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Author ID: dohrmann.clark-r Recent zbMATH articles by "Dohrmann, Clark R."
Published as: Dohrmann, Clark R.; Dohrmann, C. R.; Dohrmann, Clark; Dohrmann, C.
Documents Indexed: 46 Publications since 1989, including 1 Book
Co-Authors: 36 Co-Authors with 42 Joint Publications
975 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 1,388 times in 789 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.
240
2006
A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039
Dohrmann, Clark R.
177
2003
A stabilized finite element method for the Stokes problem based on polynomial pressure projections. Zbl 1060.76569
Dohrmann, Clark R.; Bochev, Pavel B.
149
2004
Convergence of a balancing domain decomposition by constraints and energy minimization. Zbl 1071.65558
Mandel, Jan; Dohrmann, Clark R.
105
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.
94
2000
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek
94
2005
A unified framework for adaptive BDDC. Zbl 1368.65043
Pechstein, Clemens; Dohrmann, Clark R.
40
2017
A computational study of stabilized, low-order \(C^{0}\) finite element approximations of Darcy equations. Zbl 1177.76191
Bochev, Pavel B.; Dohrmann, Clark R.
39
2006
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
38
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.
37
2018
A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
36
2016
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
33
2009
Multispace and multilevel BDDC. Zbl 1163.65091
Mandel, Jan; Sousedík, Bedřich; Dohrmann, Clark R.
30
2008
A uniform nodal strain tetrahedron with isochoric stabilization. Zbl 1183.74275
Gee, M. W.; Dohrmann, C. R.; Key, S. W.; Wall, W. A.
29
2009
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053
Dohrmann, Clark R.; Widlund, Olof B.
27
2010
An approximate BDDC preconditioner. Zbl 1199.65088
Dohrmann, C. R.
26
2007
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
25
2008
Methods for connecting dissimilar three-dimensional finite element meshes. Zbl 0959.74064
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.
23
2000
A method for connecting dissimilar finite element meshes in two dimensions. Zbl 0955.74059
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.
22
2000
A primal-based penalty preconditioner for elliptic saddle point systems. Zbl 1113.65107
Dohrmann, C. R.; Lehoucq, R. B.
16
2006
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.
14
2012
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
13
2017
An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
12
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.
10
1998
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
10
2016
A transition element for uniform strain hexahedral and tetrahedral finite elements. Zbl 0935.74065
Dohrmann, C. R.; Key, S. W.
9
1999
A robust algorithm for finding the eigenvalues and eigenvectors of \(3 \times 3\) symmetric matrices. Zbl 1197.65037
Scherzinger, W. M.; Dohrmann, C. R.
7
2008
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
5
2008
Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437
Dohrmann, Clark R.; Widlund, Olof B.
5
2014
On multilevel BDDC. Zbl 1142.65457
Mandel, Jan; Sousedik, Bedřich; Dohrmann, Clark R.
3
2008
Dynamic programming method for constrained discrete-time optimal control. Zbl 0946.90102
Dohrmann, C. R.; Robinett, R. D.
3
1999
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.
3
2002
Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044
Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B.
3
2019
Quadratic finite elements and incompressible viscous flows. Zbl 1116.76053
Gartling, David K.; Dohrmann, Clark R.
2
2006
Efficient sequential quadratic programming implementations for equality-constrained discrete-time optimal control. Zbl 0896.49016
Dohrmann, C. R.; Robinett, R. D.
2
1997
Interpolation operators for algebraic multigrid by local optimization. Zbl 1149.65021
Dohrmann, Clark R.
2
2007
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
1
2013
Spectral equivalence of low-order discretizations for high-order \(H(\mathrm{curl})\) and \(H(\div)\) spaces. Zbl 1483.65180
Dohrmann, Clark R.
1
2021
An algorithm for on-the-fly generation of samples of non-stationary Gaussian processes based on a sampling theorem. Zbl 1322.65026
Field, Richard V. jun.; Grigoriu, Mircea; Dohrmann, Clark R.
1
2013
Low-order preconditioning for the high-order finite element de Rham complex. Zbl 1525.65127
Pazner, Will; Kolev, Tzanio; Dohrmann, Clark R.
1
2023
Small coarse spaces for overlapping Schwarz algorithms with irregular subdomains. Zbl 1450.65177
Widlund, Olof B.; Dohrmann, Clark R.
1
2018
Low-order preconditioning for the high-order finite element de Rham complex. Zbl 1525.65127
Pazner, Will; Kolev, Tzanio; Dohrmann, Clark R.
1
2023
Spectral equivalence of low-order discretizations for high-order \(H(\mathrm{curl})\) and \(H(\div)\) spaces. Zbl 1483.65180
Dohrmann, Clark R.
1
2021
Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044
Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B.
3
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.
37
2018
Small coarse spaces for overlapping Schwarz algorithms with irregular subdomains. Zbl 1450.65177
Widlund, Olof B.; Dohrmann, Clark R.
1
2018
A unified framework for adaptive BDDC. Zbl 1368.65043
Pechstein, Clemens; Dohrmann, Clark R.
40
2017
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
13
2017
A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
36
2016
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
10
2016
Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437
Dohrmann, Clark R.; Widlund, Olof B.
5
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
1
2013
An algorithm for on-the-fly generation of samples of non-stationary Gaussian processes based on a sampling theorem. Zbl 1322.65026
Field, Richard V. jun.; Grigoriu, Mircea; Dohrmann, Clark R.
1
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.
14
2012
An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
12
2012
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053
Dohrmann, Clark R.; Widlund, Olof B.
27
2010
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
33
2009
A uniform nodal strain tetrahedron with isochoric stabilization. Zbl 1183.74275
Gee, M. W.; Dohrmann, C. R.; Key, S. W.; Wall, W. A.
29
2009
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
38
2008
Multispace and multilevel BDDC. Zbl 1163.65091
Mandel, Jan; Sousedík, Bedřich; Dohrmann, Clark R.
30
2008
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
25
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.
7
2008
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
5
2008
On multilevel BDDC. Zbl 1142.65457
Mandel, Jan; Sousedik, Bedřich; Dohrmann, Clark R.
3
2008
An approximate BDDC preconditioner. Zbl 1199.65088
Dohrmann, C. R.
26
2007
Interpolation operators for algebraic multigrid by local optimization. Zbl 1149.65021
Dohrmann, Clark R.
2
2007
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
240
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.
39
2006
A primal-based penalty preconditioner for elliptic saddle point systems. Zbl 1113.65107
Dohrmann, C. R.; Lehoucq, R. B.
16
2006
Quadratic finite elements and incompressible viscous flows. Zbl 1116.76053
Gartling, David K.; Dohrmann, Clark R.
2
2006
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek
94
2005
A stabilized finite element method for the Stokes problem based on polynomial pressure projections. Zbl 1060.76569
Dohrmann, Clark R.; Bochev, Pavel B.
149
2004
A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039
Dohrmann, Clark R.
177
2003
Convergence of a balancing domain decomposition by constraints and energy minimization. Zbl 1071.65558
Mandel, Jan; Dohrmann, Clark R.
105
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.
3
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.
94
2000
Methods for connecting dissimilar three-dimensional finite element meshes. Zbl 0959.74064
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.
23
2000
A method for connecting dissimilar finite element meshes in two dimensions. Zbl 0955.74059
Dohrmann, C. R.; Key, S. W.; Heinstein, M. W.
22
2000
A transition element for uniform strain hexahedral and tetrahedral finite elements. Zbl 0935.74065
Dohrmann, C. R.; Key, S. W.
9
1999
Dynamic programming method for constrained discrete-time optimal control. Zbl 0946.90102
Dohrmann, C. R.; Robinett, R. D.
3
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.
10
1998
Efficient sequential quadratic programming implementations for equality-constrained discrete-time optimal control. Zbl 0896.49016
Dohrmann, C. R.; Robinett, R. D.
2
1997
all top 5

Cited by 1,104 Authors

30 Klawonn, Axel
30 Li, Jian
28 Rheinbach, Oliver
24 Liu, Gui-Rong
23 He, Yinnian
20 Huang, Pengzhan
20 Pavarino, Luca Franco
19 Heinlein, Alexander
19 Scacchi, Simone
19 Widlund, Olof B.
18 Badia, Santiago
18 Feng, Xinlong
18 Gil, Antonio J.
17 Chen, Zhangxin
17 Dohrmann, Clark R.
17 Zampini, Stefano
17 Zhang, Tong
15 Bonet, Javier
15 Kim, Hyea Hyun
13 Feng, Minfu
13 Lee, Chun Hean
12 Lanser, Martin
12 Mandel, Jan
12 Sousedík, Bedřich
12 Tu, Xuemin
11 Nguyen-Thoi, Trung
11 Nguyen-Xuan, Hung
10 Chung, Tsz Shun Eric
10 Martín, Alberto F.
10 Shang, Yueqiang
10 Šístek, Jakub
10 Wang, Junxian
9 Lamichhane, Bishnu Prasad
9 Mei, Liquan
8 Barrenechea, Gabriel R.
8 Gosselet, Pierre
8 Pechstein, Clemens
8 Zheng, Haibiao
7 An, Rong
7 Bochev, Pavel B.
7 Borja, Ronaldo I.
7 Hou, Yanren
7 Krysl, Petr
7 Oñate Ibáñez de Navarra, Eugenio
7 Scheichl, Robert
7 Zhang, Zhiqian
6 Jing, Feifei
6 Li, Kaitai
6 Li, Yuan
6 Ortigosa, Rogelio
6 Park, Kwang-Chun
6 Sarkis, Marcus V.
6 Zhao, Xin
5 Beirão da Veiga, Lourenço
5 Burda, Pavel
5 Calvo, Juan G.
5 Cervera, Miguel
5 Chen, Gang
5 Chiumenti, Michele
5 Jia, Hongen
5 Jiang, Chen
5 Kolev, Tzanio V.
5 Lee, Chak Shing
5 Lee, Chang-Ock
5 Li, Minghao
5 Principe, Javier R.
5 Shi, Feng
5 Shu, Shi
5 Song, Lina
5 Spillane, Nicole
5 Takacs, Stefan
5 Vassilevski, Panayot Spirov
5 Weber, Janine
5 Weng, Zhifeng
4 Aguirre, Miquel
4 Armentano, María Gabriela
4 Carbonell, Josep Maria
4 Castellazzi, Giovanni
4 Chen, Chuanjun
4 Chen, Lei
4 Choo, Jinhyun
4 Chu, Xiaochen
4 Dolean, Victorita
4 El-Amrani, Mofdi
4 Galvis, Juan
4 Gander, Martin Jakob
4 Ghavamian, Ataollah
4 Han, Weimin
4 He, Yunhui
4 Hu, Qiya
4 Huang, Na
4 Kim, Hyun-Gyu
4 Knepper, Jascha
4 Kühn, Martin Joachim
4 Li, Jing
4 Liu, Demin
4 Ma, Changfeng
4 MacLachlan, Scott P.
4 Monica Huynh, Ngoc Mai
4 Nataf, Frédéric
...and 1,004 more Authors
all top 5

Cited in 110 Serials

133 Computer Methods in Applied Mechanics and Engineering
57 International Journal for Numerical Methods in Engineering
49 SIAM Journal on Scientific Computing
35 Computers & Mathematics with Applications
30 Journal of Computational and Applied Mathematics
29 Computational Mechanics
23 Journal of Computational Physics
22 Applied Numerical Mathematics
18 Numerical Methods for Partial Differential Equations
17 Numerische Mathematik
16 Applied Mathematics and Computation
14 Journal of Scientific Computing
13 Engineering Analysis with Boundary Elements
10 Numerical Linear Algebra with Applications
10 ETNA. Electronic Transactions on Numerical Analysis
9 International Journal for Numerical Methods in Fluids
9 SIAM Journal on Numerical Analysis
9 Numerical Algorithms
8 Computing
8 International Journal of Computational Methods
7 Computers and Fluids
7 Mathematics and Computers in Simulation
7 Applications of Mathematics
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Applied Mathematical Modelling
7 Advances in Computational Mathematics
7 Mathematical Problems in Engineering
7 International Journal for Numerical Methods in Biomedical Engineering
6 Applied Mathematics and Mechanics. (English Edition)
6 Archives of Computational Methods in Engineering
6 Computational Methods in Applied Mathematics
6 Advances in Applied Mathematics and Mechanics
5 Mathematics of Computation
5 International Journal of Computer Mathematics
5 Abstract and Applied Analysis
5 Engineering Computations
5 International Journal of Numerical Analysis and Modeling
4 Mathematical Methods in the Applied Sciences
4 Calcolo
4 Communications in Numerical Methods in Engineering
4 Computational Geosciences
4 East Asian Journal on Applied Mathematics
3 Computer Physics Communications
3 SIAM Journal on Matrix Analysis and Applications
3 International Journal of Computational Fluid Dynamics
3 Acta Numerica
3 Boundary Value Problems
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Applicable Analysis
2 Journal of Mathematical Analysis and Applications
2 BIT
2 Linear Algebra and its Applications
2 Computational and Applied Mathematics
2 Computing and Visualization in Science
2 Taiwanese Journal of Mathematics
2 European Journal of Mechanics. A. Solids
2 Discrete and Continuous Dynamical Systems. Series B
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Advances in Difference Equations
2 Journal of Computational Acoustics
2 Acta Mechanica Sinica
2 Communications in Computational Physics
2 Advances in Numerical Analysis
2 Journal of the Korean Society for Industrial and Applied Mathematics
2 Journal of Computational Physics: X
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 International Journal of Control
1 International Journal of Engineering Science
1 International Journal of Solids and Structures
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Chaos, Solitons and Fractals
1 Journal of Optimization Theory and Applications
1 Meccanica
1 Numerical Functional Analysis and Optimization
1 Chinese Annals of Mathematics. Series B
1 Journal of Computational Mathematics
1 Finite Elements in Analysis and Design
1 Journal of Complexity
1 Applied Mathematics Letters
1 Computational Optimization and Applications
1 Nonlinear Dynamics
1 Vietnam Journal of Mathematics
1 Mathematical Methods of Operations Research
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Journal of Mathematical Fluid Mechanics
1 European Journal of Mechanics. B. Fluids
1 Methodology and Computing in Applied Probability
1 Optimization and Engineering
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 The ANZIAM Journal
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 Journal of Industrial and Management Optimization
1 GAMM-Mitteilungen
...and 10 more Serials

Citations by Year