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Matthies, Hermann Georg

Author ID: matthies.hermann-georg Recent zbMATH articles by "Matthies, Hermann Georg"
Published as: Matthies, Hermann G.; Matthies, H. G.; Matthies, Hermann; Matthies, Hermann Georg; Matthies, H.
Documents Indexed: 105 Publications since 1979, including 11 Additional arXiv Preprints
Reviewing Activity: 102 Reviews
Co-Authors: 77 Co-Authors with 95 Joint Publications
1,264 Co-Co-Authors
all top 5

Co-Authors

10 single-authored
18 Litvinenko, Alexander
18 Rosić, Bojana V.
12 Ibrahimbegović, Adnan
10 Niekamp, Rainer
9 Wang, Chong
8 Zander, Elmar K.
6 Fries, Thomas-Peter
6 Pajonk, Oliver
5 Kassiotis, Christophe
4 de Lorenzis, Laura
4 Hoang, Truong-Vinh
4 Keese, Andreas
4 Khoromskiĭ, Boris Nikolaevich
4 Liu, Dishi
4 Ohayon, Roger
4 Steindorf, Jan
3 Kayser-Herold, Oliver
3 Vondřejc, Jaroslav
2 Brank, Boštjan
2 Colliat, Jean-Baptiste
2 Dolgov, Sergey V.
2 Espig, Mike
2 Giraldi, Loïc
2 Hackbusch, Wolfgang
2 Krosche, Martin
2 Li, Yunlong
2 Markovic, Damijan
2 Marzouk, Youssef M.
2 Meyer, Marcus
2 Nath, Chr.
2 Nouy, Anthony
2 Sarfaraz, M. S.
2 Scavino, Marco
2 Shivanand, Sharana Kumar
2 Spantini, Alessio
2 Srisupattarawanit, Tarin
2 Strang, William Gilbert
2 Sýkora, Jan
2 Taylor, Robert Leroy
2 Xu, Menghui
1 Adeli, Ehsan
1 Brumme, Stephan
1 Bucher, Christian G.
1 Busarac, Nenad
1 Dobrilla, Simona
1 Doostan, Alireza
1 Drieschner, Martin
1 Dunić, Vladimir
1 El Moselhy, Tarek A.
1 Fahrendorf, Frederik
1 Friswell, Michael Ian
1 Gerasimov, Tymofiy
1 Hadigol, Mohammad
1 Hautefeuille, Martin
1 Henning, Carla
1 Karavelić, Emir
1 Keyes, David Elliot
1 Khoromskaia, Venera
1 Korzeniowski, Tim Fabian
1 Krumscheid, Sebastian
1 Kundu, Abhishek
1 Ladecký, Martin
1 Lülf, Fritz Adrian
1 Nagaraja, Sindhu
1 Ostermeyer, Georg-Peter
1 Rang, Joachim
1 Reinstädler, Sven
1 Ricken, Tim
1 Slavković, Radovan
1 Slavković, Vukašin
1 Stanić, Andjelka
1 Tempone, Raúl F.
1 Tran, Duc-Minh
1 Wähnert, Philipp
1 Weimar, Jörg R.
1 Weinberg, Kerstin
1 Živković, Miroslav

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 1,166 times in 811 Documents Cited by Year
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Zbl 1088.65002
Matthies, Hermann G.; Keese, Andreas
218
2005
The solution of nonlinear finite element equations. Zbl 0419.65070
Matthies, Hermann; Strang, Gilbert
99
1979
Algorithms for strong coupling procedures. Zbl 1142.74050
Matthies, Hermann G.; Niekamp, Rainer; Steindorf, Jan
61
2006
Efficient model reduction in nonlinear dynamics using the Karhunen-Loève expansion and dual-weighted-residual methods. Zbl 1038.74559
Meyer, M.; Matthies, H. G.
57
2003
Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. Zbl 1329.65271
Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G.
40
2015
Stochastic finite elements: Computational approaches to stochastic partial differential equations. Zbl 1158.65009
Matthies, Hermann G.
37
2008
Solving stochastic systems with low-rank tensor compression. Zbl 1241.65016
Matthies, Hermann G.; Zander, Elmar
36
2012
Sparse quadrature as an alternative to Monte Carlo for stochastic finite element techniques. Zbl 1354.65013
Keese, A.; Matthies, H. G.
32
2003
Application of hierarchical matrices for computing the Karhunen-Loève expansion. Zbl 1162.65306
Khoromskij, B. N.; Litvinenko, A.; Matthies, H. G.
30
2009
Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats. Zbl 1350.65005
Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Wähnert, Philipp
30
2014
Finite elements for stochastic media problems. Zbl 0953.74065
Matthies, Hermann G.; Bucher, Christian
27
1999
Nonlinear fluid-structure interaction problem. I: Implicit partitioned algorithm, nonlinear stability proof and validation examples. Zbl 1398.74084
Kassiotis, Christophe; Ibrahimbegovic, Adnan; Niekamp, Rainer; Matthies, Hermann G.
24
2011
Sampling-free linear Bayesian update of polynomial chaos representations. Zbl 1277.60114
Rosić, Bojana V.; Litvinenko, Alexander; Pajonk, Oliver; Matthies, Hermann G.
23
2012
To be or not to be intrusive? The solution of parametric and stochastic equations – the “plain vanilla” Galerkin case. Zbl 1310.65132
Giraldi, Loïc; Litvinenko, Alexander; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony
22
2014
A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations. I: Stabilization. Zbl 1178.76274
Fries, Thomas-Peter; Matthies, Hermann Georg
21
2006
Fully coupled fluid-structure interaction using weak coupling. Zbl 1312.74009
Matthies, H. G.; Steindorf, J.
19
2002
A deterministic filter for non-Gaussian Bayesian estimation – Applications to dynamical system estimation with noisy measurements. Zbl 1237.62129
Pajonk, Oliver; Rosić, Bojana V.; Litvinenko, Alexander; Matthies, Hermann G.
18
2012
Partitioned treatment of uncertainty in coupled domain problems: a separated representation approach. Zbl 1296.65158
Hadigol, Mohammad; Doostan, Alireza; Matthies, Hermann G.; Niekamp, Rainer
18
2014
Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities. Zbl 1506.74351
Gerasimov, Tymofiy; Römer, Ulrich; Vondřejc, Jaroslav; Matthies, Hermann G.; De Lorenzis, Laura
15
2020
Epistemic uncertainty-based reliability analysis for engineering system with hybrid evidence and fuzzy variables. Zbl 1441.62255
Wang, Chong; Matthies, Hermann G.
15
2019
A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations. II: Coupling. Zbl 1178.76273
Fries, Thomas-Peter; Matthies, Hermann Georg
15
2006
Multi-scale modeling of heterogeneous structures with inelastic constitutive behaviour. I: Physical and mathematical aspects. Zbl 1186.74026
Markovic, Damijan; Niekamp, Rainer; Ibrahimbegović, Adnan; Matthies, Hermann G.; Taylor, Robert L.
14
2005
Fast solvers for the white noise analysis of stochastic systems. Zbl 1435.65019
Matthies, H. G.; Keese, A.
13
2002
Evidence theory-based reliability optimization design using polynomial chaos expansion. Zbl 1440.74277
Wang, Chong; Matthies, Hermann G.
13
2018
Coupling meshfree methods and FEM for the solution of the incompressible Navier-Stokes equations. Zbl 1354.76105
Fries, Thomas-Peter; Matthies, Hermann G.
13
2004
SUPG stabilization of meshfree methods for convection-dominated problems. Zbl 1354.76131
Fries, Thomas-Peter; Matthies, Hermann G.
13
2003
Acceleration of uncertainty updating in the description of transport processes in heterogeneous materials. Zbl 1426.76633
Kučerová, Anna; Sýkora, Jan; Rosić, Bojana; Matthies, Hermann G.
11
2012
Numerical efficiency of different partitioned methods for fluid-structure interaction. Zbl 0951.74629
Steindorf, J.; Matthies, H. G.
11
2000
Multi-scale modelling of heterogeneous structures with inelastic constitutive behavior. II: Software coupling implementation aspects. Zbl 1257.74161
Niekamp, Rainer; Markovic, Damijan; Ibrahimbegovic, Adnan; Matthies, Hermann G.; Taylor, Robert L.
11
2009
Multiscale in time and stability analysis of operator split solution procedures applied to thermomechanical problems. Zbl 1257.74156
Kassiotis, C.; Colliat, J.-B.; Ibrahimbegovic, A.; Matthies, H. G.
11
2009
Parallel solution of stochastic PDEs. Zbl 1201.65013
Keese, Andreas; Matthies, Hermann G.
10
2003
Parameter identification for phase-field modeling of fracture: a Bayesian approach with sampling-free update. Zbl 07360512
Wu, T.; Rosić, B.; De Lorenzis, L.; Matthies, H. G.
10
2021
Dual interval-and-fuzzy analysis method for temperature prediction with hybrid epistemic uncertainties via polynomial chaos expansion. Zbl 1440.74481
Wang, Chong; Matthies, Hermann G.; Xu, Menghui; Li, Yunlong
9
2018
Parametric and uncertainty computations with tensor product representations. Zbl 1256.65004
Matthies, Hermann G.; Litvinenko, Alexander; Pajonk, Oliver; Rosić, Bojana V.; Zander, Elmar
9
2012
A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis. Zbl 1506.74489
Wang, Chong; Matthies, Hermann G.
9
2020
Sampling and low-rank tensor approximation of the response surface. Zbl 1302.65030
Litvinenko, Alexander; Matthies, Hermann G.; El-Moselhy, Tarek A.
8
2013
Existence theorems in thermo-plasticity. Zbl 0416.73091
Matthies, Hermann
7
1979
Variational theory and computations in stochastic plasticity. Zbl 1348.74063
Rosić, Bojana V.; Matthies, Hermann G.
7
2015
FFT-based homogenisation accelerated by low-rank tensor approximations. Zbl 1442.65410
Vondřejc, Jaroslav; Liu, Dishi; Ladecký, Martin; Matthies, Hermann G.
7
2020
Analysis of parametric models. Linear methods and approximations. Zbl 1444.47080
Matthies, Hermann G.; Ohayon, Roger
7
2019
To be or not to be intrusive? The solution of parametric and stochastic equations – proper generalized decomposition. Zbl 1315.65056
Giraldi, Loïc; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony
7
2015
A decomposition method for the integration of the elastic-plastic rate problem. Zbl 0669.73022
Matthies, Hermann G.
7
1989
Nonlinear fluid-structure interaction problem. II: Space discretization, implementation aspects, nested parallelization and application examples. Zbl 1398.74083
Kassiotis, Christophe; Ibrahimbegovic, Adnan; Niekamp, Rainer; Matthies, Hermann G.
6
2011
Iterative algorithms for the post-processing of high-dimensional data. Zbl 1436.65054
Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Zander, Elmar
6
2020
Random model with fuzzy distribution parameters for hybrid uncertainty propagation in engineering systems. Zbl 1441.62922
Wang, Chong; Matthies, Hermann G.
6
2020
Stochastic approach to size effect in quasi-brittle materials. Zbl 1128.74038
Colliat, Jean-Baptiste; Hautefeuille, Martin; Ibrahimbegovic, Adnan; Matthies, Hermann G.
6
2007
Hybrid evidence-and-fuzzy uncertainty propagation under a dual-level analysis framework. Zbl 1426.62396
Wang, Chong; Matthies, Hermann G.
6
2019
Reduced model of macro-scale stochastic plasticity identification by Bayesian inference: application to quasi-brittle failure of concrete. Zbl 1506.74062
Ibrahimbegovic, Adnan; Matthies, Hermann G.; Karavelić, Emir
5
2020
Epistemic uncertainty-based model validation via interval propagation and parameter calibration. Zbl 1440.65056
Wang, Chong; Matthies, Hermann G.; Xu, Menghui; Li, Yunlong
5
2018
Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084
Litvinenko, Alexander; Keyes, David; Khoromskaia, Venera; Khoromskij, Boris N.; Matthies, Hermann G.
5
2019
Finite element approximations in thermo-plasticity. Zbl 0439.73071
Matthies, Hermann
5
1979
Strong coupling methods. Zbl 1081.34005
Matthies, Hermann G.; Steindorf, Jan
5
2003
Inelastic media under uncertainty: stochastic models and computational approaches. Zbl 1209.74075
Matthies, Hermann G.; Rosić, Bojana V.
4
2008
Probabilistic optimization of engineering system with prescribed target design in a reduced parameter space. Zbl 1440.62296
Kundu, A.; Matthies, H. G.; Friswell, M. I.
3
2018
Accurate computation of conditional expectation for highly nonlinear problems. Zbl 1436.62101
Vondřejc, Jaroslav; Matthies, Hermann G.
3
2019
Identification of properties of stochastic elastoplastic systems. Zbl 1304.93076
Rosić, Bojana V.; Matthies, Hermann G.
3
2013
Partitioned solution to fluid-structure interaction problem in application to free-surface flows. Zbl 1202.76051
Kassiotis, C.; Ibrahimbegovic, A.; Matthies, H.
3
2010
Computable error bounds for the generalized symmetric eigenproblem. Zbl 0602.65021
Matthies, H. G.
3
1985
Analysis of parametric models for coupled systems. Zbl 1432.93044
Matthies, Hermann G.; Ohayon, Roger
3
2020
A subspace Lanczos method for the generalized symmetric eigenproblem. Zbl 0589.73079
Matthies, Hermann G.
2
1985
Simulation of nonlinear random finite depth waves coupled with an elastic structure. Zbl 1378.74026
Srisupattarawanit, Tarin; Niekamp, Rainer; Matthies, Hermann G.
2
2006
Stable splitting scheme for general form of associated plasticity including different scales of space and time. Zbl 1227.74127
Kassiotis, Christophe; Ibrahimbegovic, Adnan; Matthies, Hermann G.; Brank, Bostjan
2
2010
Meshfree Petrov-Galerkin methods for the incompressible Navier-Stokes equations. Zbl 1061.76059
Fries, Thomas-Peter; Matthies, Hermann Georg
2
2005
A subspace Lanczos algorithm with restarts and double re- orthogonalization. Zbl 0598.65018
Matthies, H. G.
2
1986
Deterministic and stochastic phase-field modeling of anisotropic brittle fracture. Zbl 07665608
Nagaraja, Sindhu; Römer, Ulrich; Matthies, Hermann G.; De Lorenzis, Laura
2
2023
Dual-stage uncertainty modeling and evaluation for transient temperature effect on structural vibration property. Zbl 1462.74069
Wang, Chong; Matthies, Hermann G.
2
2019
Effect of load path on parameter identification for plasticity models using Bayesian methods. Zbl 1455.62223
Adeli, Ehsan; Rosić, Bojana; Matthies, Hermann G.; Reinstädler, Sven
2
2020
An integrated method for the transient solution of reduced order models of geometrically nonlinear structures. Zbl 1398.74364
Lülf, Fritz Adrian; Tran, Duc-Minh; Matthies, Hermann G.; Ohayon, Roger
2
2015
Crack propagation simulation without crack tracking algorithm: embedded discontinuity formulation with incompatible modes. Zbl 1507.74418
Stanić, A.; Brank, B.; Ibrahimbegovic, A.; Matthies, H. G.
2
2021
Sparse representations in stochastic mechanics. Zbl 1250.82003
Matthies, Hermann G.; Zander, Elmar
1
2011
Collocation methods and beyond in non-linear mechanics. Zbl 1513.74154
Fahrendorf, F.; Shivanand, S.; Rosic, B. V.; Sarfaraz, M. S.; Wu, T.; De Lorenzis, L.; Matthies, H. G.
1
2022
Analysis of polymorphic data uncertainties in engineering applications. Zbl 07777957
Drieschner, Martin; Matthies, Hermann G.; Hoang, Truong-Vinh; Rosić, Bojana V.; Ricken, Tim; Henning, Carla; Ostermeyer, Georg-Peter; Müller, Michael; Brumme, Stephan; Srisupattarawanit, Tarin; Weinberg, Kerstin; Korzeniowski, Tim F.
1
2019
Considerations on the identifiability of fracture and bond properties of reinforced concrete. Zbl 07772284
Dobrilla, Simona; Matthies, Hermann G.; Ibrahimbegovic, Adnan
1
2023
Solving fluid-structure interaction problems using strong coupling algorithms with the Component Template Library (CTL). Zbl 1393.74046
Rang, Joachim; Krosche, Martin; Niekamp, R.; Matthies, Hermann G.
1
2008
Deterministic and stochastic phase-field modeling of anisotropic brittle fracture. Zbl 07665608
Nagaraja, Sindhu; Römer, Ulrich; Matthies, Hermann G.; De Lorenzis, Laura
2
2023
Considerations on the identifiability of fracture and bond properties of reinforced concrete. Zbl 07772284
Dobrilla, Simona; Matthies, Hermann G.; Ibrahimbegovic, Adnan
1
2023
Collocation methods and beyond in non-linear mechanics. Zbl 1513.74154
Fahrendorf, F.; Shivanand, S.; Rosic, B. V.; Sarfaraz, M. S.; Wu, T.; De Lorenzis, L.; Matthies, H. G.
1
2022
Parameter identification for phase-field modeling of fracture: a Bayesian approach with sampling-free update. Zbl 07360512
Wu, T.; Rosić, B.; De Lorenzis, L.; Matthies, H. G.
10
2021
Crack propagation simulation without crack tracking algorithm: embedded discontinuity formulation with incompatible modes. Zbl 1507.74418
Stanić, A.; Brank, B.; Ibrahimbegovic, A.; Matthies, H. G.
2
2021
Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities. Zbl 1506.74351
Gerasimov, Tymofiy; Römer, Ulrich; Vondřejc, Jaroslav; Matthies, Hermann G.; De Lorenzis, Laura
15
2020
A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis. Zbl 1506.74489
Wang, Chong; Matthies, Hermann G.
9
2020
FFT-based homogenisation accelerated by low-rank tensor approximations. Zbl 1442.65410
Vondřejc, Jaroslav; Liu, Dishi; Ladecký, Martin; Matthies, Hermann G.
7
2020
Iterative algorithms for the post-processing of high-dimensional data. Zbl 1436.65054
Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Zander, Elmar
6
2020
Random model with fuzzy distribution parameters for hybrid uncertainty propagation in engineering systems. Zbl 1441.62922
Wang, Chong; Matthies, Hermann G.
6
2020
Reduced model of macro-scale stochastic plasticity identification by Bayesian inference: application to quasi-brittle failure of concrete. Zbl 1506.74062
Ibrahimbegovic, Adnan; Matthies, Hermann G.; Karavelić, Emir
5
2020
Analysis of parametric models for coupled systems. Zbl 1432.93044
Matthies, Hermann G.; Ohayon, Roger
3
2020
Effect of load path on parameter identification for plasticity models using Bayesian methods. Zbl 1455.62223
Adeli, Ehsan; Rosić, Bojana; Matthies, Hermann G.; Reinstädler, Sven
2
2020
Epistemic uncertainty-based reliability analysis for engineering system with hybrid evidence and fuzzy variables. Zbl 1441.62255
Wang, Chong; Matthies, Hermann G.
15
2019
Analysis of parametric models. Linear methods and approximations. Zbl 1444.47080
Matthies, Hermann G.; Ohayon, Roger
7
2019
Hybrid evidence-and-fuzzy uncertainty propagation under a dual-level analysis framework. Zbl 1426.62396
Wang, Chong; Matthies, Hermann G.
6
2019
Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084
Litvinenko, Alexander; Keyes, David; Khoromskaia, Venera; Khoromskij, Boris N.; Matthies, Hermann G.
5
2019
Accurate computation of conditional expectation for highly nonlinear problems. Zbl 1436.62101
Vondřejc, Jaroslav; Matthies, Hermann G.
3
2019
Dual-stage uncertainty modeling and evaluation for transient temperature effect on structural vibration property. Zbl 1462.74069
Wang, Chong; Matthies, Hermann G.
2
2019
Analysis of polymorphic data uncertainties in engineering applications. Zbl 07777957
Drieschner, Martin; Matthies, Hermann G.; Hoang, Truong-Vinh; Rosić, Bojana V.; Ricken, Tim; Henning, Carla; Ostermeyer, Georg-Peter; Müller, Michael; Brumme, Stephan; Srisupattarawanit, Tarin; Weinberg, Kerstin; Korzeniowski, Tim F.
1
2019
Evidence theory-based reliability optimization design using polynomial chaos expansion. Zbl 1440.74277
Wang, Chong; Matthies, Hermann G.
13
2018
Dual interval-and-fuzzy analysis method for temperature prediction with hybrid epistemic uncertainties via polynomial chaos expansion. Zbl 1440.74481
Wang, Chong; Matthies, Hermann G.; Xu, Menghui; Li, Yunlong
9
2018
Epistemic uncertainty-based model validation via interval propagation and parameter calibration. Zbl 1440.65056
Wang, Chong; Matthies, Hermann G.; Xu, Menghui; Li, Yunlong
5
2018
Probabilistic optimization of engineering system with prescribed target design in a reduced parameter space. Zbl 1440.62296
Kundu, A.; Matthies, H. G.; Friswell, M. I.
3
2018
Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. Zbl 1329.65271
Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G.
40
2015
Variational theory and computations in stochastic plasticity. Zbl 1348.74063
Rosić, Bojana V.; Matthies, Hermann G.
7
2015
To be or not to be intrusive? The solution of parametric and stochastic equations – proper generalized decomposition. Zbl 1315.65056
Giraldi, Loïc; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony
7
2015
An integrated method for the transient solution of reduced order models of geometrically nonlinear structures. Zbl 1398.74364
Lülf, Fritz Adrian; Tran, Duc-Minh; Matthies, Hermann G.; Ohayon, Roger
2
2015
Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats. Zbl 1350.65005
Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Wähnert, Philipp
30
2014
To be or not to be intrusive? The solution of parametric and stochastic equations – the “plain vanilla” Galerkin case. Zbl 1310.65132
Giraldi, Loïc; Litvinenko, Alexander; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony
22
2014
Partitioned treatment of uncertainty in coupled domain problems: a separated representation approach. Zbl 1296.65158
Hadigol, Mohammad; Doostan, Alireza; Matthies, Hermann G.; Niekamp, Rainer
18
2014
Sampling and low-rank tensor approximation of the response surface. Zbl 1302.65030
Litvinenko, Alexander; Matthies, Hermann G.; El-Moselhy, Tarek A.
8
2013
Identification of properties of stochastic elastoplastic systems. Zbl 1304.93076
Rosić, Bojana V.; Matthies, Hermann G.
3
2013
Solving stochastic systems with low-rank tensor compression. Zbl 1241.65016
Matthies, Hermann G.; Zander, Elmar
36
2012
Sampling-free linear Bayesian update of polynomial chaos representations. Zbl 1277.60114
Rosić, Bojana V.; Litvinenko, Alexander; Pajonk, Oliver; Matthies, Hermann G.
23
2012
A deterministic filter for non-Gaussian Bayesian estimation – Applications to dynamical system estimation with noisy measurements. Zbl 1237.62129
Pajonk, Oliver; Rosić, Bojana V.; Litvinenko, Alexander; Matthies, Hermann G.
18
2012
Acceleration of uncertainty updating in the description of transport processes in heterogeneous materials. Zbl 1426.76633
Kučerová, Anna; Sýkora, Jan; Rosić, Bojana; Matthies, Hermann G.
11
2012
Parametric and uncertainty computations with tensor product representations. Zbl 1256.65004
Matthies, Hermann G.; Litvinenko, Alexander; Pajonk, Oliver; Rosić, Bojana V.; Zander, Elmar
9
2012
Nonlinear fluid-structure interaction problem. I: Implicit partitioned algorithm, nonlinear stability proof and validation examples. Zbl 1398.74084
Kassiotis, Christophe; Ibrahimbegovic, Adnan; Niekamp, Rainer; Matthies, Hermann G.
24
2011
Nonlinear fluid-structure interaction problem. II: Space discretization, implementation aspects, nested parallelization and application examples. Zbl 1398.74083
Kassiotis, Christophe; Ibrahimbegovic, Adnan; Niekamp, Rainer; Matthies, Hermann G.
6
2011
Sparse representations in stochastic mechanics. Zbl 1250.82003
Matthies, Hermann G.; Zander, Elmar
1
2011
Partitioned solution to fluid-structure interaction problem in application to free-surface flows. Zbl 1202.76051
Kassiotis, C.; Ibrahimbegovic, A.; Matthies, H.
3
2010
Stable splitting scheme for general form of associated plasticity including different scales of space and time. Zbl 1227.74127
Kassiotis, Christophe; Ibrahimbegovic, Adnan; Matthies, Hermann G.; Brank, Bostjan
2
2010
Application of hierarchical matrices for computing the Karhunen-Loève expansion. Zbl 1162.65306
Khoromskij, B. N.; Litvinenko, A.; Matthies, H. G.
30
2009
Multi-scale modelling of heterogeneous structures with inelastic constitutive behavior. II: Software coupling implementation aspects. Zbl 1257.74161
Niekamp, Rainer; Markovic, Damijan; Ibrahimbegovic, Adnan; Matthies, Hermann G.; Taylor, Robert L.
11
2009
Multiscale in time and stability analysis of operator split solution procedures applied to thermomechanical problems. Zbl 1257.74156
Kassiotis, C.; Colliat, J.-B.; Ibrahimbegovic, A.; Matthies, H. G.
11
2009
Stochastic finite elements: Computational approaches to stochastic partial differential equations. Zbl 1158.65009
Matthies, Hermann G.
37
2008
Inelastic media under uncertainty: stochastic models and computational approaches. Zbl 1209.74075
Matthies, Hermann G.; Rosić, Bojana V.
4
2008
Solving fluid-structure interaction problems using strong coupling algorithms with the Component Template Library (CTL). Zbl 1393.74046
Rang, Joachim; Krosche, Martin; Niekamp, R.; Matthies, Hermann G.
1
2008
Stochastic approach to size effect in quasi-brittle materials. Zbl 1128.74038
Colliat, Jean-Baptiste; Hautefeuille, Martin; Ibrahimbegovic, Adnan; Matthies, Hermann G.
6
2007
Algorithms for strong coupling procedures. Zbl 1142.74050
Matthies, Hermann G.; Niekamp, Rainer; Steindorf, Jan
61
2006
A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations. I: Stabilization. Zbl 1178.76274
Fries, Thomas-Peter; Matthies, Hermann Georg
21
2006
A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations. II: Coupling. Zbl 1178.76273
Fries, Thomas-Peter; Matthies, Hermann Georg
15
2006
Simulation of nonlinear random finite depth waves coupled with an elastic structure. Zbl 1378.74026
Srisupattarawanit, Tarin; Niekamp, Rainer; Matthies, Hermann G.
2
2006
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Zbl 1088.65002
Matthies, Hermann G.; Keese, Andreas
218
2005
Multi-scale modeling of heterogeneous structures with inelastic constitutive behaviour. I: Physical and mathematical aspects. Zbl 1186.74026
Markovic, Damijan; Niekamp, Rainer; Ibrahimbegović, Adnan; Matthies, Hermann G.; Taylor, Robert L.
14
2005
Meshfree Petrov-Galerkin methods for the incompressible Navier-Stokes equations. Zbl 1061.76059
Fries, Thomas-Peter; Matthies, Hermann Georg
2
2005
Coupling meshfree methods and FEM for the solution of the incompressible Navier-Stokes equations. Zbl 1354.76105
Fries, Thomas-Peter; Matthies, Hermann G.
13
2004
Efficient model reduction in nonlinear dynamics using the Karhunen-Loève expansion and dual-weighted-residual methods. Zbl 1038.74559
Meyer, M.; Matthies, H. G.
57
2003
Sparse quadrature as an alternative to Monte Carlo for stochastic finite element techniques. Zbl 1354.65013
Keese, A.; Matthies, H. G.
32
2003
SUPG stabilization of meshfree methods for convection-dominated problems. Zbl 1354.76131
Fries, Thomas-Peter; Matthies, Hermann G.
13
2003
Parallel solution of stochastic PDEs. Zbl 1201.65013
Keese, Andreas; Matthies, Hermann G.
10
2003
Strong coupling methods. Zbl 1081.34005
Matthies, Hermann G.; Steindorf, Jan
5
2003
Fully coupled fluid-structure interaction using weak coupling. Zbl 1312.74009
Matthies, H. G.; Steindorf, J.
19
2002
Fast solvers for the white noise analysis of stochastic systems. Zbl 1435.65019
Matthies, H. G.; Keese, A.
13
2002
Numerical efficiency of different partitioned methods for fluid-structure interaction. Zbl 0951.74629
Steindorf, J.; Matthies, H. G.
11
2000
Finite elements for stochastic media problems. Zbl 0953.74065
Matthies, Hermann G.; Bucher, Christian
27
1999
A decomposition method for the integration of the elastic-plastic rate problem. Zbl 0669.73022
Matthies, Hermann G.
7
1989
A subspace Lanczos algorithm with restarts and double re- orthogonalization. Zbl 0598.65018
Matthies, H. G.
2
1986
Computable error bounds for the generalized symmetric eigenproblem. Zbl 0602.65021
Matthies, H. G.
3
1985
A subspace Lanczos method for the generalized symmetric eigenproblem. Zbl 0589.73079
Matthies, Hermann G.
2
1985
The solution of nonlinear finite element equations. Zbl 0419.65070
Matthies, Hermann; Strang, Gilbert
99
1979
Existence theorems in thermo-plasticity. Zbl 0416.73091
Matthies, Hermann
7
1979
Finite element approximations in thermo-plasticity. Zbl 0439.73071
Matthies, Hermann
5
1979
all top 5

Cited by 1,429 Authors

47 Matthies, Hermann Georg
16 Ibrahimbegović, Adnan
16 Nouy, Anthony
16 Tempone, Raúl F.
13 Rosić, Bojana V.
12 Eigel, Martin
12 Litvinenko, Alexander
12 Nobile, Fabio
11 Harbrecht, Helmut
11 Steinmann, Paul
10 Ghanem, Roger G.
10 Khoromskiĭ, Boris Nikolaevich
10 Kröker, Ilja
10 Poëtte, Gaël
10 Soize, Christian
9 Elman, Howard C.
9 Karniadakis, George Em
9 Multerer, Michael D.
9 Wang, Chong
8 Bordas, Stéphane Pierre Alain
8 Pivovarov, Dmytro
8 Sousedík, Bedřich
7 de Lorenzis, Laura
7 Dettmer, Wulf G.
7 Grasedyck, Lars
7 Jaiman, Rajeev Kumar
7 Lee, Kookjin
7 Lin, Guang
7 Perić, Djordje
7 Wick, Thomas
6 Dolgov, Sergey V.
6 Doostan, Alireza
6 Knio, Omar M.
6 Le Maître, Olivier P.
6 Marzouk, Youssef M.
6 Najm, Habib N.
6 Nguyen, Ngoc Cuong
6 Niekamp, Rainer
6 Nowak, Wolfgang
6 Oladyshkin, Sergey
6 Papaioannou, Iason
6 Schwab, Christoph
6 Willner, Kai
6 Zhang, Zhiwen
5 Adhikari, Sondipon
5 Argyris, John Hadji
5 Barbieri, Ettore
5 Degroote, Joris
5 Ghosh, Debraj
5 Gittelson, Claude Jeffrey
5 Jiang, Lijian
5 Kassiotis, Christophe
5 Kerfriden, Pierre
5 Keyes, David Elliot
5 Ladevèze, Pierre
5 Nair, Prasanth B.
5 Reese, Stefanie
5 Rohde, Christian
5 Schneider, Reinhold
5 Simo, Juan Carlos
5 Simoncini, Valeria
5 Sýkora, Jan
5 Ullmann, Elisabeth
5 Webster, Clayton G.
5 Wu, Jianying
5 Zhang, Xiaohua
4 Bruggeman, Peter
4 Čanić, Sunčica
4 Carlberg, Kevin T.
4 Chevreuil, Mathilde
4 Colliat, Jean-Baptiste
4 Debusschere, Bert J.
4 Doltsinis, J. St.
4 Ernst, Oliver G.
4 Ghosh, Somnath
4 Junker, Philipp
4 Khan, Akhtar Ali
4 Kressner, Daniel
4 Kundu, Abhishek
4 Li, Qiuqi
4 Lucor, Didier
4 Patera, Anthony T.
4 Sama, Miguel
4 Scheichl, Robert
4 Straub, Daniel
4 Vergara, Christian
4 Vierendeels, Jan
4 Vondřejc, Jaroslav
4 Wall, Wolfgang A.
4 Wittum, Gabriel
4 Wriggers, Peter
4 Yoshimura, Shinobu
4 Zhang, Guannan
3 Alexanderian, Alen
3 Augarde, Charles Edward
3 Ballani, Jonas
3 Benson, David J.
3 Boyaval, Sébastien
3 Brank, Boštjan
3 Bürger, Raimund
...and 1,329 more Authors
all top 5

Cited in 126 Serials

229 Computer Methods in Applied Mechanics and Engineering
84 Journal of Computational Physics
53 International Journal for Numerical Methods in Engineering
44 Computational Mechanics
34 SIAM/ASA Journal on Uncertainty Quantification
20 SIAM Journal on Scientific Computing
17 Computers & Mathematics with Applications
14 Applied Mathematical Modelling
13 Numerische Mathematik
12 Computers and Fluids
12 Journal of Computational and Applied Mathematics
10 Archives of Computational Methods in Engineering
9 Engineering Analysis with Boundary Elements
9 Computational Geosciences
9 Engineering Computations
9 International Journal of Computational Methods
7 Journal of Scientific Computing
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 International Journal for Numerical Methods in Fluids
5 Mathematics and Computers in Simulation
5 SIAM Journal on Numerical Analysis
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Applied Mathematics and Computation
4 BIT
4 Applied Numerical Mathematics
4 International Journal of Computer Mathematics
4 Archive of Applied Mechanics
4 Numerical Linear Algebra with Applications
4 European Journal of Mechanics. A. Solids
4 Computational Methods in Applied Mathematics
4 Multiscale Modeling & Simulation
4 Acta Numerica
3 Computer Physics Communications
3 Mathematical Methods in the Applied Sciences
3 Mathematics of Computation
3 Fuzzy Sets and Systems
3 SIAM Journal on Matrix Analysis and Applications
3 Communications in Numerical Methods in Engineering
3 Advances in Computational Mathematics
3 European Journal of Mechanics. B. Fluids
3 International Journal of Numerical Analysis and Modeling
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 International Journal for Numerical Methods in Biomedical Engineering
3 GEM - International Journal on Geomathematics
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 Acta Mechanica
2 International Journal of Solids and Structures
2 Journal of the Franklin Institute
2 Wave Motion
2 Chaos, Solitons and Fractals
2 Computing
2 Mathematical and Computer Modelling
2 European Journal of Applied Mathematics
2 Applications of Mathematics
2 Computational Statistics and Data Analysis
2 Continuum Mechanics and Thermodynamics
2 Mathematical Problems in Engineering
2 Computing and Visualization in Science
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Journal of Applied Mathematics
2 GAMM-Mitteilungen
2 Advances in Mathematical Physics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 General Relativity and Gravitation
1 International Journal of Engineering Science
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 International Journal of Plasticity
1 Inverse Problems
1 Journal of Applied Mathematics and Mechanics
1 Journal of Engineering Mathematics
1 Journal of the Mechanics and Physics of Solids
1 Information Sciences
1 Journal of Optimization Theory and Applications
1 Kybernetika
1 Mathematische Nachrichten
1 Systems & Control Letters
1 Physica D
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Numerical Methods for Partial Differential Equations
1 Asia-Pacific Journal of Operational Research
1 Neural Networks
1 Computational Mathematics and Mathematical Physics
1 Communications in Partial Differential Equations
1 Communications in Statistics. Theory and Methods
1 Linear Algebra and its Applications
1 SIAM Review
1 Mathematical Programming. Series A. Series B
1 Celestial Mechanics and Dynamical Astronomy
1 Journal of Mathematical Imaging and Vision
1 Potential Analysis
1 Computational and Applied Mathematics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Monte Carlo Methods and Applications
1 Complexity
1 Mathematics and Mechanics of Solids
1 Multibody System Dynamics
1 Optimization Methods & Software
1 Vychislitel’nye Tekhnologii
1 Mathematical and Computer Modelling of Dynamical Systems
...and 26 more Serials
all top 5

Cited in 35 Fields

474 Numerical analysis (65-XX)
360 Mechanics of deformable solids (74-XX)
182 Fluid mechanics (76-XX)
167 Probability theory and stochastic processes (60-XX)
144 Partial differential equations (35-XX)
79 Statistics (62-XX)
32 Biology and other natural sciences (92-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
19 Geophysics (86-XX)
17 Classical thermodynamics, heat transfer (80-XX)
17 Operations research, mathematical programming (90-XX)
15 Computer science (68-XX)
13 Systems theory; control (93-XX)
10 Ordinary differential equations (34-XX)
10 Mechanics of particles and systems (70-XX)
10 Optics, electromagnetic theory (78-XX)
9 Operator theory (47-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Approximations and expansions (41-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Integral equations (45-XX)
5 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
3 Mathematical logic and foundations (03-XX)
3 Functional analysis (46-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Real functions (26-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Quantum theory (81-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Differential geometry (53-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year