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Gockenbach, Mark S.

Author ID: gockenbach.mark-s Recent zbMATH articles by "Gockenbach, Mark S."
Published as: Gockenbach, Mark S.; Gockenbach, M. S.; Gockenbach, Mark
Documents Indexed: 33 Publications since 1995, including 5 Books
Co-Authors: 19 Co-Authors with 25 Joint Publications
690 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

25 Publications have been cited 247 times in 148 Documents Cited by Year
Understanding and implementing the finite element method. Zbl 1105.65112
Gockenbach, Mark S.
54
2006
An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021
Gockenbach, Mark S.; Khan, Akhtar A.
48
2007
An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048
Gockenbach, Mark S.; Khan, Akhtar A.
24
2009
An equation error approach for the elasticity imaging inverse problem for predicting tumor location. Zbl 1352.92087
Crossen, E.; Gockenbach, M. S.; Jadamba, B.; Khan, A. A.; Winkler, B.
18
2014
Identification of Lamé parameters in linear elasticity: a fixed point approach. Zbl 1085.35127
Gockenbach, Mark S.; Khan, Akhtar A.
18
2005
Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters. Zbl 1258.74087
Gockenbach, M. S.; Jadamba, B.; Khan, A. A.
16
2008
Numerical estimation of discontinuous coefficients by the method of equation error. Zbl 1111.35110
Gockenbach, M. S.; Jadamba, B.; Khan, A. A.
11
2006
Stability and error estimates for an equation error method for elliptic equations. Zbl 1250.35179
Al-Jamal, Mohammad F.; Gockenbach, Mark S.
9
2012
Linear inverse problems and Tikhonov regularization. Zbl 1367.65085
Gockenbach, Mark S.
7
2016
Recovering planar Lamé moduli from a single-traction experiment. Zbl 1001.74512
Cox, Steven J.; Gockenbach, Mark
6
1997
A variational method for recovering planar Lamé moduli. Zbl 1024.74007
Chen, Jun; Gockenbach, Mark S.
5
2002
Proximal methods for the elastography inverse problem of tumor identification using an equation error approach. Zbl 1319.35297
Gockenbach, Mark S.; Jadamba, Baasansuren; Khan, Akhtar A.; Tammer, Christiane; Winkler, Brian
5
2015
Partial differential equations. Analytical and numerical methods. 2nd ed. Zbl 1410.65002
Gockenbach, Mark S.
5
2011
Optimal signal sets for non-Gaussian detectors. Zbl 1032.90531
Gockenbach, Mark S.; Kearsley, Anthony J.
3
1999
Partial differential equations. Analytical and numerical methods. With a foreword by William Symes. Zbl 1022.35001
Gockenbach, Mark S.
3
2002
The output least-squares approach to estimating Lamé moduli. Zbl 1126.35096
Gockenbach, Mark S.
3
2007
Finite-dimensional linear algebra. Zbl 1202.15002
Gockenbach, Mark S.
3
2010
Efficient and automatic implementation of the adjoint state method. Zbl 1070.65560
Gockenbach, Mark S.; Reynolds, Daniel R.; Shen, Peng; Symes, William W.
2
2002
Smoothing via elliptic operators with application to edge detection. Zbl 07039137
Al-Jamal, Mohammad F.; Alomari, A. K.; Gockenbach, Mark S.
1
2018
On the convergence of a heuristic parameter choice rule for Tikhonov regularization. Zbl 1398.65118
Gockenbach, Mark S.; Gorgin, Elaheh
1
2018
Approximating the generalized singular value expansion. Zbl 1397.65084
Gockenbach, Mark S.; Roberts, Matthew J.
1
2018
An infeasible point method for minimizing the Lennard-Jones potential. Zbl 0898.90121
Gockenbach, Mark S.; Kearsley, Anthony J.; Symes, William W.
1
1997
Generalizing the GSVD. Zbl 1347.65100
Gockenbach, Mark S.
1
2016
A convex objective functional for elliptic inverse problems. Zbl 1158.35103
Gockenbach, M. S.; Khan, A. A.
1
2006
Newton’s law of heating and the heat equation. Zbl 1185.35117
Gockenbach, Mark; Schmidtke, Kristin
1
2009
Smoothing via elliptic operators with application to edge detection. Zbl 07039137
Al-Jamal, Mohammad F.; Alomari, A. K.; Gockenbach, Mark S.
1
2018
On the convergence of a heuristic parameter choice rule for Tikhonov regularization. Zbl 1398.65118
Gockenbach, Mark S.; Gorgin, Elaheh
1
2018
Approximating the generalized singular value expansion. Zbl 1397.65084
Gockenbach, Mark S.; Roberts, Matthew J.
1
2018
Linear inverse problems and Tikhonov regularization. Zbl 1367.65085
Gockenbach, Mark S.
7
2016
Generalizing the GSVD. Zbl 1347.65100
Gockenbach, Mark S.
1
2016
Proximal methods for the elastography inverse problem of tumor identification using an equation error approach. Zbl 1319.35297
Gockenbach, Mark S.; Jadamba, Baasansuren; Khan, Akhtar A.; Tammer, Christiane; Winkler, Brian
5
2015
An equation error approach for the elasticity imaging inverse problem for predicting tumor location. Zbl 1352.92087
Crossen, E.; Gockenbach, M. S.; Jadamba, B.; Khan, A. A.; Winkler, B.
18
2014
Stability and error estimates for an equation error method for elliptic equations. Zbl 1250.35179
Al-Jamal, Mohammad F.; Gockenbach, Mark S.
9
2012
Partial differential equations. Analytical and numerical methods. 2nd ed. Zbl 1410.65002
Gockenbach, Mark S.
5
2011
Finite-dimensional linear algebra. Zbl 1202.15002
Gockenbach, Mark S.
3
2010
An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048
Gockenbach, Mark S.; Khan, Akhtar A.
24
2009
Newton’s law of heating and the heat equation. Zbl 1185.35117
Gockenbach, Mark; Schmidtke, Kristin
1
2009
Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters. Zbl 1258.74087
Gockenbach, M. S.; Jadamba, B.; Khan, A. A.
16
2008
An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021
Gockenbach, Mark S.; Khan, Akhtar A.
48
2007
The output least-squares approach to estimating Lamé moduli. Zbl 1126.35096
Gockenbach, Mark S.
3
2007
Understanding and implementing the finite element method. Zbl 1105.65112
Gockenbach, Mark S.
54
2006
Numerical estimation of discontinuous coefficients by the method of equation error. Zbl 1111.35110
Gockenbach, M. S.; Jadamba, B.; Khan, A. A.
11
2006
A convex objective functional for elliptic inverse problems. Zbl 1158.35103
Gockenbach, M. S.; Khan, A. A.
1
2006
Identification of Lamé parameters in linear elasticity: a fixed point approach. Zbl 1085.35127
Gockenbach, Mark S.; Khan, Akhtar A.
18
2005
A variational method for recovering planar Lamé moduli. Zbl 1024.74007
Chen, Jun; Gockenbach, Mark S.
5
2002
Partial differential equations. Analytical and numerical methods. With a foreword by William Symes. Zbl 1022.35001
Gockenbach, Mark S.
3
2002
Efficient and automatic implementation of the adjoint state method. Zbl 1070.65560
Gockenbach, Mark S.; Reynolds, Daniel R.; Shen, Peng; Symes, William W.
2
2002
Optimal signal sets for non-Gaussian detectors. Zbl 1032.90531
Gockenbach, Mark S.; Kearsley, Anthony J.
3
1999
Recovering planar Lamé moduli from a single-traction experiment. Zbl 1001.74512
Cox, Steven J.; Gockenbach, Mark
6
1997
An infeasible point method for minimizing the Lennard-Jones potential. Zbl 0898.90121
Gockenbach, Mark S.; Kearsley, Anthony J.; Symes, William W.
1
1997
all top 5

Cited by 278 Authors

31 Khan, Akhtar Ali
21 Jadamba, Baasansuren
18 Sama, Miguel
10 Gockenbach, Mark S.
9 Tammer, Christiane
7 Winkler, Brian C.
5 Raciti, Fabio
4 Gwinner, Joachim
4 Oberai, Assad A.
4 Quyen, Tran Nhan Tam
4 Vadillo, Fernando
3 Liu, Tao
3 Migórski, Stanisław
3 Petra, Noemi
3 Richards, Michael
3 Zeng, Biao
2 Aquino, Wilkins
2 Barbone, Paul E.
2 Basaran, Osman A.
2 Blaheta, Radim
2 Bonnet, Marc
2 Bucataru, Mihai
2 de la Hoz, Francisco
2 Đinh Nho Hào
2 Doubova, Anna
2 Fang, Liang
2 Garg, Vishrut
2 Habibi, Noora
2 Haslinger, Jaroslav
2 Hinze, Michael
2 Jannesari, Zahra
2 Kähler, Ralf
2 Liu, Jie
2 Liu, Songshu
2 Marin, Liviu
2 Mesforush, Ali
2 Meyers, Johan
2 Petra, Cosmin G.
2 Roberts, Matthew Jake
2 Rodrigo, Carmen
2 Starkloff, Hans-Jörg
2 Tatari, Mehdi
2 Vandewalle, Stefan G.
2 Vatulyan, Aleksandr Ovanesovich
2 Yang, Yidan
2 Zhao, Jingjun
1 Abbasbandy, Saeid
1 Abdelhamid, Talaat
1 Aceves-Sánchez, Pedro
1 Al-Jamal, Mohammad F.
1 Alam, Muhammad Mahbub
1 Albocher, Uri
1 Ali, Baharin
1 Alomari, Abedel-Karrem
1 Ambati, Marreddy
1 Antoni, Jérôme
1 Appadu, A. R.
1 Appelö, Daniel
1 Aransay, Jesús
1 Aubry, Denis
1 Awasthi, Chaitanya
1 Aymard, Benjamin
1 Babaniyi, Olalekan A.
1 Baiz, Othmane
1 Banerjee, Biswanath
1 Bangura, Raymond Manna
1 Baniabedalruhman, Ahmad
1 Bauer, Daniel J.
1 Benaissa, Hicham
1 Bernardi, Mara S.
1 Birkeland, Rolf G.
1 Bourguignon, Sébastien
1 Boutaayamou, Idriss
1 Brunk, Aaron
1 Bukshtynov, Vladislav
1 Cahill, Nathan D.
1 Calvetti, Daniela
1 Carey, Michelle
1 Casteilla, Louis
1 Caya, P.
1 Cengizci, Aslıhan Dursun
1 Cengizci, Süleyman
1 Červený, Jakub
1 Chen, Fuchen
1 Chen, Rongliang
1 Cheng, Xiaoliang
1 Chō, Muneo
1 Choi, Youngsoo
1 Chung, Tsz Shun Eric
1 Cîmpean, Iulian
1 Clason, Christian
1 Contu, Pietro
1 Crane, Daniel K.
1 Crossen, E.
1 Dambrine, Marc
1 Darve, Eric
1 Das Roy, Samprita
1 de Lorenzis, Laura
1 Degond, Pierre
1 Denina, O. V.
...and 178 more Authors
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Cited in 63 Serials

10 Inverse Problems
9 Journal of Computational and Applied Mathematics
6 Computers & Mathematics with Applications
6 Journal of Computational Physics
6 Applied Mathematics and Computation
6 Optimization
6 Inverse Problems in Science and Engineering
5 Computer Methods in Applied Mechanics and Engineering
5 SIAM Journal on Numerical Analysis
4 Journal of Inverse and Ill-Posed Problems
4 Journal of Nonlinear and Variational Analysis
3 International Journal for Numerical Methods in Engineering
3 Journal of Scientific Computing
3 SIAM Journal on Applied Mathematics
3 Mathematics and Mechanics of Solids
3 Computational Methods in Applied Mathematics
2 Journal of Fluid Mechanics
2 Numerical Functional Analysis and Optimization
2 Computational Mechanics
2 Numerical Algorithms
2 Applied Mathematical Modelling
2 Journal of Convex Analysis
2 Optimization Methods & Software
2 Discrete and Continuous Dynamical Systems. Series B
2 Optimization Letters
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applicable Analysis
1 Journal of Mathematical Analysis and Applications
1 Applied Mathematics and Optimization
1 Journal of Multivariate Analysis
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 Numerical Methods for Partial Differential Equations
1 Annals of Operations Research
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Global Optimization
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 SIAM Journal on Scientific Computing
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
1 Journal of Functional Programming
1 Engineering Analysis with Boundary Elements
1 Mathematical Problems in Engineering
1 Finance and Stochastics
1 Journal of Applied Mechanics and Technical Physics
1 Communications in Nonlinear Science and Numerical Simulation
1 Nonlinear Analysis. Real World Applications
1 Archives of Computational Methods in Engineering
1 Mathematical Biosciences and Engineering
1 Boundary Value Problems
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Networks and Heterogeneous Media
1 Inverse Problems and Imaging
1 SIAM Journal on Imaging Sciences
1 Numerical Mathematics: Theory, Methods and Applications
1 Advances in Applied Mathematics and Mechanics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Journal of Mathematical Modeling
1 Computational Methods for Differential Equations
1 Open Mathematics

Citations by Year