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Author ID: langer.ulrich Recent zbMATH articles by "Langer, Ulrich"
Published as: Langer, Ulrich; Langer, U.; Langer, Ulrich.
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
all top 5

Co-Authors

24 single-authored
19 Steinbach, Olaf
16 Haase, Gundolf
16 Yang, Huidong
10 Hofer, Christoph D.
10 Wick, Thomas
9 Korneev, Vadim Glebovich
9 Repin, Sergeĭ Igorevich
9 Schöberl, Joachim
8 Schafelner, Andreas
8 Toulopoulos, Ioannis
7 Jung, Michael
7 Meyer, Arnd
7 Pechstein, Clemens
6 Endtmayer, Bernhard
6 Hofreither, Clemens
6 Kolmbauer, Michael
6 Neumüller, Martin
6 Reitzinger, Stefan
5 Jodlbauer, Daniel
5 Mantzaflaris, Angelos
5 Matculevich, Svetlana
5 Pusch, David
5 Zulehner, Walter
4 Gangl, Peter
4 Hiptmair, Ralf
4 Hoppe, Ronald H. W.
4 Löscher, Richard
4 Moore, Stephen Edward
4 Queck, Werner
4 Tröltzsch, Fredi
4 Wolfmayr, Monika
3 Copeland, Dylan Matthew
3 Joly, Patrick
3 Lerch, Reinhard
3 Schinnerl, M.
3 Xanthis, Leonidas Spyridon
2 Bachinger, Florian
2 Jüttler, Bert
2 Kaltenbacher, Manfred
2 Khoromskiĭ, Boris Nikolaevich
2 Pauly, Dirk
2 Schneckenleitner, Rainer
2 Wendland, Wolfgang L.
1 Amrhein, Wolfgang
1 Apel, Thomas
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 Schneider, Manfred
1 Shokrpour Roudbari, Mahnaz
1 Şimşek, Görkem
1 Sini, Mourad
1 Sturm, Kevin
1 Takacs, Stefan
1 Thiele, Jan Philipp
1 Tomar, Satyendra K.
1 Valdman, Jan
1 Van Brummelen, Harald
1 van der Zee, Kristoffer George
...and 7 more Co-Authors
all top 5

Serials

10 Computational Methods in Applied Mathematics
8 SIAM Journal on Scientific Computing
5 Computers & Mathematics with Applications
5 Computing and Visualization in Science
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Oberwolfach Reports
5 Radon Series on Computational and Applied Mathematics
4 Computer Methods in Applied Mechanics and Engineering
4 Numerische Mathematik
4 Journal of Numerical Mathematics
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
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 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
1 Wissenschaftliche Schriftenreihe der Technischen Universität Karl-Marx-Stadt

Publications by Year

Citations contained in zbMATH Open

119 Publications have been cited 964 times in 621 Documents Cited by Year
Numerical analysis of nonlinear multiharmonic eddy current problems. Zbl 1122.78016
Bachinger, F.; Langer, U.; Schöberl, J.
45
2005
Multipatch discontinuous Galerkin isogeometric analysis. Zbl 1334.65194
Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis
42
2015
Space-time isogeometric analysis of parabolic evolution problems. Zbl 1436.76027
Langer, Ulrich; Moore, Stephen E.; Neumüller, Martin
39
2016
Low rank tensor methods in Galerkin-based isogeometric analysis. Zbl 1439.65185
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, Boris N.; Langer, Ulrich
38
2017
Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042
Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K.
37
2015
Boundary element tearing and interconnecting methods. Zbl 1037.65123
Langer, U.; Steinbach, O.
35
2003
A robust preconditioned minres solver for distributed time-periodic eddy current optimal control problems. Zbl 1258.49059
Kolmbauer, Michael; Langer, Ulrich
32
2012
Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations. Zbl 1439.65140
Hofer, Christoph; Langer, Ulrich
25
2017
Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Zbl 1388.65152
Langer, Ulrich; Toulopoulos, Ioannis
22
2015
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
21
2009
The approximate Dirichlet domain decomposition method. I: An algebraic approach. Zbl 0741.65091
Haase, G.; Langer, U.; Meyer, A.
19
1991
Matrix generation in isogeometric analysis by low rank tensor approximation. Zbl 1360.65282
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, B. N.; Langer, Ulrich
18
2015
Fast parallel solvers for symmetric boundary element domain decomposition equations. Zbl 0907.65119
Carstensen, C.; Kuhn, M.; Langer, U.
18
1998
Matrix-free multigrid solvers for phase-field fracture problems. Zbl 1506.74355
Jodlbauer, D.; Langer, U.; Wick, T.
18
2020
Two-side a posteriori error estimates for the dual-weighted residual method. Zbl 1440.65200
Endtmayer, B.; Langer, U.; Wick, T.
17
2020
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.
16
2013
Efficient preconditioners for boundary element matrices based on grey-box algebraic multigrid methods. Zbl 1035.65144
Langer, U.; Pusch, D.; Reitzinger, S.
16
2003
Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition. Zbl 0798.65110
Langer, U.
15
1994
Inexact data-sparse boundary element tearing and interconnecting methods. Zbl 1133.65105
Langer, U.; Of, G.; Steinbach, O.; Zulehner, W.
14
2007
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.
13
1991
Analysis of a non-standard finite element method based on boundary integral operators. Zbl 1205.65315
Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens
13
2010
Space-time methods. Applications to partial differential equations. Zbl 1425.65008
12
2019
Multigrid preconditioners and their applications. Zbl 0699.65076
Jung, Michael; Langer, Ulrich; Meyer, Arnd; Queck, Werner; Schneider, Manfred
12
1989
Discontinuous Galerkin isogeometric analysis of elliptic PDEs on surfaces. Zbl 1339.65219
Langer, Ulrich; Moore, Stephen E.
12
2016
Parallel multigrid 3D Maxwell solvers. Zbl 0969.65128
Haase, G.; Kuhn, M.; Langer, U.
11
2001
The regularity of solutions of problems from plastic-flow theory. Zbl 0574.73047
Korneev, V. G.; Langer, U.
11
1984
On the convergence factor of Uzawa’s algorithm. Zbl 0601.76021
Langer, U.; Queck, W.
11
1986
Hierarchical extension operators and local multigrid methods in domain decomposition preconditioners. Zbl 0849.65089
Haase, G.; Langer, U.; Meyer, A.; Nepomnyaschikh, S. V.
11
1994
Unstructured space-time finite element methods for optimal control of parabolic equations. Zbl 1460.49002
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
11
2021
Dirichlet-Dirichlet domain decomposition methods for elliptic problems. \(h\) and \(hp\) finite element discretizations. Zbl 1323.65121
Korneev, Vadim Glebovich; Langer, Ulrich
10
2015
Discontinuous Galerkin isogeometric analysis of elliptic diffusion problems on segmentations with gaps. Zbl 1352.65509
Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis
9
2016
Coupled boundary and finite element tearing and interconnecting methods. Zbl 1066.65136
Langer, Ulrich; Steinbach, Olaf
9
2005
Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004
9
2017
Parallel and robust preconditioning for Space-Time isogeometric analysis of parabolic evolution problems. Zbl 1420.65022
Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Schneckenleitner, Rainer
9
2019
Approximate solution of plastic flow theory problems. Zbl 0555.73039
Korneev, Vadim G.; Langer, Ulrich
9
1984
Applications of multilevel methods to practical problems. Zbl 0743.65031
Jung, Michael; Langer, Ulrich
9
1991
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.
9
2003
Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
8
2016
Coupled finite and boundary element domain decomposition methods. Zbl 1298.65189
Langer, Ulrich; Steinbach, Olaf
8
2007
Isogeometric analysis on non-matching segmentation: discontinuous Galerkin techniques and efficient solvers. Zbl 1427.65404
Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis
8
2019
Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
8
2021
The non-overlapping domain decomposition multiplicative Schwarz method. Zbl 0758.65024
Haase, Gundolf; Langer, Ulrich
8
1992
Space-time finite element methods for parabolic evolution problems with variable coefficients. Zbl 1433.65217
Langer, Ulrich; Neumüller, Martin; Schafelner, Andreas
8
2019
Efficient solvers for nonlinear time-periodic eddy current problems. Zbl 1512.78042
Bachinger, Florian; Langer, Ulrich; Schöberl, Joachim
8
2006
A tutorial on elliptic PDE solvers and their parallelization. Zbl 1029.65121
Douglas, Craig C.; Haase, Gundolf; Langer, Ulrich
8
2003
Scientific computing tools for 3D magnetic field problems. Zbl 0983.78026
Kuhn, Michael; Langer, Ulrich; Schöberl, Joachim
7
2000
Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems. Zbl 1110.78009
Langer, U.; Pechstein, C.
7
2006
Data-sparse algebraic multigrid methods for large scale boundary element equations. Zbl 1073.65135
Langer, U.; Pusch, D.
7
2005
Preconditioned Uzawa-type iterative methods for solving mixed finite element equations. Theory - applications - software. Zbl 0619.65052
Langer, Ulrich; Queck, Werner
6
1987
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
Adaptive domain decomposition methods for finite and boundary element equations. Zbl 0884.65109
Haase, G.; Heise, B.; Kuhn, M.; Langer, U.
6
1997
Multigrid methods: from geometrical to algebraic versions. Zbl 1054.65122
Haase, Gundolf; Langer, Ulrich; Reitzinger, Stefan
6
2002
Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
6
2019
Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources. Zbl 1508.65130
Langer, Ulrich; Schafelner, Andreas
6
2020
Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems. Zbl 1394.35212
Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis
5
2018
A new approach to the Dirichlet domain decomposition method. Zbl 0714.65088
Haase, Gundolf; Langer, Ulrich; Meyer, Arnd
5
1990
Partitioned solution algorithms for fluid-structure interaction problems with hyperelastic models. Zbl 1297.74039
Langer, Ulrich; Yang, Huidong
5
2015
Comparison of geometrical and algebraic multigrid preconditioners for data-sparse boundary element matrices. Zbl 1142.65346
Langer, U.; Pusch, D.
5
2006
Efficient solvers for some classes of time-periodic eddy current optimal control problems. Zbl 1291.78065
Kolmbauer, Michael; Langer, Ulrich
5
2013
A non-standard finite element method based on boundary integral operators. Zbl 1310.65146
Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens
5
2012
Dual-primal isogeometric tearing and interconnecting methods. Zbl 1418.65130
Hofer, Christoph; Langer, Ulrich
5
2019
Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering. Zbl 1476.65297
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
5
2021
Numerical simulation of fluid-structure interaction problems with hyperelastic models: a monolithic approach. Zbl 1485.74097
Langer, Ulrich; Yang, Huidong
5
2018
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
5
2019
Algebraic multigrid methods based on element preconditioning. Zbl 1027.65169
Haase, G.; Langer, U.; Reitzinger, S.; Schoberl, J.
4
2001
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
Topology optimization of electric machines based on topological sensitivity analysis. Zbl 1360.49036
Gangl, Peter; Langer, Ulrich
4
2012
Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
4
2015
On the use of multigrid preconditioners in the domain decomposition method. Zbl 0742.65084
Haase, G.; Langer, Ulrich
4
1991
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
4
2013
Domain decomposition solvers for nonlinear multiharmonic finite element equations. Zbl 1204.65121
Copeland, D. M.; Langer, U.
4
2010
Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. Zbl 07379634
Langer, Ulrich; Zank, Marco
4
2021
Untersuchungen zum Kummerschen Verfahren zur numerischen Behandlung nichtlinearer Eigenwertaufgaben. Zbl 0363.65049
Langer, Ulrich
3
1977
Eigenvalue problems in surface acoustic wave filter simulations. Zbl 1308.76252
Zaglmayr, S.; Schöberl, J.; Langer, Ulrich
3
2006
Primal and dual interface concentrated iterative substructuring methods. Zbl 1180.65144
Beuchler, Sven; Eibner, Tino; Langer, Ulrich
3
2008
Domain decomposition solvers for frequency-domain finite element equations. Zbl 1217.65186
Copeland, Dylan; Kolmbauer, Michael; Langer, Ulrich
3
2011
Robust discretization and solvers for elliptic optimal control problems with energy regularization. Zbl 1484.49048
Langer, Ulrich; Steinbach, Olaf; Yang, Huidong
3
2022
Adaptive space-time finite element methods for parabolic optimal control problems. Zbl 1527.65099
Langer, Ulrich; Schafelner, Andreas
3
2022
Robust finite element discretization and solvers for distributed elliptic optimal control problems. Zbl 07766473
Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong
3
2023
Coupled FETI/BETI solvers for nonlinear potential problems in (un)bounded domains. Zbl 1132.78013
Langer, Ulrich; Pechstein, Clemens
3
2007
Inexact dual-primal isogeometric tearing and interconnecting methods. Zbl 1450.65166
Hofer, Christoph; Langer, Ulrich; Takacs, Stefan
3
2018
Multipatch space-time isogeometric analysis of parabolic diffusion problems. Zbl 1465.65099
Langer, U.; Neumüller, M.; Toulopoulos, I.
3
2018
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 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.
2
2003
The efficient parallel solution of PDEs. Zbl 0874.65094
Haase, G.; Langer, U.
2
1996
Fast boundary element methods in engineering and industrial applications. Zbl 1235.65005
2
2012
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
2
2013
Unstructured space-time finite element methods for optimal sparse control of parabolic equations. Zbl 1487.49004
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2
2022
Numerical and symbolic scientific computing. Progress and prospects. Zbl 1234.65014
2
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
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
Symbolic methods for the element preconditioning technique. Zbl 1019.68145
Langer, Ulrich; Reitzinger, Stefan; Schicho, Josef
2
2003
Mesh grading in isogeometric analysis. Zbl 1443.65356
Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis
2
2015
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
BEM-based finite element tearing and interconnecting methods. Zbl 1327.65060
Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens
1
2015
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
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
Robust finite element discretization and solvers for distributed elliptic optimal control problems. Zbl 07766473
Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong
3
2023
Robust discretization and solvers for elliptic optimal control problems with energy regularization. Zbl 1484.49048
Langer, Ulrich; Steinbach, Olaf; Yang, Huidong
3
2022
Adaptive space-time finite element methods for parabolic optimal control problems. Zbl 1527.65099
Langer, Ulrich; Schafelner, Andreas
3
2022
Unstructured space-time finite element methods for optimal sparse control of parabolic equations. Zbl 1487.49004
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2
2022
Simultaneous space-time finite element methods for parabolic optimal control problems. Zbl 1487.49003
Langer, Ulrich; Schafelner, Andreas
1
2022
Unstructured space-time finite element methods for optimal control of parabolic equations. Zbl 1460.49002
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
11
2021
Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
8
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
5
2021
Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. Zbl 07379634
Langer, Ulrich; Zank, Marco
4
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
Matrix-free multigrid solvers for phase-field fracture problems. Zbl 1506.74355
Jodlbauer, D.; Langer, U.; Wick, T.
18
2020
Two-side a posteriori error estimates for the dual-weighted residual method. Zbl 1440.65200
Endtmayer, B.; Langer, U.; Wick, T.
17
2020
Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources. Zbl 1508.65130
Langer, Ulrich; Schafelner, Andreas
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
BDDC preconditioners for a space-time finite element discretization of parabolic problems. Zbl 1502.65102
Langer, Ulrich; Yang, Huidong
1
2020
Space-time finite element methods for parabolic initial-boundary value problems with non-smooth solutions. Zbl 1465.65098
Langer, Ulrich; Schafelner, Andreas
1
2020
Space-time methods. Applications to partial differential equations. Zbl 1425.65008
12
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
9
2019
Isogeometric analysis on non-matching segmentation: discontinuous Galerkin techniques and efficient solvers. Zbl 1427.65404
Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis
8
2019
Space-time finite element methods for parabolic evolution problems with variable coefficients. Zbl 1433.65217
Langer, Ulrich; Neumüller, Martin; Schafelner, Andreas
8
2019
Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
6
2019
Dual-primal isogeometric tearing and interconnecting methods. Zbl 1418.65130
Hofer, Christoph; Langer, Ulrich
5
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
5
2019
Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey
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
Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems. Zbl 1394.35212
Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis
5
2018
Numerical simulation of fluid-structure interaction problems with hyperelastic models: a monolithic approach. Zbl 1485.74097
Langer, Ulrich; Yang, Huidong
5
2018
Inexact dual-primal isogeometric tearing and interconnecting methods. Zbl 1450.65166
Hofer, Christoph; Langer, Ulrich; Takacs, Stefan
3
2018
Multipatch space-time isogeometric analysis of parabolic diffusion problems. Zbl 1465.65099
Langer, U.; Neumüller, M.; Toulopoulos, I.
3
2018
Low rank tensor methods in Galerkin-based isogeometric analysis. Zbl 1439.65185
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, Boris N.; Langer, Ulrich
38
2017
Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations. Zbl 1439.65140
Hofer, Christoph; Langer, Ulrich
25
2017
Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004
9
2017
Space-time isogeometric analysis of parabolic evolution problems. Zbl 1436.76027
Langer, Ulrich; Moore, Stephen E.; Neumüller, Martin
39
2016
Discontinuous Galerkin isogeometric analysis of elliptic PDEs on surfaces. Zbl 1339.65219
Langer, Ulrich; Moore, Stephen E.
12
2016
Discontinuous Galerkin isogeometric analysis of elliptic diffusion problems on segmentations with gaps. Zbl 1352.65509
Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis
9
2016
Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
8
2016
Multipatch discontinuous Galerkin isogeometric analysis. Zbl 1334.65194
Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis
42
2015
Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042
Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K.
37
2015
Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Zbl 1388.65152
Langer, Ulrich; Toulopoulos, Ioannis
22
2015
Matrix generation in isogeometric analysis by low rank tensor approximation. Zbl 1360.65282
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, B. N.; Langer, Ulrich
18
2015
Dirichlet-Dirichlet domain decomposition methods for elliptic problems. \(h\) and \(hp\) finite element discretizations. Zbl 1323.65121
Korneev, Vadim Glebovich; Langer, Ulrich
10
2015
Partitioned solution algorithms for fluid-structure interaction problems with hyperelastic models. Zbl 1297.74039
Langer, Ulrich; Yang, Huidong
5
2015
Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika
4
2015
Mesh grading in isogeometric analysis. Zbl 1443.65356
Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis
2
2015
BEM-based finite element tearing and interconnecting methods. Zbl 1327.65060
Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens
1
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.
16
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
5
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
4
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
2
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
32
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
4
2012
Fast boundary element methods in engineering and industrial applications. Zbl 1235.65005
2
2012
Numerical and symbolic scientific computing. Progress and prospects. Zbl 1234.65014
2
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
Domain decomposition solvers for frequency-domain finite element equations. Zbl 1217.65186
Copeland, Dylan; Kolmbauer, Michael; Langer, Ulrich
3
2011
Analysis of a non-standard finite element method based on boundary integral operators. Zbl 1205.65315
Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens
13
2010
Domain decomposition solvers for nonlinear multiharmonic finite element equations. Zbl 1204.65121
Copeland, D. M.; Langer, U.
4
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
21
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.
14
2007
Coupled finite and boundary element domain decomposition methods. Zbl 1298.65189
Langer, Ulrich; Steinbach, Olaf
8
2007
Coupled FETI/BETI solvers for nonlinear potential problems in (un)bounded domains. Zbl 1132.78013
Langer, Ulrich; Pechstein, Clemens
3
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
Efficient solvers for nonlinear time-periodic eddy current problems. Zbl 1512.78042
Bachinger, Florian; Langer, Ulrich; Schöberl, Joachim
8
2006
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
3
2006
Numerical analysis of nonlinear multiharmonic eddy current problems. Zbl 1122.78016
Bachinger, F.; Langer, U.; Schöberl, J.
45
2005
Coupled boundary and finite element tearing and interconnecting methods. Zbl 1066.65136
Langer, Ulrich; Steinbach, Olaf
9
2005
Data-sparse algebraic multigrid methods for large scale boundary element equations. Zbl 1073.65135
Langer, U.; Pusch, D.
7
2005
Editorial: Special issue dedicated to George C. Hsiao on the occasion of his 70th birthday. Zbl 1512.00011
1
2005
Boundary element tearing and interconnecting methods. Zbl 1037.65123
Langer, U.; Steinbach, O.
35
2003
Efficient preconditioners for boundary element matrices based on grey-box algebraic multigrid methods. Zbl 1035.65144
Langer, U.; Pusch, D.; Reitzinger, S.
16
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.
9
2003
A tutorial on elliptic PDE solvers and their parallelization. Zbl 1029.65121
Douglas, Craig C.; Haase, Gundolf; Langer, Ulrich
8
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.
2
2003
Symbolic methods for the element preconditioning technique. Zbl 1019.68145
Langer, Ulrich; Reitzinger, Stefan; Schicho, Josef
2
2003
Symbolic and numerical scientific computation. Second international conference, SNSC 2001, Hagenberg, Austria, September 12–14, 2001. Revised papers. Zbl 1019.00016
1
2003
Multigrid methods: from geometrical to algebraic versions. Zbl 1054.65122
Haase, Gundolf; Langer, Ulrich; Reitzinger, Stefan
6
2002
Parallel multigrid 3D Maxwell solvers. Zbl 0969.65128
Haase, G.; Kuhn, M.; Langer, U.
11
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
7
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.
18
1998
Adaptive domain decomposition methods for finite and boundary element equations. Zbl 0884.65109
Haase, G.; Heise, B.; Kuhn, M.; Langer, U.
6
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.
15
1994
Hierarchical extension operators and local multigrid methods in domain decomposition preconditioners. Zbl 0849.65089
Haase, G.; Langer, U.; Meyer, A.; Nepomnyaschikh, S. V.
11
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
8
1992
A fast solver for the first biharmonic boundary value problem. Zbl 0762.65055
Bahlmann, Dieter; Langer, Ulrich
1
1992
The approximate Dirichlet domain decomposition method. I: An algebraic approach. Zbl 0741.65091
Haase, G.; Langer, U.; Meyer, A.
19
1991
...and 19 more Documents
all top 5

Cited by 939 Authors

53 Langer, Ulrich
20 Steinbach, Olaf
18 Wick, Thomas
15 Jüttler, Bert
13 Axelsson, Axel Owe Holger
13 Sangalli, Giancarlo
12 Pechstein, Clemens
12 Tani, Mattia
11 Hofer, Christoph D.
11 Takacs, Stefan
11 Toulopoulos, Ioannis
11 Weißer, Steffen
10 Haase, Gundolf
10 Schöberl, Joachim
9 Mantzaflaris, Angelos
8 Beuchler, Sven
8 Tröltzsch, Fredi
8 Yang, Huidong
7 Reitzinger, Stefan
7 Repin, Sergeĭ Igorevich
7 Siebenborn, Martin
7 Stevenson, Rob P.
6 Korneev, Vadim Glebovich
6 Laurain, Antoine
6 Montardini, Monica
6 Nicaise, Serge
6 Of, Günther
6 Welker, Kathrin
6 Wolfmayr, Monika
6 Yousept, Irwin
5 Endtmayer, Bernhard
5 Gangl, Peter
5 Khoromskiĭ, Boris Nikolaevich
5 Kraus, Johannes K.
5 Liang, Zhaozheng
5 Neytcheva, Maya G.
5 Ovall, Jeffrey S.
5 Pinnau, René
5 Schneckenleitner, Rainer
5 Zank, Marco
5 Zou, Jun
4 Acevedo, Ramiro
4 Angelov, Todor Angelov
4 Bause, Markus
4 Blauth, Sebastian
4 Bouchala, Jiří
4 Chen, Falai
4 Claeys, Xavier
4 Dostál, Zdeněk
4 Führer, Thomas
4 Hiptmair, Ralf
4 Hofreither, Clemens
4 Hsiao, George Chia-Chu
4 Hughes, Thomas J. R.
4 Jung, Michael
4 Krause, Rolf H.
4 Leithäuser, Christian
4 Manohar, Ram P.
4 Moore, Stephen Edward
4 Neumüller, Martin
4 Pan, Maodong
4 Pan, Xingbin
4 Reynolds, Samuel E.
4 Sadowská, Marie
4 Schafelner, Andreas
4 Scheichl, Robert
4 Schöps, Sebastian
4 Sturm, Kevin
4 Wieners, Christian
4 Zhang, Guofeng
4 Zheng, Weiying
3 Blaheta, Radim
3 Bukač, Martina
3 Burman, Erik
3 Chouly, Franz
3 Eaton, Matthew D.
3 Elleithy, Wael M.
3 Evans, John A.
3 Geuzaine, Christophe A.
3 Harbrecht, Helmut
3 Heuer, Norbert
3 Jiang, Xue
3 Jonsson, Tobias
3 Kaltenbacher, Manfred
3 Kolmbauer, Michael
3 Kópházi, József
3 Kozubek, Tomas
3 Larson, Mats G.
3 Larsson, Karl
3 Ledger, Paul David
3 Loli, Gabriele
3 Lukáš, Dalibor
3 Mellado, Mario E.
3 Niyonzima, Innocent
3 Noii, Nima
3 Owens, A. R.
3 Perugia, Ilaria
3 Scholz, Felix
3 Schulz, Volker H.
3 Seboldt, Anyastassia
...and 839 more Authors
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Cited in 117 Serials

86 Computer Methods in Applied Mechanics and Engineering
40 Computers & Mathematics with Applications
27 SIAM Journal on Scientific Computing
22 Journal of Computational Physics
21 Journal of Computational and Applied Mathematics
19 Computational Methods in Applied Mathematics
18 International Journal for Numerical Methods in Engineering
18 Numerische Mathematik
15 Computing
14 Computing and Visualization in Science
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Applied Numerical Mathematics
11 SIAM Journal on Numerical Analysis
11 Computational Mechanics
11 Numerical Linear Algebra with Applications
10 Journal of Scientific Computing
9 Mathematics of Computation
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Applied Mathematics and Computation
8 Mathematics and Computers in Simulation
7 Applicable Analysis
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Advances in Computational Mathematics
7 Engineering Analysis with Boundary Elements
6 Mathematical Methods in the Applied Sciences
6 COMPEL
6 Numerical Algorithms
6 ETNA. Electronic Transactions on Numerical Analysis
4 Numerical Methods for Partial Differential Equations
4 SIAM Journal on Optimization
4 Journal of Numerical Mathematics
3 International Journal of Engineering Science
3 Journal of Mathematical Analysis and Applications
3 Applied Mathematics and Optimization
3 BIT
3 Journal of Optimization Theory and Applications
3 Computer Aided Geometric Design
3 Computational Mathematics and Mathematical Physics
3 Applied Mathematical Modelling
3 International Journal of Computer Mathematics
3 Mathematical Problems in Engineering
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Optimization Methods & Software
3 Archives of Computational Methods in Engineering
3 Communications in Mathematics and Statistics
2 Numerical Functional Analysis and Optimization
2 Applied Mathematics Letters
2 Linear Algebra and its Applications
2 SIAM Journal on Mathematical Analysis
2 Computational Optimization and Applications
2 Vietnam Journal of Mathematics
2 Journal of Mathematical Fluid Mechanics
2 European Journal of Mechanics. A. Solids
2 Multiscale Modeling & Simulation
2 Oberwolfach Reports
2 Communications in Computational Physics
2 Discrete and Continuous Dynamical Systems. Series S
2 Mathematical Control and Related Fields
2 Journal of Mathematics in Industry
1 Computers and Fluids
1 Computer Physics Communications
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 Linear and Multilinear Algebra
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 SIAM Journal on Control 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 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 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Computational Geosciences
1 Engineering Computations
1 Optimization and Engineering
1 Lobachevskii Journal of Mathematics
1 Differential Equations
...and 17 more Serials
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Cited in 43 Fields

497 Numerical analysis (65-XX)
232 Partial differential equations (35-XX)
139 Mechanics of deformable solids (74-XX)
98 Calculus of variations and optimal control; optimization (49-XX)
74 Optics, electromagnetic theory (78-XX)
63 Fluid mechanics (76-XX)
12 Computer science (68-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Operations research, mathematical programming (90-XX)
9 Biology and other natural sciences (92-XX)
9 Systems theory; control (93-XX)
7 Approximations and expansions (41-XX)
7 Operator theory (47-XX)
6 General and overarching topics; collections (00-XX)
6 Potential theory (31-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Statistical mechanics, structure of matter (82-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Ordinary differential equations (34-XX)
4 Manifolds and cell complexes (57-XX)
4 Geophysics (86-XX)
3 Integral equations (45-XX)
3 Information and communication theory, circuits (94-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Functional analysis (46-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
2 Quantum theory (81-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Astronomy and astrophysics (85-XX)

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