Edit Profile (opens in new tab) Matthies, Hermann Georg Co-Author Distance Author ID: matthies.hermann-georg Published as: Matthies, Hermann G.; Matthies, H. G.; Matthies, Hermann; Matthies, Hermann Georg; Matthies, H. more...less Documents Indexed: 104 Publications since 1979, including 11 Additional arXiv Preprints Reviewing Activity: 102 Reviews Co-Authors: 77 Co-Authors with 94 Joint Publications 1,301 Co-Co-Authors all top 5 Co-Authors 10 single-authored 17 Litvinenko, Alexander 17 Rosić, Bojana V. 12 Ibrahimbegović, Adnan 10 Niekamp, Rainer 9 Wang, Chong 8 Zander, Elmar K. 6 Fries, Thomas-Peter 5 Kassiotis, Christophe 5 Pajonk, Oliver 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 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 Sýkora, Jan 1 Tempone, Raúl F. 1 Tran, Duc-Minh 1 Wähnert, Philipp 1 Weimar, Jörg R. 1 Weinberg, Kerstin 1 Živković, Miroslav all top 5 Serials 21 Computer Methods in Applied Mechanics and Engineering 15 PAMM. Proceedings in Applied Mathematics and Mechanics 6 Computational Mechanics 3 International Journal for Numerical Methods in Engineering 3 Engineering Computations 2 Journal of Computational Physics 2 Fuzzy Sets and Systems 2 SIAM Journal on Scientific Computing 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computers & Mathematics with Applications 1 Computers and Structures 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Computing 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Physica D 1 Communications in Applied Numerical Methods 1 Linear Algebra and its Applications 1 Continuum Mechanics and Thermodynamics 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 European Journal of Mechanics. B. Fluids 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 GAMM-Mitteilungen 1 Journal de Mécanique 1 International Journal for Uncertainty Quantification 1 Foundations of Data Science all top 5 Fields 52 Numerical analysis (65-XX) 47 Mechanics of deformable solids (74-XX) 28 Probability theory and stochastic processes (60-XX) 20 Fluid mechanics (76-XX) 17 Statistics (62-XX) 15 Partial differential equations (35-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Mathematical logic and foundations (03-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 1,117 times in 782 Documents Cited by ▼ Year ▼ Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Zbl 1088.65002 Matthies, Hermann G.; Keese, Andreas 212 2005 The solution of nonlinear finite element equations. Zbl 0419.65070 Matthies, Hermann; Strang, Gilbert 94 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. 54 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. 39 2015 Solving stochastic systems with low-rank tensor compression. Zbl 1241.65016 Matthies, Hermann G.; Zander, Elmar 36 2012 Stochastic finite elements: Computational approaches to stochastic partial differential equations. Zbl 1158.65009 Matthies, Hermann G. 36 2008 Sparse quadrature as an alternative to Monte Carlo for stochastic finite element techniques. Zbl 1354.65013 Keese, A.; Matthies, H. G. 31 2003 Application of hierarchical matrices for computing the Karhunen-Loève expansion. Zbl 1162.65306 Khoromskij, B. N.; Litvinenko, A.; Matthies, H. G. 29 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 28 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. 21 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 20 2014 Fully coupled fluid-structure interaction using weak coupling. Zbl 1312.74009 Matthies, H. G.; Steindorf, J. 19 2002 A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations. I: Stabilization. Zbl 1178.76274 Fries, Thomas-Peter; Matthies, Hermann Georg 18 2006 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. 17 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 17 2014 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 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 14 2020 Fast solvers for the white noise analysis of stochastic systems. Zbl 1435.65019 Matthies, H. G.; Keese, A. 13 2002 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 Epistemic uncertainty-based reliability analysis for engineering system with hybrid evidence and fuzzy variables. Zbl 1441.62255 Wang, Chong; Matthies, Hermann G. 13 2019 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 Evidence theory-based reliability optimization design using polynomial chaos expansion. Zbl 1440.74277 Wang, Chong; Matthies, Hermann G. 11 2018 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 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 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 Sampling and low-rank tensor approximation of the response surface. Zbl 1302.65030 Litvinenko, Alexander; Matthies, Hermann G.; El-Moselhy, Tarek A. 8 2013 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. 8 2021 A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis. Zbl 1506.74489 Wang, Chong; Matthies, Hermann G. 8 2020 A decomposition method for the integration of the elastic-plastic rate problem. Zbl 0669.73022 Matthies, Hermann G. 7 1989 Analysis of parametric models. Linear methods and approximations. Zbl 1444.47080 Matthies, Hermann G.; Ohayon, Roger 7 2019 Stochastic approach to size effect in quasi-brittle materials. Zbl 1128.74038 Colliat, Jean-Baptiste; Hautefeuille, Martin; Ibrahimbegovic, Adnan; Matthies, Hermann G. 6 2007 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 Variational theory and computations in stochastic plasticity. Zbl 1348.74063 Rosić, Bojana V.; Matthies, Hermann G. 6 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 6 2015 Hybrid evidence-and-fuzzy uncertainty propagation under a dual-level analysis framework. Zbl 1426.62396 Wang, Chong; Matthies, Hermann G. 6 2019 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 FFT-based homogenisation accelerated by low-rank tensor approximations. Zbl 1442.65410 Vondřejc, Jaroslav; Liu, Dishi; Ladecký, Martin; Matthies, Hermann G. 6 2020 Strong coupling methods. Zbl 1081.34005 Matthies, Hermann G.; Steindorf, Jan 5 2003 Existence theorems in thermo-plasticity. Zbl 0416.73091 Matthies, Hermann 5 1979 Finite element approximations in thermo-plasticity. Zbl 0439.73071 Matthies, Hermann 5 1979 Inelastic media under uncertainty: stochastic models and computational approaches. Zbl 1209.74075 Matthies, Hermann G.; Rosić, Bojana V. 4 2008 Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084 Litvinenko, Alexander; Keyes, David; Khoromskaia, Venera; Khoromskij, Boris N.; Matthies, Hermann G. 4 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 4 2020 Epistemic uncertainty-based model validation via interval propagation and parameter calibration. Zbl 1440.65056 Wang, Chong; Matthies, Hermann G.; Xu, Menghui; Li, Yunlong 4 2018 Computable error bounds for the generalized symmetric eigenproblem. Zbl 0602.65021 Matthies, H. G. 3 1985 Identification of properties of stochastic elastoplastic systems. Zbl 1304.93076 Rosić, Bojana V.; Matthies, Hermann G. 3 2013 Analysis of parametric models for coupled systems. Zbl 1432.93044 Matthies, Hermann G.; Ohayon, Roger 3 2020 Partitioned solution to fluid-structure interaction problem in application to free-surface flows. Zbl 1202.76051 Kassiotis, C.; Ibrahimbegovic, A.; Matthies, H. 3 2010 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 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 A subspace Lanczos method for the generalized symmetric eigenproblem. Zbl 0589.73079 Matthies, Hermann G. 2 1985 A subspace Lanczos algorithm with restarts and double re- orthogonalization. Zbl 0598.65018 Matthies, H. G. 2 1986 Meshfree Petrov-Galerkin methods for the incompressible Navier-Stokes equations. Zbl 1061.76059 Fries, Thomas-Peter; Matthies, Hermann Georg 2 2005 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 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 Sparse representations in stochastic mechanics. Zbl 1250.82003 Matthies, Hermann G.; Zander, Elmar 1 2011 Dual-stage uncertainty modeling and evaluation for transient temperature effect on structural vibration property. Zbl 1462.74069 Wang, Chong; Matthies, Hermann G. 1 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 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 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 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. 8 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 14 2020 A modified parallelepiped model for non-probabilistic uncertainty quantification and propagation analysis. Zbl 1506.74489 Wang, Chong; Matthies, Hermann G. 8 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 FFT-based homogenisation accelerated by low-rank tensor approximations. Zbl 1442.65410 Vondřejc, Jaroslav; Liu, Dishi; Ladecký, Martin; 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 4 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. 13 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. 4 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. 1 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. 11 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 4 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. 39 2015 Variational theory and computations in stochastic plasticity. Zbl 1348.74063 Rosić, Bojana V.; Matthies, Hermann G. 6 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 6 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 28 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 20 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 17 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. 21 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. 17 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. 29 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. 36 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 18 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 212 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. 54 2003 Sparse quadrature as an alternative to Monte Carlo for stochastic finite element techniques. Zbl 1354.65013 Keese, A.; Matthies, H. G. 31 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 94 1979 Existence theorems in thermo-plasticity. Zbl 0416.73091 Matthies, Hermann 5 1979 Finite element approximations in thermo-plasticity. Zbl 0439.73071 Matthies, Hermann 5 1979 all cited Publications top 5 cited Publications all top 5 Cited by 1,370 Authors 46 Matthies, Hermann Georg 16 Ibrahimbegović, Adnan 16 Nouy, Anthony 15 Tempone, Raúl F. 12 Eigel, Martin 12 Nobile, Fabio 12 Rosić, Bojana V. 11 Harbrecht, Helmut 11 Litvinenko, Alexander 10 Khoromskiĭ, Boris Nikolaevich 10 Poëtte, Gaël 10 Steinmann, Paul 9 Elman, Howard C. 9 Ghanem, Roger G. 9 Karniadakis, George Em 9 Kröker, Ilja 9 Multerer, Michael D. 9 Soize, Christian 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 Le Maître, Olivier P. 7 Lee, Kookjin 7 Lin, Guang 7 Perić, Djordje 6 Dolgov, Sergey V. 6 Doostan, Alireza 6 Knio, Omar M. 6 Marzouk, Youssef M. 6 Najm, Habib N. 6 Nguyen, Ngoc Cuong 6 Niekamp, Rainer 6 Papaioannou, Iason 6 Schwab, Christoph 6 Wang, Chong 6 Willner, Kai 5 Adhikari, Sondipon 5 Argyris, John Hadji 5 Barbieri, Ettore 5 Degroote, Joris 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 Nowak, Wolfgang 5 Oladyshkin, Sergey 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 Wick, Thomas 5 Wu, Jianying 5 Zhang, Xiaohua 5 Zhang, Zhiwen 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, Debraj 4 Ghosh, Somnath 4 Khan, Akhtar Ali 4 Kressner, Daniel 4 Kundu, Abhishek 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 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 3 Cui, Tiangang 3 Cyron, Christian Johannes 3 Deparis, Simone ...and 1,270 more Authors all top 5 Cited in 124 Serials 221 Computer Methods in Applied Mechanics and Engineering 79 Journal of Computational Physics 45 International Journal for Numerical Methods in Engineering 43 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 Computational Geosciences 9 Engineering Computations 9 International Journal of Computational Methods 8 Engineering Analysis with Boundary Elements 7 Journal of Scientific Computing 5 International Journal for Numerical Methods in Fluids 5 Mathematics and Computers in Simulation 5 SIAM Journal on Numerical Analysis 5 M\(^3\)AS. 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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 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 Franklin Institute 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 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Multibody System Dynamics 1 Optimization Methods & Software 1 Vychislitel’nye Tekhnologii 1 Mathematical and Computer Modelling of Dynamical Systems 1 Optimization and Engineering 1 International Journal of Nonlinear Sciences and Numerical Simulation ...and 24 more Serials all top 5 Cited in 35 Fields 460 Numerical analysis (65-XX) 341 Mechanics of deformable solids (74-XX) 175 Fluid mechanics (76-XX) 162 Probability theory and stochastic processes (60-XX) 142 Partial differential equations (35-XX) 76 Statistics (62-XX) 29 Biology and other natural sciences (92-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 18 Geophysics (86-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Operations research, mathematical programming (90-XX) 14 Computer science (68-XX) 12 Systems theory; control (93-XX) 11 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Ordinary differential equations (34-XX) 10 Mechanics of particles and systems (70-XX) 9 Operator theory (47-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) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mathematical logic and foundations (03-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-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