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## Dohrmann, Clark R.

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 Author ID: dohrmann.clark-r Published as: Dohrmann, Clark R.; Dohrmann, C. R.; Dohrmann, Clark; Dohrmann, C.
 Documents Indexed: 43 Publications since 1989, including 1 Book
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#### Co-Authors

 3 single-authored 14 Widlund, Olof B. 6 Key, Samuel W. 4 Heinstein, Martin W. 4 Mandel, Jan 4 Robinett, Rush D. III 3 Bochev, Pavel B. 3 Klawonn, Axel 2 Busby, Henry R. 2 Eisler, G. Richard 2 Reese, Garth 2 Sousedík, Bedřich 2 Walsh, Timothy F. 1 Bhardwaj, Manoj 1 Field, Richard V. jun. 1 Gartling, David K. 1 Gee, Michael W. 1 Grigoriu, Mircea D. 1 Gunzburger, Max D. 1 Jones, Andrea 1 Lehoucq, Richard B. 1 Oh, Duk-Soon 1 Parker, Gordon G. 1 Pechstein, Clemens 1 Pierson, Kendall H. 1 Rouse, Jerry 1 Scherzinger, W. M. 1 Stokes, David K. 1 Tezaur, Radek 1 Trujillo, David M. 1 Wall, Wolfgang A. 1 Wilson, David G. 1 Wilson, Riley 1 Witkowski, W. R. 1 Zampini, Stefano
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#### Serials

 7 International Journal for Numerical Methods in Engineering 6 SIAM Journal on Numerical Analysis 4 SIAM Journal on Scientific Computing 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Optimization Theory and Applications 2 Numerical Linear Algebra with Applications 2 Journal of Computational Acoustics 1 AIAA Journal 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Mathematics of Computation 1 Journal of Guidance, Control and Dynamics 1 Computing 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Mechanical Systems and Signal Processing 1 ETNA. Electronic Transactions on Numerical Analysis 1 Monte Carlo Methods and Applications 1 IFSR International Series on Systems Science and Engineering
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#### Fields

 27 Numerical analysis (65-XX) 13 Mechanics of deformable solids (74-XX) 9 Partial differential equations (35-XX) 6 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 1,050 times in 601 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
A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039
Dohrmann, Clark R.
2003
A stabilized finite element method for the Stokes problem based on polynomial pressure projections. Zbl 1060.76569
Dohrmann, Clark R.; Bochev, Pavel B.
2004
Convergence of a balancing domain decomposition by constraints and energy minimization. Zbl 1071.65558
Mandel, Jan; Dohrmann, Clark R.
2003
Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes. Zbl 0989.74067
Dohrmann, C. R.; Heinstein, M. W.; Jung, J.; Key, S. W.; Witkowski, W. R.
2000
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek
2005
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
2008
BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. Zbl 1380.65065
Oh, Duk-Soon; Widlund, Olof B.; Zampini, Stefano; Dohrmann, Clark R.
2018
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
An approximate BDDC preconditioner. Zbl 1199.65088
Dohrmann, C. R.
2007
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
2009
A uniform nodal strain tetrahedron with isochoric stabilization. Zbl 1183.74275
Gee, M. W.; Dohrmann, C. R.; Key, S. W.; Wall, W. A.
2009
Methods for connecting dissimilar three-dimensional finite element meshes. Zbl 0959.74064
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.
2000
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053
Dohrmann, Clark R.; Widlund, Olof B.
2010
Multispace and multilevel BDDC. Zbl 1163.65091
Mandel, Jan; Sousedík, Bedřich; Dohrmann, Clark R.
2008
A BDDC algorithm with deluxe scaling for three-dimensional $$H(\mathbf{curl})$$ problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
2016
A unified framework for adaptive BDDC. Zbl 1368.65043
Pechstein, Clemens; Dohrmann, Clark R.
2017
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
2008
A primal-based penalty preconditioner for elliptic saddle point systems. Zbl 1113.65107
Dohrmann, C. R.; Lehoucq, R. B.
2006
A method for connecting dissimilar finite element meshes in two dimensions. Zbl 0955.74059
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.
2000
An alternative coarse space for irregular subdomains and an overlapping Schwarz algorithm for scalar elliptic problems in the plane. Zbl 1261.65129
Dohrmann, Clark R.; Widlund, Olof B.
2012
An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
2012
A least-squares approach for uniform strain triangular and tetrahedral finite elements. Zbl 0912.73055
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.; Jung, J.
1998
A transition element for uniform strain hexahedral and tetrahedral finite elements. Zbl 0935.74065
Dohrmann, C. R.; Key, S. W.
1999
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
2017
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
2016
Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437
Dohrmann, Clark R.; Widlund, Olof B.
2014
A robust algorithm for finding the eigenvalues and eigenvectors of $$3 \times 3$$ symmetric matrices. Zbl 1197.65037
Scherzinger, W. M.; Dohrmann, C. R.
2008
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
2008
Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044
Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B.
2019
Efficient sequential quadratic programming implementations for equality-constrained discrete-time optimal control. Zbl 0896.49016
Dohrmann, C. R.; Robinett, R. D.
1997
Flexible robot dynamics and control. Zbl 1067.93045
Robinett, R. D. III; Feddema, J.; Eisler, G. R.; Dohrmann, C.; Parker, G. G.; Wilson, D. G.; Stokes, D.
2002
Quadratic finite elements and incompressible viscous flows. Zbl 1116.76053
Gartling, David K.; Dohrmann, Clark R.
2006
Interpolation operators for algebraic multigrid by local optimization. Zbl 1149.65021
Dohrmann, Clark R.
2007
Dynamic programming method for constrained discrete-time optimal control. Zbl 0946.90102
Dohrmann, C. R.; Robinett, R. D.
1999
A comparison of transient infinite elements and transient Kirchhoff integral methods for far field acoustic analysis. Zbl 1360.74145
Walsh, Timothy F.; Jones, Andrea; Bhardwaj, Manoj; Dohrmann, Clark; Reese, Garth; Wilson, Riley
2013
Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044
Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B.
2019
BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. Zbl 1380.65065
Oh, Duk-Soon; Widlund, Olof B.; Zampini, Stefano; Dohrmann, Clark R.
2018
A unified framework for adaptive BDDC. Zbl 1368.65043
Pechstein, Clemens; Dohrmann, Clark R.
2017
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
2017
A BDDC algorithm with deluxe scaling for three-dimensional $$H(\mathbf{curl})$$ problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
2016
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
2016
Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437
Dohrmann, Clark R.; Widlund, Olof B.
2014
A comparison of transient infinite elements and transient Kirchhoff integral methods for far field acoustic analysis. Zbl 1360.74145
Walsh, Timothy F.; Jones, Andrea; Bhardwaj, Manoj; Dohrmann, Clark; Reese, Garth; Wilson, Riley
2013
An alternative coarse space for irregular subdomains and an overlapping Schwarz algorithm for scalar elliptic problems in the plane. Zbl 1261.65129
Dohrmann, Clark R.; Widlund, Olof B.
2012
An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
2012
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053
Dohrmann, Clark R.; Widlund, Olof B.
2010
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
2009
A uniform nodal strain tetrahedron with isochoric stabilization. Zbl 1183.74275
Gee, M. W.; Dohrmann, C. R.; Key, S. W.; Wall, W. A.
2009
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
2008
Multispace and multilevel BDDC. Zbl 1163.65091
Mandel, Jan; Sousedík, Bedřich; Dohrmann, Clark R.
2008
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
2008
A robust algorithm for finding the eigenvalues and eigenvectors of $$3 \times 3$$ symmetric matrices. Zbl 1197.65037
Scherzinger, W. M.; Dohrmann, C. R.
2008
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
2008
An approximate BDDC preconditioner. Zbl 1199.65088
Dohrmann, C. R.
2007
Interpolation operators for algebraic multigrid by local optimization. Zbl 1149.65021
Dohrmann, Clark R.
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
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
A primal-based penalty preconditioner for elliptic saddle point systems. Zbl 1113.65107
Dohrmann, C. R.; Lehoucq, R. B.
2006
Quadratic finite elements and incompressible viscous flows. Zbl 1116.76053
Gartling, David K.; Dohrmann, Clark R.
2006
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek
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 preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039
Dohrmann, Clark R.
2003
Convergence of a balancing domain decomposition by constraints and energy minimization. Zbl 1071.65558
Mandel, Jan; Dohrmann, Clark R.
2003
Flexible robot dynamics and control. Zbl 1067.93045
Robinett, R. D. III; Feddema, J.; Eisler, G. R.; Dohrmann, C.; Parker, G. G.; Wilson, D. G.; Stokes, D.
2002
Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes. Zbl 0989.74067
Dohrmann, C. R.; Heinstein, M. W.; Jung, J.; Key, S. W.; Witkowski, W. R.
2000
Methods for connecting dissimilar three-dimensional finite element meshes. Zbl 0959.74064
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.
2000
A method for connecting dissimilar finite element meshes in two dimensions. Zbl 0955.74059
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.
2000
A transition element for uniform strain hexahedral and tetrahedral finite elements. Zbl 0935.74065
Dohrmann, C. R.; Key, S. W.
1999
Dynamic programming method for constrained discrete-time optimal control. Zbl 0946.90102
Dohrmann, C. R.; Robinett, R. D.
1999
A least-squares approach for uniform strain triangular and tetrahedral finite elements. Zbl 0912.73055
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.; Jung, J.
1998
Efficient sequential quadratic programming implementations for equality-constrained discrete-time optimal control. Zbl 0896.49016
Dohrmann, C. R.; Robinett, R. D.
1997
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#### Cited by 814 Authors

 28 Li, Jian 26 Klawonn, Axel 24 Liu, Gui-Rong 22 Rheinbach, Oliver 19 He, Yinnian 16 Badia, Santiago 16 Chen, Zhangxin 16 Dohrmann, Clark R. 16 Widlund, Olof B. 15 Huang, Pengzhan 15 Zampini, Stefano 14 Gil, Antonio J. 14 Heinlein, Alexander 13 Feng, Xinlong 13 Kim, Hyea Hyun 13 Pavarino, Luca Franco 12 Bonet, Javier 11 Mandel, Jan 11 Nguyen-Thoi, Trung 11 Nguyen-Xuan, Hung 10 Chung, Tsz Shun Eric 10 Lanser, Martin 10 Scacchi, Simone 9 Feng, Minfu 9 Lee, Chun Hean 9 Mei, Liquan 9 Šístek, Jakub 9 Sousedík, Bedřich 8 Lamichhane, Bishnu Prasad 8 Martín, Alberto F. 8 Tu, Xuemin 8 Wang, Junxian 8 Zheng, Haibiao 7 Hou, Yanren 7 Krysl, Petr 7 Zhang, Zhiqian 6 An, Rong 6 Barrenechea, Gabriel R. 6 Bochev, Pavel B. 6 Borja, Ronaldo I. 6 Gosselet, Pierre 6 Li, Kaitai 6 Scheichl, Robert 6 Zhao, Xin 5 Beirão da Veiga, Lourenço 5 Burda, Pavel 5 Calvo, Juan G. 5 Cervera, Miguel 5 Chiumenti, Michele 5 Lee, Chak Shing 5 Li, Minghao 5 Oñate Ibáñez de Navarra, Eugenio 5 Ortigosa, Rogelio 5 Pechstein, Clemens 5 Principe, Javier R. 5 Shang, Yueqiang 5 Song, Lina 5 Spillane, Nicole 5 Weng, Zhifeng 4 Aguirre, Miquel 4 Armentano, María Gabriela 4 Castellazzi, Giovanni 4 Chen, Gang 4 Chen, Lei 4 Huang, Na 4 Jia, Hongen 4 Jiang, Chen 4 Jing, Feifei 4 Kim, Hyun-Gyu 4 Kolev, Tzanio V. 4 Kuhn, Martin 4 Lee, Chang-Ock 4 Li, Jing 4 Li, Yuan 4 Ma, Changfeng 4 MacLachlan, Scott P. 4 Nataf, Frédéric 4 Noble, David R. 4 Oliver, Javier 4 Qiu, Hailong 4 Sarkis, Marcus V. 4 Shi, Dongyang 4 Shi, Feng 4 Vassilevski, Panayot Spirov 4 Weber, Janine 3 Betsch, Peter 3 Brenner, Susanne Cecelia 3 Bucher, Christian G. 3 Carbonell, Josep Maria 3 Čermák, Martin 3 Choo, Jinhyun 3 Codina, Ramon 3 Dobrev, Veselin A. 3 Dolean, Victorita 3 Galvis, Juan 3 Gander, Martin Jakob 3 Ghavamian, Ataollah 3 Han, Xu 3 He, Yunhui 3 Herrera, Ismael ...and 714 more Authors
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#### Cited in 88 Serials

 96 Computer Methods in Applied Mechanics and Engineering 45 International Journal for Numerical Methods in Engineering 37 SIAM Journal on Scientific Computing 27 Computers & Mathematics with Applications 26 Journal of Computational and Applied Mathematics 23 Computational Mechanics 17 Applied Numerical Mathematics 16 Journal of Computational Physics 14 Numerische Mathematik 13 Applied Mathematics and Computation 13 Numerical Methods for Partial Differential Equations 10 Numerical Linear Algebra with Applications 10 Engineering Analysis with Boundary Elements 9 International Journal for Numerical Methods in Fluids 9 ETNA. Electronic Transactions on Numerical Analysis 8 Computing 8 Journal of Scientific Computing 8 International Journal of Computational Methods 7 Applied Mathematical Modelling 7 Advances in Computational Mathematics 7 Mathematical Problems in Engineering 7 International Journal for Numerical Methods in Biomedical Engineering 6 Computers and Fluids 6 Mathematics and Computers in Simulation 6 SIAM Journal on Numerical Analysis 6 Applied Mathematics and Mechanics. (English Edition) 6 Applications of Mathematics 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Numerical Algorithms 6 Archives of Computational Methods in Engineering 5 Mathematics of Computation 5 Abstract and Applied Analysis 5 Engineering Computations 4 Communications in Numerical Methods in Engineering 4 Computational Geosciences 3 Calcolo 3 SIAM Journal on Matrix Analysis and Applications 3 International Journal of Computer Mathematics 3 Computational Methods in Applied Mathematics 3 Acta Numerica 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Linear Algebra and its Applications 2 Computational and Applied Mathematics 2 European Journal of Mechanics. A. Solids 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Difference Equations 2 International Journal of Numerical Analysis and Modeling 2 Journal of Computational Acoustics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Acta Mechanica Sinica 2 Advances in Numerical Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Chaos, Solitons and Fractals 1 BIT 1 Journal of Optimization Theory and Applications 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Chinese Annals of Mathematics. Series B 1 Finite Elements in Analysis and Design 1 Journal of Complexity 1 Applied Mathematics Letters 1 Computational Optimization and Applications 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 Nonlinear Dynamics 1 Mathematical Methods of Operations Research 1 European Journal of Mechanics. B. Fluids 1 The ANZIAM Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 Structural and Multidisciplinary Optimization 1 Boundary Value Problems 1 Mathematics in Computer Science 1 Frontiers of Mathematics in China 1 Advances in Mathematical Physics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 ISRN Applied Mathematics 1 ISRN Computational Mathematics 1 East Asian Journal on Applied Mathematics 1 Results in Applied Mathematics
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#### Cited in 24 Fields

 454 Numerical analysis (65-XX) 219 Fluid mechanics (76-XX) 193 Mechanics of deformable solids (74-XX) 136 Partial differential equations (35-XX) 19 Biology and other natural sciences (92-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 8 Computer science (68-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Optics, electromagnetic theory (78-XX) 6 Operations research, mathematical programming (90-XX) 4 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX)