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Author ID: langer.ulrich Recent zbMATH articles by "Langer, Ulrich"
Published as: Langer, Ulrich; Langer, U.; Langer, Ulrich.
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Co-Authors

24 single-authored
16 Haase, Gundolf
11 Steinbach, Olaf
9 Korneev, Vadim Glebovich
8 Schöberl, Joachim
8 Yang, Huidong
7 Hofer, Christoph D.
7 Jung, Michael
7 Meyer, Arnd
7 Repin, Sergeĭ Igorevich
7 Toulopoulos, Ioannis
7 Wick, Thomas
6 Kolmbauer, Michael
6 Pechstein, Clemens
6 Reitzinger, Stefan
5 Endtmayer, Bernhard
5 Hofreither, Clemens
5 Neumüller, Martin
5 Pusch, David
4 Hiptmair, Ralf
4 Hoppe, Ronald H. W.
4 Mantzaflaris, Angelos
4 Moore, Stephen Edward
4 Queck, Werner
4 Schafelner, Andreas
4 Wolfmayr, Monika
4 Zulehner, Walter
3 Copeland, Dylan Matthew
3 Joly, Patrick
3 Lerch, Reinhard
3 Matculevich, Svetlana
3 Schinnerl, M.
3 Tröltzsch, Fredi
3 Xanthis, Leonidas Spyridon
2 Gangl, Peter
2 Jodlbauer, Daniel
2 Jüttler, Bert
2 Kaltenbacher, Manfred
2 Khoromskiĭ, Boris Nikolaevich
2 Pauly, Dirk
1 Amrhein, Wolfgang
1 Apel, Thomas
1 Bachinger, F.
1 Bahlmann, Dieter
1 Basting, Steffen
1 Beuchler, Sven
1 Birken, Philipp
1 Canic, Sunica
1 Carstensen, Carsten
1 Colciago, Claudia Maria
1 Dauge, Monique
1 Deparis, Simone
1 Discacciati, Marco
1 Douglas, Craig C.
1 Eibner, Tino
1 Forti, Davide
1 Frei, Stefan
1 Globisch, Gerhard
1 Glowinski, Roland
1 Graham, Ivan G.
1 Gruber, Peter Günther
1 Günther, Michael
1 Hoffman, Johan
1 Holm, Bärbel
1 Keyes, David Elliot
1 Kickinger, Ferdinand
1 Kienesberger, Johanna
1 Kollmann, Markus
1 Kraus, Johannes K.
1 Kuznetsov, Yurii Alekseevich
1 Laurain, Antoine
1 Lindner, Ewald Hans
1 Matsokin, Aleksandr
1 Meftahi, Houcine
1 Melenk, Jens Markus
1 Monge, Azahar
1 Monk, Peter B.
1 Mühlhuber, Wolfram
1 Neitzel, Ira
1 Nepomnyashchikh, Sergeĭ Vladimirovich
1 Of, Günther
1 Paule, Peter
1 Quaini, Annalisa
1 Richter, Thomas
1 Samrowski, Tatiana S.
1 Schanz, Martin
1 Schicho, Josef
1 Schneckenleitner, Rainer
1 Shokrpour Roudbari, Mahnaz
1 Şimşek, Görkem
1 Sini, Mourad
1 Sturm, Kevin
1 Takacs, Stefan
1 Thiele, J. P.
1 Tomar, Satyendra K.
1 Valdman, Jan
1 Van Brummelen, Harald
1 van der Zee, Kristoffer George
1 van Rienen, Ursula
1 Wendland, Wolfgang L.
1 Widlund, Olof B.
...and 4 more Co-Authors
all top 5

Serials

8 SIAM Journal on Scientific Computing
8 Computational Methods in Applied Mathematics
5 Computers & Mathematics with Applications
5 Oberwolfach Reports
5 Radon Series on Computational and Applied Mathematics
4 Computer Methods in Applied Mechanics and Engineering
4 Numerische Mathematik
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
3 Computing
3 U.S.S.R. Computational Mathematics and Mathematical Physics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Journal of Numerical Mathematics
2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
2 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Journal of Computational and Applied Mathematics
2 SIAM Journal on Numerical Analysis
2 Surveys on Mathematics for Industry
2 International Journal of Computer Mathematics
2 Computing and Visualization in Science
2 Lecture Notes in Computational Science and Engineering
1 BIT
1 Differential Equations
1 International Journal for Numerical Methods in Engineering
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Parallel Computing
1 Applied Numerical Mathematics
1 European Journal of Applied Mathematics
1 Numerical Linear Algebra with Applications
1 East-West Journal of Numerical Mathematics
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Hungarian Electronic Journal of Sciences. Applied and Numerical Mathematics Section
1 Journal of Applied Mathematics and Computing
1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1 Lecture Notes in Computer Science
1 Metody Vychisleniĭ
1 Teubner-Texte zur Mathematik
1 Software - Environments - Tools
1 Mathematics in Industry
1 Lecture Notes in Applied and Computational Mechanics
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Beiträge zur Numerischen Mathematik
1 Texts & Monographs in Symbolic Computation

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 681 times in 466 Documents Cited by Year
Numerical analysis of nonlinear multiharmonic eddy current problems. Zbl 1122.78016
Bachinger, F.; Langer, U.; Schöberl, J.
38
2005
Multipatch discontinuous Galerkin isogeometric analysis. Zbl 1334.65194
Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis
34
2015
Boundary element tearing and interconnecting methods. Zbl 1037.65123
Langer, U.; Steinbach, O.
30
2003
Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042
Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K.
26
2015
A robust preconditioned minres solver for distributed time-periodic eddy current optimal control problems. Zbl 1258.49059
Kolmbauer, Michael; Langer, Ulrich
25
2012
Space-time isogeometric analysis of parabolic evolution problems. Zbl 1436.76027
Langer, Ulrich; Moore, Stephen E.; Neumüller, Martin
21
2016
The approximate Dirichlet domain decomposition method. I: An algebraic approach. Zbl 0741.65091
Haase, G.; Langer, U.; Meyer, A.
17
1991
From the boundary element domain decomposition methods to local Trefftz finite element methods on polyhedral meshes. Zbl 1183.65158
Copeland, Dylan; Langer, Ulrich; Pusch, David
17
2009
Matrix generation in isogeometric analysis by low rank tensor approximation. Zbl 1360.65282
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, B. N.; Langer, Ulrich
17
2015
Low rank tensor methods in Galerkin-based isogeometric analysis. Zbl 1439.65185
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, Boris N.; Langer, Ulrich
16
2017
Fast parallel solvers for symmetric boundary element domain decomposition equations. Zbl 0907.65119
Carstensen, C.; Kuhn, M.; Langer, U.
16
1998
Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Zbl 1388.65152
Langer, Ulrich; Toulopoulos, Ioannis
16
2015
Two-side a posteriori error estimates for the dual-weighted residual method. Zbl 1440.65200
Endtmayer, B.; Langer, U.; Wick, T.
13
2020
Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition. Zbl 0798.65110
Langer, U.
13
1994
A robust finite element solver for a multiharmonic parabolic optimal control problem. Zbl 1319.49043
Kollmann, M.; Kolmbauer, M.; Langer, U.; Wolfmayr, M.; Zulehner, W.
13
2013
Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078
Langer, U.; Wolfmayr, M.
13
2013
The approximate Dirichlet domain decomposition method. II: Applications to 2nd-order elliptic B.V.P.s. Zbl 0741.65092
Haase, G.; Langer, U.; Meyer, A.
12
1991
Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations. Zbl 1439.65140
Hofer, Christoph; Langer, Ulrich
11
2017
Efficient preconditioners for boundary element matrices based on grey-box algebraic multigrid methods. Zbl 1035.65144
Langer, U.; Pusch, D.; Reitzinger, S.
11
2003
The regularity of solutions of problems from plastic-flow theory. Zbl 0574.73047
Korneev, V. G.; Langer, U.
11
1984
Inexact data-sparse boundary element tearing and interconnecting methods. Zbl 1133.65105
Langer, U.; Of, G.; Steinbach, O.; Zulehner, W.
11
2007
Hierarchical extension operators and local multigrid methods in domain decomposition preconditioners. Zbl 0849.65089
Haase, G.; Langer, U.; Meyer, A.; Nepomnyaschikh, S. V.
10
1994
Multigrid preconditioners and their applications. Zbl 0699.65076
Jung, Michael; Langer, Ulrich; Meyer, Arnd; Queck, Werner; Schneider, Manfred
10
1989
On the convergence factor of Uzawa’s algorithm. Zbl 0601.76021
Langer, U.; Queck, W.
9
1986
Approximate solution of plastic flow theory problems. Zbl 0555.73039
Korneev, Vadim G.; Langer, Ulrich
9
1984
Analysis of a non-standard finite element method based on boundary integral operators. Zbl 1205.65315
Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens
9
2010
Discontinuous Galerkin isogeometric analysis of elliptic PDEs on surfaces. Zbl 1339.65219
Langer, Ulrich; Moore, Stephen E.
9
2016
Applications of multilevel methods to practical problems. Zbl 0743.65031
Jung, Michael; Langer, Ulrich
8
1991
Dirichlet-Dirichlet domain decomposition methods for elliptic problems. \(h\) and \(hp\) finite element discretizations. Zbl 1323.65121
Korneev, Vadim Glebovich; Langer, Ulrich
8
2015
Parallel multigrid 3D Maxwell solvers. Zbl 0969.65128
Haase, G.; Kuhn, M.; Langer, U.
7
2001
On fast domain decomposition solving procedures for \(hp\)-discretizations of 3-D elliptic problems. Zbl 1038.65133
Korneev, V. G.; Langer, U.; Xanthis, L. S.
7
2003
The non-overlapping domain decomposition multiplicative Schwarz method. Zbl 0758.65024
Haase, Gundolf; Langer, Ulrich
7
1992
Discontinuous Galerkin isogeometric analysis of elliptic diffusion problems on segmentations with gaps. Zbl 1352.65509
Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis
7
2016
Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
7
2016
Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems. Zbl 1110.78009
Langer, U.; Pechstein, C.
7
2006
Matrix-free multigrid solvers for phase-field fracture problems. Zbl 07337916
Jodlbauer, D.; Langer, U.; Wick, T.
6
2020
Parallelization and preconditioning of the CG-method by means of domain decomposition. (Parallelisierung und Vorkonditionierung des CG-Verfahrens durch Gebietszerlegung.) Zbl 0797.65033
Haase, Gundolf; Langer, Ulrich; Meyer, Arnd
6
1993
Scientific computing tools for 3D magnetic field problems. Zbl 0983.78026
Kuhn, Michael; Langer, Ulrich; Schöberl, Joachim
6
2000
Coupled boundary and finite element tearing and interconnecting methods. Zbl 1066.65136
Langer, Ulrich; Steinbach, Olaf
6
2005
Preconditioned Uzawa-type iterative methods for solving mixed finite element equations. Theory - applications - software. Zbl 0619.65052
Langer, Ulrich; Queck, Werner
6
1987
A tutorial on elliptic PDE solvers and their parallelization. Zbl 1029.65121
Douglas, Craig C.; Haase, Gundolf; Langer, Ulrich
6
2003
Coupled finite and boundary element domain decomposition methods. Zbl 1298.65189
Langer, Ulrich; Steinbach, Olaf
6
2007
Space-time finite element methods for parabolic evolution problems with variable coefficients. Zbl 1433.65217
Langer, Ulrich; Neumüller, Martin; Schafelner, Andreas
5
2019
Adaptive domain decomposition methods for finite and boundary element equations. Zbl 0884.65109
Haase, G.; Heise, B.; Kuhn, M.; Langer, U.
5
1997
Data-sparse algebraic multigrid methods for large scale boundary element equations. Zbl 1073.65135
Langer, U.; Pusch, D.
5
2005
Multigrid methods: from geometrical to algebraic versions. Zbl 1054.65122
Haase, Gundolf; Langer, Ulrich; Reitzinger, Stefan
5
2002
Comparison of geometrical and algebraic multigrid preconditioners for data-sparse boundary element matrices. Zbl 1142.65346
Langer, U.; Pusch, D.
5
2006
A non-standard finite element method based on boundary integral operators. Zbl 1310.65146
Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens
5
2012
Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
4
2019
Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
4
2015
Efficient solvers for some classes of time-periodic eddy current optimal control problems. Zbl 1291.78065
Kolmbauer, Michael; Langer, Ulrich
4
2013
Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004
4
2017
Two-level hierarchically preconditioned conjugate gradient methods for solving linear elasticity finite element equations. Zbl 0701.65024
Jung, M.; Langer, U.; Semmler, U.
4
1989
A new approach to the Dirichlet domain decomposition method. Zbl 0714.65088
Haase, Gundolf; Langer, Ulrich; Meyer, Arnd
4
1990
Algebraic multigrid methods based on element preconditioning. Zbl 1027.65169
Haase, G.; Langer, U.; Reitzinger, S.; Schoberl, J.
4
2001
Partitioned solution algorithms for fluid-structure interaction problems with hyperelastic models. Zbl 1297.74039
Langer, Ulrich; Yang, Huidong
4
2015
Parallel and robust preconditioning for Space-Time isogeometric analysis of parabolic evolution problems. Zbl 1420.65022
Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Schneckenleitner, Rainer
4
2019
Isogeometric analysis on non-matching segmentation: discontinuous Galerkin techniques and efficient solvers. Zbl 1427.65404
Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis
4
2019
Primal and dual interface concentrated iterative substructuring methods. Zbl 1180.65144
Beuchler, Sven; Eibner, Tino; Langer, Ulrich
3
2008
On the use of multigrid preconditioners in the domain decomposition method. Zbl 0742.65084
Haase, G.; Langer, Ulrich
3
1991
Domain decomposition solvers for nonlinear multiharmonic finite element equations. Zbl 1204.65121
Copeland, D. M.; Langer, U.
3
2010
Topology optimization of electric machines based on topological sensitivity analysis. Zbl 1360.49036
Gangl, Peter; Langer, Ulrich
3
2012
Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems. Zbl 1394.35212
Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis
3
2018
Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2
2021
Unstructured space-time finite element methods for optimal control of parabolic equations. Zbl 1460.49002
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2
2021
Multigrid methods for the fast numerical simulation of coupled magnetomechanical systems. Zbl 0964.78019
Schinnerl, M.; Schöberl, J.; Kaltenbacher, M.; Langer, U.; Lerch, R.
2
2000
The efficient parallel solution of PDEs. Zbl 0874.65094
Haase, G.; Langer, U.
2
1996
Fast solvers and a posteriori error estimates in elastoplasticity. Zbl 06082197
Gruber, Peter G.; Kienesberger, Johanna; Langer, Ulrich; Schöberl, Joachim; Valdman, Jan
2
2012
Eigenvalue problems in surface acoustic wave filter simulations. Zbl 1308.76252
Zaglmayr, S.; Schöberl, J.; Langer, Ulrich
2
2006
An efficient method for the numerical simulation of magneto-mechanical sensors and actuators. Zbl 1167.74047
Schinnerl, M.; Kaltenbacher, M.; Langer, U.; Lerch, R.; Schöberl, J.
2
2007
Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Zbl 1130.65004
2
2008
Coupled FETI/BETI solvers for nonlinear potential problems in (un)bounded domains. Zbl 1132.78013
Langer, Ulrich; Pechstein, Clemens
2
2007
Numerical simulation of fluid-structure interaction problems with hyperelastic models: a monolithic approach. Zbl 1485.74097
Langer, Ulrich; Yang, Huidong
2
2018
Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering. Zbl 1476.65297
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
2
2021
Inexact dual-primal isogeometric tearing and interconnecting methods. Zbl 1450.65166
Hofer, Christoph; Langer, Ulrich; Takacs, Stefan
2
2018
Multipatch space-time isogeometric analysis of parabolic diffusion problems. Zbl 1465.65099
Langer, U.; Neumüller, M.; Toulopoulos, I.
2
2018
Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey
2
2019
Multigoal-oriented optimal control problems with nonlinear PDE constraints. Zbl 1445.49012
Endtmayer, Bernhard; Langer, Ulrich.; Neitzel, I.; Wick, Thomas; Wollner, W.
2
2020
Dual-primal isogeometric tearing and interconnecting methods. Zbl 1418.65130
Hofer, Christoph; Langer, Ulrich
2
2019
Space-time methods. Applications to partial differential equations. Zbl 1425.65008
2
2019
Domain decomposition vs. adaptivity. Zbl 0813.65132
Haase, Gundolf; Langer, Ulrich
1
1994
Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. Zbl 07379634
Langer, Ulrich; Zank, Marco
1
2021
Hierarchical DWR error estimates for the Navier-Stokes equations: \(h\) and \(p\) enrichment. Zbl 1470.65195
Endtmayer, B.; Langer, U.; Thiele, J. P.; Wick, T.
1
2021
Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Zbl 1422.65009
1
2019
Boundary and finite element domain decomposition methods. Zbl 1157.65505
Langer, U.
1
2008
Untersuchungen zum Kummerschen Verfahren zur numerischen Behandlung nichtlinearer Eigenwertaufgaben. Zbl 0363.65049
Langer, Ulrich
1
1977
Fast adaptive domain decomposition algorithms for \(hp\)-discretizations of 2-\(D\) and 3-\(D\) elliptic equations: recent advances. Zbl 1069.65136
Korneev, V.; Langer, U.; Xanthis, L.
1
2003
A frequency-robust solver for the time-harmonic eddy current problem. Zbl 1247.78040
Kolmbauer, Michael; Langer, Ulrich
1
2012
A fast iteration method for solving the first value problem for the biharmonic equation. Zbl 0647.65069
Langer, U.
1
1988
Symbolic and numerical scientific computation. Second international conference, SNSC 2001, Hagenberg, Austria, September 12–14, 2001. Revised papers. Zbl 1019.00016
1
2003
Symbolic methods for the element preconditioning technique. Zbl 1019.68145
Langer, Ulrich; Reitzinger, Stefan; Schicho, Josef
1
2003
Effektive Auflösungsverfahren für elliptische Randwertaufgaben in speziellen und beliebigen Gebieten. Zbl 0549.65077
Langer, Ulrich
1
1984
Iterative solution of some schemes of the finite element method for elliptic equations of order 2n,n\(\geq 1\). Zbl 0561.65081
Langer, U.
1
1983
Vorkonditionierte Iterationsverfahren vom UZAWA-Typ zur Lösung eines gemischten FEM-Schemas für das erste biharmonische Randwertproblem. I. Zbl 0565.65064
Langer, U.
1
1985
Schnelle Verfahren zur Lösung des ersten biharmonischen Randwertproblems. II. (Fast and memory-efficient methods for solving the first biharmonic boundary value problem in special and general regions. II). Zbl 0587.65067
Langer, U.
1
1986
Domain decomposition solvers for frequency-domain finite element equations. Zbl 1217.65186
Copeland, Dylan; Kolmbauer, Michael; Langer, Ulrich
1
2011
Numerical and symbolic scientific computing. Progress and prospects. Zbl 1234.65014
1
2012
Boundary element simulation of linear water waves in a model basin. Zbl 1280.76022
Hofreither, Clemens; Langer, Ulrich; Tomar, Satyendra
1
2010
Method of finite elements for engineers. An introduction to the numerical foundations and computer simulation. 2nd revised and extended ed. (Methode der finiten Elemente für Ingenieure. Eine Einführung in die numerischen Grundlagen und Computersimulation.) Zbl 1264.65001
Jung, Michael; Langer, Ulrich
1
2013
Direct and inverse problems in wave propagation and applications. Selected papers of the workshop on wave propagation and scattering, inverse problems and applications in energy and the environment, Linz, Austria, November 21–25, 2011. Zbl 1272.78001
1
2013
Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2
2021
Unstructured space-time finite element methods for optimal control of parabolic equations. Zbl 1460.49002
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2
2021
Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering. Zbl 1476.65297
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
2
2021
Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. Zbl 07379634
Langer, Ulrich; Zank, Marco
1
2021
Hierarchical DWR error estimates for the Navier-Stokes equations: \(h\) and \(p\) enrichment. Zbl 1470.65195
Endtmayer, B.; Langer, U.; Thiele, J. P.; Wick, T.
1
2021
Two-side a posteriori error estimates for the dual-weighted residual method. Zbl 1440.65200
Endtmayer, B.; Langer, U.; Wick, T.
13
2020
Matrix-free multigrid solvers for phase-field fracture problems. Zbl 07337916
Jodlbauer, D.; Langer, U.; Wick, T.
6
2020
Multigoal-oriented optimal control problems with nonlinear PDE constraints. Zbl 1445.49012
Endtmayer, Bernhard; Langer, Ulrich.; Neitzel, I.; Wick, Thomas; Wollner, W.
2
2020
Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources. Zbl 07284944
Langer, Ulrich; Schafelner, Andreas
1
2020
Space-time finite element methods for parabolic evolution problems with variable coefficients. Zbl 1433.65217
Langer, Ulrich; Neumüller, Martin; Schafelner, Andreas
5
2019
Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
4
2019
Parallel and robust preconditioning for Space-Time isogeometric analysis of parabolic evolution problems. Zbl 1420.65022
Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Schneckenleitner, Rainer
4
2019
Isogeometric analysis on non-matching segmentation: discontinuous Galerkin techniques and efficient solvers. Zbl 1427.65404
Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis
4
2019
Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey
2
2019
Dual-primal isogeometric tearing and interconnecting methods. Zbl 1418.65130
Hofer, Christoph; Langer, Ulrich
2
2019
Space-time methods. Applications to partial differential equations. Zbl 1425.65008
2
2019
Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Zbl 1422.65009
1
2019
Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems. Zbl 1443.65185
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey
1
2019
Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems. Zbl 1394.35212
Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis
3
2018
Numerical simulation of fluid-structure interaction problems with hyperelastic models: a monolithic approach. Zbl 1485.74097
Langer, Ulrich; Yang, Huidong
2
2018
Inexact dual-primal isogeometric tearing and interconnecting methods. Zbl 1450.65166
Hofer, Christoph; Langer, Ulrich; Takacs, Stefan
2
2018
Multipatch space-time isogeometric analysis of parabolic diffusion problems. Zbl 1465.65099
Langer, U.; Neumüller, M.; Toulopoulos, I.
2
2018
Low rank tensor methods in Galerkin-based isogeometric analysis. Zbl 1439.65185
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, Boris N.; Langer, Ulrich
16
2017
Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations. Zbl 1439.65140
Hofer, Christoph; Langer, Ulrich
11
2017
Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004
4
2017
Space-time isogeometric analysis of parabolic evolution problems. Zbl 1436.76027
Langer, Ulrich; Moore, Stephen E.; Neumüller, Martin
21
2016
Discontinuous Galerkin isogeometric analysis of elliptic PDEs on surfaces. Zbl 1339.65219
Langer, Ulrich; Moore, Stephen E.
9
2016
Discontinuous Galerkin isogeometric analysis of elliptic diffusion problems on segmentations with gaps. Zbl 1352.65509
Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis
7
2016
Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
7
2016
Multipatch discontinuous Galerkin isogeometric analysis. Zbl 1334.65194
Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis
34
2015
Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042
Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K.
26
2015
Matrix generation in isogeometric analysis by low rank tensor approximation. Zbl 1360.65282
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, B. N.; Langer, Ulrich
17
2015
Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Zbl 1388.65152
Langer, Ulrich; Toulopoulos, Ioannis
16
2015
Dirichlet-Dirichlet domain decomposition methods for elliptic problems. \(h\) and \(hp\) finite element discretizations. Zbl 1323.65121
Korneev, Vadim Glebovich; Langer, Ulrich
8
2015
Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
4
2015
Partitioned solution algorithms for fluid-structure interaction problems with hyperelastic models. Zbl 1297.74039
Langer, Ulrich; Yang, Huidong
4
2015
A robust finite element solver for a multiharmonic parabolic optimal control problem. Zbl 1319.49043
Kollmann, M.; Kolmbauer, M.; Langer, U.; Wolfmayr, M.; Zulehner, W.
13
2013
Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078
Langer, U.; Wolfmayr, M.
13
2013
Efficient solvers for some classes of time-periodic eddy current optimal control problems. Zbl 1291.78065
Kolmbauer, Michael; Langer, Ulrich
4
2013
Method of finite elements for engineers. An introduction to the numerical foundations and computer simulation. 2nd revised and extended ed. (Methode der finiten Elemente für Ingenieure. Eine Einführung in die numerischen Grundlagen und Computersimulation.) Zbl 1264.65001
Jung, Michael; Langer, Ulrich
1
2013
Direct and inverse problems in wave propagation and applications. Selected papers of the workshop on wave propagation and scattering, inverse problems and applications in energy and the environment, Linz, Austria, November 21–25, 2011. Zbl 1272.78001
1
2013
A robust preconditioned MinRes solver for time periodic eddy current problems. Zbl 1284.35421
Kolmbauer, Michael; Langer, Ulrich
1
2013
A robust preconditioned minres solver for distributed time-periodic eddy current optimal control problems. Zbl 1258.49059
Kolmbauer, Michael; Langer, Ulrich
25
2012
A non-standard finite element method based on boundary integral operators. Zbl 1310.65146
Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens
5
2012
Topology optimization of electric machines based on topological sensitivity analysis. Zbl 1360.49036
Gangl, Peter; Langer, Ulrich
3
2012
Fast solvers and a posteriori error estimates in elastoplasticity. Zbl 06082197
Gruber, Peter G.; Kienesberger, Johanna; Langer, Ulrich; Schöberl, Joachim; Valdman, Jan
2
2012
A frequency-robust solver for the time-harmonic eddy current problem. Zbl 1247.78040
Kolmbauer, Michael; Langer, Ulrich
1
2012
Numerical and symbolic scientific computing. Progress and prospects. Zbl 1234.65014
1
2012
Fast boundary element methods in engineering and industrial applications. Zbl 1235.65005
1
2012
Domain decomposition solvers for frequency-domain finite element equations. Zbl 1217.65186
Copeland, Dylan; Kolmbauer, Michael; Langer, Ulrich
1
2011
Analysis of a non-standard finite element method based on boundary integral operators. Zbl 1205.65315
Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens
9
2010
Domain decomposition solvers for nonlinear multiharmonic finite element equations. Zbl 1204.65121
Copeland, D. M.; Langer, U.
3
2010
Boundary element simulation of linear water waves in a model basin. Zbl 1280.76022
Hofreither, Clemens; Langer, Ulrich; Tomar, Satyendra
1
2010
From the boundary element domain decomposition methods to local Trefftz finite element methods on polyhedral meshes. Zbl 1183.65158
Copeland, Dylan; Langer, Ulrich; Pusch, David
17
2009
Primal and dual interface concentrated iterative substructuring methods. Zbl 1180.65144
Beuchler, Sven; Eibner, Tino; Langer, Ulrich
3
2008
Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Zbl 1130.65004
2
2008
Boundary and finite element domain decomposition methods. Zbl 1157.65505
Langer, U.
1
2008
Inexact data-sparse boundary element tearing and interconnecting methods. Zbl 1133.65105
Langer, U.; Of, G.; Steinbach, O.; Zulehner, W.
11
2007
Coupled finite and boundary element domain decomposition methods. Zbl 1298.65189
Langer, Ulrich; Steinbach, Olaf
6
2007
An efficient method for the numerical simulation of magneto-mechanical sensors and actuators. Zbl 1167.74047
Schinnerl, M.; Kaltenbacher, M.; Langer, U.; Lerch, R.; Schöberl, J.
2
2007
Coupled FETI/BETI solvers for nonlinear potential problems in (un)bounded domains. Zbl 1132.78013
Langer, Ulrich; Pechstein, Clemens
2
2007
Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems. Zbl 1110.78009
Langer, U.; Pechstein, C.
7
2006
Comparison of geometrical and algebraic multigrid preconditioners for data-sparse boundary element matrices. Zbl 1142.65346
Langer, U.; Pusch, D.
5
2006
Eigenvalue problems in surface acoustic wave filter simulations. Zbl 1308.76252
Zaglmayr, S.; Schöberl, J.; Langer, Ulrich
2
2006
Numerical analysis of nonlinear multiharmonic eddy current problems. Zbl 1122.78016
Bachinger, F.; Langer, U.; Schöberl, J.
38
2005
Coupled boundary and finite element tearing and interconnecting methods. Zbl 1066.65136
Langer, Ulrich; Steinbach, Olaf
6
2005
Data-sparse algebraic multigrid methods for large scale boundary element equations. Zbl 1073.65135
Langer, U.; Pusch, D.
5
2005
Boundary element tearing and interconnecting methods. Zbl 1037.65123
Langer, U.; Steinbach, O.
30
2003
Efficient preconditioners for boundary element matrices based on grey-box algebraic multigrid methods. Zbl 1035.65144
Langer, U.; Pusch, D.; Reitzinger, S.
11
2003
On fast domain decomposition solving procedures for \(hp\)-discretizations of 3-D elliptic problems. Zbl 1038.65133
Korneev, V. G.; Langer, U.; Xanthis, L. S.
7
2003
A tutorial on elliptic PDE solvers and their parallelization. Zbl 1029.65121
Douglas, Craig C.; Haase, Gundolf; Langer, Ulrich
6
2003
Fast adaptive domain decomposition algorithms for \(hp\)-discretizations of 2-\(D\) and 3-\(D\) elliptic equations: recent advances. Zbl 1069.65136
Korneev, V.; Langer, U.; Xanthis, L.
1
2003
Symbolic and numerical scientific computation. Second international conference, SNSC 2001, Hagenberg, Austria, September 12–14, 2001. Revised papers. Zbl 1019.00016
1
2003
Symbolic methods for the element preconditioning technique. Zbl 1019.68145
Langer, Ulrich; Reitzinger, Stefan; Schicho, Josef
1
2003
Multigrid methods: from geometrical to algebraic versions. Zbl 1054.65122
Haase, Gundolf; Langer, Ulrich; Reitzinger, Stefan
5
2002
Parallel multigrid 3D Maxwell solvers. Zbl 0969.65128
Haase, G.; Kuhn, M.; Langer, U.
7
2001
Algebraic multigrid methods based on element preconditioning. Zbl 1027.65169
Haase, G.; Langer, U.; Reitzinger, S.; Schoberl, J.
4
2001
Scientific computing tools for 3D magnetic field problems. Zbl 0983.78026
Kuhn, Michael; Langer, Ulrich; Schöberl, Joachim
6
2000
Multigrid methods for the fast numerical simulation of coupled magnetomechanical systems. Zbl 0964.78019
Schinnerl, M.; Schöberl, J.; Kaltenbacher, M.; Langer, U.; Lerch, R.
2
2000
Fast parallel solvers for symmetric boundary element domain decomposition equations. Zbl 0907.65119
Carstensen, C.; Kuhn, M.; Langer, U.
16
1998
Adaptive domain decomposition methods for finite and boundary element equations. Zbl 0884.65109
Haase, G.; Heise, B.; Kuhn, M.; Langer, U.
5
1997
The efficient parallel solution of PDEs. Zbl 0874.65094
Haase, G.; Langer, U.
2
1996
Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition. Zbl 0798.65110
Langer, U.
13
1994
Hierarchical extension operators and local multigrid methods in domain decomposition preconditioners. Zbl 0849.65089
Haase, G.; Langer, U.; Meyer, A.; Nepomnyaschikh, S. V.
10
1994
Domain decomposition vs. adaptivity. Zbl 0813.65132
Haase, Gundolf; Langer, Ulrich
1
1994
Parallelization and preconditioning of the CG-method by means of domain decomposition. (Parallelisierung und Vorkonditionierung des CG-Verfahrens durch Gebietszerlegung.) Zbl 0797.65033
Haase, Gundolf; Langer, Ulrich; Meyer, Arnd
6
1993
The non-overlapping domain decomposition multiplicative Schwarz method. Zbl 0758.65024
Haase, Gundolf; Langer, Ulrich
7
1992
The approximate Dirichlet domain decomposition method. I: An algebraic approach. Zbl 0741.65091
Haase, G.; Langer, U.; Meyer, A.
17
1991
The approximate Dirichlet domain decomposition method. II: Applications to 2nd-order elliptic B.V.P.s. Zbl 0741.65092
Haase, G.; Langer, U.; Meyer, A.
12
1991
Applications of multilevel methods to practical problems. Zbl 0743.65031
Jung, Michael; Langer, Ulrich
8
1991
On the use of multigrid preconditioners in the domain decomposition method. Zbl 0742.65084
Haase, G.; Langer, Ulrich
3
1991
A new approach to the Dirichlet domain decomposition method. Zbl 0714.65088
Haase, Gundolf; Langer, Ulrich; Meyer, Arnd
4
1990
Multigrid preconditioners and their applications. Zbl 0699.65076
Jung, Michael; Langer, Ulrich; Meyer, Arnd; Queck, Werner; Schneider, Manfred
10
1989
Two-level hierarchically preconditioned conjugate gradient methods for solving linear elasticity finite element equations. Zbl 0701.65024
Jung, M.; Langer, U.; Semmler, U.
4
1989
A fast iteration method for solving the first value problem for the biharmonic equation. Zbl 0647.65069
Langer, U.
1
1988
Preconditioned Uzawa-type iterative methods for solving mixed finite element equations. Theory - applications - software. Zbl 0619.65052
Langer, Ulrich; Queck, Werner
6
1987
On the convergence factor of Uzawa’s algorithm. Zbl 0601.76021
Langer, U.; Queck, W.
9
1986
Schnelle Verfahren zur Lösung des ersten biharmonischen Randwertproblems. II. (Fast and memory-efficient methods for solving the first biharmonic boundary value problem in special and general regions. II). Zbl 0587.65067
Langer, U.
1
1986
Vorkonditionierte Iterationsverfahren vom UZAWA-Typ zur Lösung eines gemischten FEM-Schemas für das erste biharmonische Randwertproblem. I. Zbl 0565.65064
Langer, U.
1
1985
The regularity of solutions of problems from plastic-flow theory. Zbl 0574.73047
Korneev, V. G.; Langer, U.
11
1984
...and 5 more Documents
all top 5

Cited by 696 Authors

43 Langer, Ulrich
17 Steinbach, Olaf
14 Wick, Thomas
13 Axelsson, Axel Owe Holger
13 Jüttler, Bert
11 Hofer, Christoph D.
10 Toulopoulos, Ioannis
10 Weißer, Steffen
9 Haase, Gundolf
9 Pechstein, Clemens
8 Mantzaflaris, Angelos
8 Schöberl, Joachim
8 Tröltzsch, Fredi
7 Tani, Mattia
7 Yang, Huidong
6 Beuchler, Sven
6 Of, Günther
6 Repin, Sergeĭ Igorevich
6 Sangalli, Giancarlo
6 Siebenborn, Martin
6 Wolfmayr, Monika
5 Kraus, Johannes K.
5 Laurain, Antoine
5 Liang, Zhaozheng
5 Reitzinger, Stefan
5 Takacs, Stefan
5 Welker, Kathrin
5 Yousept, Irwin
5 Zou, Jun
4 Angelov, Todor Angelov
4 Claeys, Xavier
4 Endtmayer, Bernhard
4 Hiptmair, Ralf
4 Hsiao, George C.
4 Jung, Michael
4 Korneev, Vadim Glebovich
4 Moore, Stephen Edward
4 Neumüller, Martin
4 Neytcheva, Maya G.
4 Nicaise, Serge
4 Ovall, Jeffrey S.
4 Pan, Maodong
4 Pan, Xingbin
4 Scheichl, Robert
4 Schöps, Sebastian
4 Sturm, Kevin
4 Zhang, Guofeng
4 Zheng, Weiying
3 Blaheta, Radim
3 Bouchala, Jiří
3 Chen, Falai
3 Dostál, Zdeněk
3 Elleithy, Wael M.
3 Führer, Thomas
3 Gangl, Peter
3 Heuer, Norbert
3 Hughes, Thomas J. R.
3 Jiang, Xue
3 Kaltenbacher, Manfred
3 Khoromskiĭ, Boris Nikolaevich
3 Ledger, Paul David
3 Leithäuser, Christian
3 Lukáš, Dalibor
3 Manohar, Ram P.
3 Mellado, Mario E.
3 Montardini, Monica
3 Niyonzima, Innocent
3 Noii, Nima
3 Reynolds, Samuel E.
3 Sadowská, Marie
3 Schafelner, Andreas
3 Schneckenleitner, Rainer
3 Scholz, Felix
3 Schulz, Volker H.
3 Simeon, Bernd
3 Sinha, Rajen Kumar
3 Stephan, Ernst Peter
3 Stevenson, Rob P.
3 Valli, Alberto
3 Vodička, Roman
3 Wendland, Wolfgang L.
3 Wriggers, Peter
3 Zank, Marco
2 Acevedo, Ramiro
2 Aldakheel, Fadi
2 Anand, Akash
2 Antolin, Pablo
2 Arioli, Clarissa
2 Augustin, Christoph M.
2 Bartel, Andreas
2 Bastl, Bohumír
2 Bause, Markus
2 Benedusi, Pietro
2 Blauth, Sebastian
2 Braess, Dietrich
2 Bramble, James H.
2 Buchegger, Florian
2 Chan, Jesse
2 Cho, Durkbin
2 Clemens, Markus
...and 596 more Authors
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Cited in 103 Serials

56 Computer Methods in Applied Mechanics and Engineering
35 Computers & Mathematics with Applications
22 SIAM Journal on Scientific Computing
17 Journal of Computational and Applied Mathematics
15 Computing
14 Numerische Mathematik
13 Journal of Computational Physics
13 International Journal for Numerical Methods in Engineering
12 Applied Numerical Mathematics
12 Computational Methods in Applied Mathematics
11 Numerical Linear Algebra with Applications
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Computational Mechanics
8 Mathematics of Computation
8 SIAM Journal on Numerical Analysis
7 Applied Mathematics and Computation
7 Mathematics and Computers in Simulation
7 Journal of Scientific Computing
6 Applicable Analysis
6 COMPEL
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 ETNA. Electronic Transactions on Numerical Analysis
6 Engineering Analysis with Boundary Elements
6 Computing and Visualization in Science
5 Mathematical Methods in the Applied Sciences
5 Numerical Algorithms
5 Advances in Computational Mathematics
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 International Journal of Engineering Science
3 Journal of Optimization Theory and Applications
3 Computer Aided Geometric Design
3 Numerical Methods for Partial Differential Equations
3 Computational Mathematics and Mathematical Physics
3 SIAM Journal on Optimization
3 Mathematical Problems in Engineering
3 Archives of Computational Methods in Engineering
3 Journal of Numerical Mathematics
2 Journal of Mathematical Analysis and Applications
2 Applied Mathematics and Optimization
2 BIT
2 Applied Mathematics Letters
2 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 Linear Algebra and its Applications
2 Vietnam Journal of Mathematics
2 Optimization Methods & Software
2 Journal of Mathematical Fluid Mechanics
2 Multiscale Modeling & Simulation
2 Communications in Computational Physics
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Mathematics in Industry
2 Communications in Mathematics and Statistics
1 Computers and Fluids
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Journal of the Mechanics and Physics of Solids
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Advances in Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Journal of Computational Mathematics
1 Parallel Computing
1 Optimization
1 Computational Mathematics and Modeling
1 Japan Journal of Industrial and Applied Mathematics
1 Applications of Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Computational Optimization and Applications
1 Calculus of Variations and Partial Differential Equations
1 Communications in Numerical Methods in Engineering
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 European Journal of Mechanics. A. Solids
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Engineering Computations
1 Lobachevskii Journal of Mathematics
1 Differential Equations
1 Mathematical Modelling and Analysis
1 Journal of Applied Mathematics and Computing
1 Journal of Computational Acoustics
1 International Journal of Parallel, Emergent and Distributed Systems
1 Frontiers of Mathematics in China
1 Mathematical Control and Related Fields
1 Journal of Modern Methods in Numerical Mathematics
1 Evolution Equations and Control Theory
1 SIAM/ASA Journal on Uncertainty Quantification
...and 3 more Serials
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Cited in 35 Fields

365 Numerical analysis (65-XX)
179 Partial differential equations (35-XX)
104 Mechanics of deformable solids (74-XX)
73 Calculus of variations and optimal control; optimization (49-XX)
64 Optics, electromagnetic theory (78-XX)
52 Fluid mechanics (76-XX)
13 Computer science (68-XX)
9 Biology and other natural sciences (92-XX)
7 Classical thermodynamics, heat transfer (80-XX)
7 Operations research, mathematical programming (90-XX)
6 Potential theory (31-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Systems theory; control (93-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Operator theory (47-XX)
4 Manifolds and cell complexes (57-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Geophysics (86-XX)
2 General and overarching topics; collections (00-XX)
2 Ordinary differential equations (34-XX)
2 Approximations and expansions (41-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Real functions (26-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Convex and discrete geometry (52-XX)
1 Quantum theory (81-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

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