunzburger, Max D.; Peterson, Janet S.
1983
An application of mixed finite element methods to the stability of the incompressible Navier-Stokes equation. Zbl 0526.76039
Peterson, Janet S.
1983
On conforming mixed finite element methods for incompressible viscous flow problems. Zbl 0483.76038
Gunzburger, Max D.; Nicolaides, R. A.; Peterson, Janet S.
1982
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Cited by 718 Authors

 36 He, Yinnian 21 Gunzburger, Max D. 17 Pan, Xingbin 17 Rozza, Gianluigi 17 Shang, Yueqiang 15 Du, Qiang 13 Patera, Anthony T. 13 Zhang, Guodong 12 Feng, Xinlong 11 Si, Zhiyong 10 Layton, William J. 10 Peterson, Janet S. 9 Hou, Yanren 8 Maday, Yvon 8 Néron, David 8 Quarteroni, Alfio M. 8 Su, Haiyan 7 Helffer, Bernard 7 Huang, Pengzhan 7 Ju, Lili 7 Lee, Hyesuk Kwon 7 Liu, Zuhan 7 Meir, Amnon J. 7 Nguyen, Ngoc Cuong 7 Ravindran, Sivaguru S. 7 Zhang, Yan 6 Alekseev, Gennady V. 6 An, Rong 6 Dong, Xiaojing 6 Fournais, Søren 6 Koko, Jonas 6 Trenchea, Catalin 5 Chinesta, Francisco 5 Ervin, Vincent J. 5 Gao, Huadong 5 Labovsky, Alexander E. 5 Ladevèze, Pierre 5 Li, Jian 5 Li, Yuan 5 Luo, Zhendong 5 Manzoni, Andrea 5 Schötzau, Dominik 5 Stabile, Giovanni 5 Sun, Weiwei 5 Veroy, Karen 5 Wang, Kun 4 Aftalion, Amandine 4 Ammar, Amine 4 Bochev, Pavel B. 4 Chen, Zhiming 4 Fernández, Miguel Ángel 4 He, Xiaoming 4 Hesthaven, Jan S. 4 Hoffmann, Karl-Heinz 4 Hu, Kaibo 4 Iliescu, Traian 4 Mao, Shipeng 4 Rebholz, Leo G. 4 Tang, Qi 4 Tao, Zhenzhen 4 Wang, Yunxia 4 Xu, Hui 4 Yang, Jinjin 4 Yang, Xiaofeng 4 Zhang, Qifeng 4 Zhao, Jianping 3 Adler, James H. 3 Aggul, Mustafa 3 Almog, Yaniv 3 Ballarin, Francesco 3 Bronsard, Lia 3 Cai, Xiao-Chuan 3 Chen, Yanlai 3 Codina, Ramon 3 Dede, Luca 3 Ding, Qianqian 3 Erkmen, Dilek 3 Huynh, Dinh Bao Phuong 3 Ito, Kazufumi 3 Kachmar, Ayman 3 Kim, Jaemyoung 3 Knezevic, David J. 3 Kuberry, Paul Allen 3 Lee, Jeehyun 3 Leygue, Adrien 3 Li, Buyang 3 Li, Lingxiao 3 Li, Xiao 3 Liu, Chun 3 Lu, Kening 3 MacLachlan, Scott P. 3 Morita, Yoshihisa 3 Nicolaides, Roy A. 3 Perot, Blair 3 Prud’homme, Christophe 3 Qin, Jin 3 Qiu, Hailong 3 Sandier, Etienne 3 Schmidt, Paul Günter 3 Sequeira, Adélia ...and 618 more Authors
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Cited in 129 Serials

 39 Journal of Computational Physics 37 Computers & Mathematics with Applications 37 Computer Methods in Applied Mechanics and Engineering 30 Journal of Scientific Computing 27 Applied Mathematics and Computation 24 Numerical Methods for Partial Differential Equations 20 Journal of Computational and Applied Mathematics 16 Journal of Mathematical Analysis and Applications 14 Applied Numerical Mathematics 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Advances in Computational Mathematics 11 Mathematics of Computation 10 Numerical Functional Analysis and Optimization 10 Numerische Mathematik 9 Computers and Fluids 9 Journal of Mathematical Physics 9 Physica D 9 SIAM Journal on Scientific Computing 8 International Journal for Numerical Methods in Engineering 8 SIAM Journal on Numerical Analysis 8 Computational Mechanics 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Archives of Computational Methods in Engineering 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics Letters 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Communications in Mathematical Physics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 International Journal of Computer Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Nonlinear Analysis. Theory, Methods & Applications 4 Applicable Analysis 4 Transactions of the American Mathematical Society 4 Calculus of Variations and Partial Differential Equations 3 International Journal for Numerical Methods in Fluids 3 Mathematical Methods in the Applied Sciences 3 Journal of Differential Equations 3 Mathematical and Computer Modelling 3 European Journal of Applied Mathematics 3 Numerical Algorithms 3 International Journal of Computational Fluid Dynamics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Science China. Mathematics 2 Reviews in Mathematical Physics 2 Journal of Functional Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Applied Mathematical Modelling 2 Physics of Fluids 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Abstract and Applied Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 Journal of Dynamical and Control Systems 2 Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics and Computing 2 Discrete and Continuous Dynamical Systems. Series S 2 S$$\vec{\text{e}}$$MA Journal 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 BIT 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Bulletin of the Iranian Mathematical Society 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Journal of Non-Newtonian Fluid Mechanics 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Computational Optimization and Applications 1 Applied Mathematics. Series B (English Edition) 1 Communications in Numerical Methods in Engineering 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Applied Clifford Algebras 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 Computing and Visualization in Science ...and 29 more Serials
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Cited in 29 Fields

 344 Numerical analysis (65-XX) 324 Fluid mechanics (76-XX) 257 Partial differential equations (35-XX) 95 Statistical mechanics, structure of matter (82-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 35 Mechanics of deformable solids (74-XX) 24 Optics, electromagnetic theory (78-XX) 11 Systems theory; control (93-XX) 10 Probability theory and stochastic processes (60-XX) 10 Operations research, mathematical programming (90-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Statistics (62-XX) 8 Quantum theory (81-XX) 7 Ordinary differential equations (34-XX) 7 Computer science (68-XX) 7 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Geophysics (86-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 2 Functional analysis (46-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX)