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Author ID: babuska.ivo-m Recent zbMATH articles by "Babuška, Ivo"
Published as: Babuška, Ivo; Babuška, I.; Babuska, Ivo; Babuška, Ivo M.; Babuska, Ivo M.; Babuska, I.; Babusǩa, I.; Babuška, J.
Further Spellings: Babuška, Ivo Milan
Homepage: https://users.ices.utexas.edu/~babuska/
External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef
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Co-Authors

72 single-authored
41 Strouboulis, Theofanis
23 Osborn, John E.
22 Guo, Benqi
20 Banerjee, Uday
16 Gangaraj, S. K.
16 Tempone, Raúl F.
15 Oden, John Tinsley
14 Rheinboldt, Werner C.
13 Szabó, Barna Aladar
11 Suri, Manil
11 Upadhyay, Chandra Shekhar
10 Vitásek, Emil
9 Copps, K.
8 Ihlenburg, Frank
8 Zhang, Qinghui
7 Nobile, Fabio
7 Práger, Milan
6 Andersson, Börje
6 Pitkäranta, Juhani
6 Sauter, Stefan
6 Zhang, Lin
5 Datta, Dibyendu K.
5 Li, Likang
5 Lipton, Robert P.
5 Oh, Hae-Soo
5 Schwab, Christoph
5 Vogelius, Michael S.
4 Demkowicz, Leszek F.
4 Duarte, Carlos Armando
4 Elman, Howard C.
4 Melenk, Jens Markus
4 Nistor, Victor
4 Rodríguez, Rodolfo
4 Wang, Delin
3 Bieterman, Michael B.
3 Chen, Qi
3 Chleboun, Jan
3 Flaherty, Joseph E.
3 Morgan, Richard C.
3 Rank, Ernst
3 von Petersdorff, Tobias
3 Výborný, Rudolf
3 Zienkiewicz, Olgierd Cecil
2 Adjerid, Slimane
2 Arnold, Douglas Norman
2 Aziz, A. Kadir
2 Baumann, Carlos Erik
2 Bouillard, Philippe
2 Ciarlet, Philippe Gaston
2 Cui, Cu
2 Deraemaeker, Arnaud
2 Dowding, Kevin J.
2 Feng, Yusheng
2 Gago, J.
2 Gatica, Gabriel N.
2 Gupta, Varun
2 Hakula, Harri
2 Hidajat, Realino
2 Hills, Richard G.
2 Hlaváček, Ivan
2 Hughes, Thomas J. R.
2 Janik, Tadeusz J.
2 Kautsky, Jaroslav
2 Kellogg, Bruce
2 Kelly, Donald W.
2 Kergrene, Kenan
2 Kroupa, František
2 Li, Yiwei
2 Makridakis, Charalambos G.
2 Martinsson, Per-Gunnar
2 Motamed, Mohammad
2 Paez, Thomas L.
2 Plank, Lothar
2 Red-Horse, John R.
2 Sawlan, Zaid
2 Scavino, Marco
2 Silva, Renato S.
2 Stephan, Ernst Peter
2 Stuebner, Michael
2 Szymczak, William G.
2 Tarfulea, Nicolae
2 Whiteman, John Robert
2 Zhang, Zhimin
2 Zlámal, Miloš A.
2 Zouraris, Georgios E.
1 Actis, Ricardo L.
1 Ainsworth, Mark
1 Babušková, Renata
1 Bajaj, Chandrajit L.
1 Bass, Jon M.
1 Bazilevs, Yuri
1 Belytschko, Ted Bohdan
1 Biduat, L.
1 Bischoff, Dieter Ernst
1 Brand, G. F.
1 Browne, James C.
1 Caloz, Gabriel
1 Chandra, Jagdish
1 Chatzipantelidis, Panagiotis
1 Chayapathy, Bidar K.
...and 86 more Co-Authors
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Serials

79 Computer Methods in Applied Mechanics and Engineering
36 SIAM Journal on Numerical Analysis
29 International Journal for Numerical Methods in Engineering
26 Numerische Mathematik
17 Aplikace Matematiky
15 Mathematics of Computation
9 Časopis Pro Pěstování Matematiky
9 Numerical Methods for Partial Differential Equations
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 SIAM Journal on Mathematical Analysis
6 Archives of Mechanics
6 Journal of Computational and Applied Mathematics
6 Finite Elements in Analysis and Design
5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
5 Czechoslovak Mathematical Journal
4 Computers & Mathematics with Applications
4 Commentationes Mathematicae Universitatis Carolinae
3 Computers and Structures
3 Journal of Computational Physics
3 Wissenschaftliche Zeitschrift der Hochschule für Architektur und Bauwesen Weimar
3 Communications in Applied Numerical Methods
3 Computational Mechanics
3 SIAM Review
3 SIAM Journal on Scientific Computing
2 Computing
2 Applied Numerical Mathematics
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Advances in Computational Mathematics
2 Computer Assisted Mechanics and Engineering Sciences
2 Czechoslovak Journal of Physics
2 International Journal of Numerical Analysis and Modeling
1 Acta Mechanica
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Mathematical Methods in the Applied Sciences
1 ACM Transactions on Mathematical Software
1 Annales Polonici Mathematici
1 BIT
1 Journal of Approximation Theory
1 Rendiconti del Seminario Matematico
1 Advances in Applied Mathematics
1 SIAM Journal on Scientific and Statistical Computing
1 Journal of Complexity
1 Mathematical and Computer Modelling
1 IMPACT of Computing in Science and Engineering
1 Applications of Mathematics
1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Techniques
1 International Journal of Computer Mathematics
1 Pokroky Matematiky, Fyziky & Astronomie
1 U.S.S.R. Computational Mathematics and Mathematical Physics
1 Wissenschaftliche Zeitschrift der Technischen Universität Dresden
1 Advances in Engineering Software
1 Tatra Mountains Mathematical Publications
1 Communications in Numerical Methods in Engineering
1 Mathematical Modelling and Scientific Computing
1 Computing and Visualization in Science
1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie
1 Multiscale Modeling & Simulation
1 International Journal of Computational Methods
1 Acta Numerica
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica
1 The IMA Volumes in Mathematics and its Applications
1 North-Holland Series in Applied Mathematics and Mechanics
1 Lecture Notes in Computational Science and Engineering
1 Wiley Series in Computational Mechanics

Publications by Year

Citations contained in zbMATH Open

345 Publications have been cited 17,984 times in 9,821 Documents Cited by Year
The partition of unity finite element method: basic theory and applications. Zbl 0881.65099
Melenk, J. M.; Babuška, Ivo
1996
The partition of unity method. Zbl 0949.65117
Babuška, I.; Melenk, J. M.
820
1997
The finite element method with Lagrangian multipliers. Zbl 0258.65108
Babuška, Ivo
657
1973
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
511
1978
Finite element analysis. Zbl 0792.73003
Szabó, Barna; Babuška, Ivo
506
1991
Eigenvalue problems. Zbl 0875.65087
Babuška, Ivo; Osborn, J.
444
1991
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
435
2007
Error-bounds for finite element method. Zbl 0214.42001
Babuška, Ivo
423
1971
A-posteriori error estimates for the finite element method. Zbl 0396.65068
Babuška, Ivo; Rheinboldt, W. C.
415
1978
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
395
2004
The generalized finite element method. Zbl 0997.74069
Strouboulis, T.; Copps, K.; Babuška, I.
374
2001
The design and analysis of the generalized finite element method. Zbl 0983.65127
Strouboulis, T.; Babuška, I.; Copps, K.
319
2000
Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM. Zbl 0838.65108
Ihlenburg, Frank; Babuška, Ivo
270
1995
Survey lectures on the mathematical foundations of the finite element method. With the collaboration of G. Fix and R. B. Kellogg. Zbl 0268.65052
Babuška, Ivo; Aziz, A. K.
251
1972
The finite element method for elliptic equations with discontinuous coefficients. Zbl 0199.50603
Babuška, Ivo
234
1970
Special finite element methods for a class of second order elliptic problems with rough coefficients. Zbl 0807.65114
Babuška, Ivo; Caloz, Gabriel; Osborn, John E.
233
1994
A discontinuous \(hp\) finite element method for diffusion problems. Zbl 0926.65109
Oden, J. Tinsley; Babuška, Ivo; Baumann, Carlos Erik
219
1998
The h-p version of the finite element method with quasiuniform meshes. Zbl 0623.65113
Babuška, I.; Suri, Manil
207
1987
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
198
1976
Finite element solution of the Helmholtz equation with high wave number. II: The \(h-p\) version of the FEM. Zbl 0884.65104
Ihlenburg, Frank; Babuška, Ivo
183
1997
A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Zbl 0863.73055
Babuška, Ivo; Ihlenburg, Frank; Paik, Ellen T.; Sauter, Stefan A.
180
1995
The p-version of the finite element method. Zbl 0487.65059
Babuška, Ivo; Szabo, B. A.; Katz, I. N.
178
1981
Generalized finite element methods: Their performance and their relation to mixed methods. Zbl 0528.65046
Babuška, Ivo; Osborn, J. E.
177
1983
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
175
2003
Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? Zbl 0894.65050
Babuška, Ivo M.; Sauter, Stefan A.
170
1997
The finite element method with penalty. Zbl 0299.65057
Babuška, Ivo
169
1973
Solution of stochastic partial differential equations using Galerkin finite element techniques. Zbl 1075.65006
Deb, Manas K.; Babuška, Ivo M.; Oden, J. Tinsley
168
2001
Stable generalized finite element method (SGFEM). Zbl 1239.74093
Babuška, I.; Banerjee, U.
163
2012
\(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method. Zbl 1227.65093
Evans, John A.; Bazilevs, Yuri; Babuška, Ivo; Hughes, Thomas J. R.
162
2009
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1226.65004
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
155
2010
The \(p\) and \(h-p\) versions of the finite element method, basic principles and properties. Zbl 0813.65118
Babuška, Ivo; Suri, Manil
151
1994
Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057
Babuška, Ivo; Kellogg, R. B.; Pitkäranta, J.
141
1979
The h-p version of the finite element method. I. The basic approximation results. Zbl 0634.73058
Guo, B.; Babuška, I.
140
1986
Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions. Zbl 0957.65098
Deraemaeker, Arnaud; Babuška, Ivo; Bouillard, Philippe
140
1999
The optimal convergence rate of the p-version of the finite element method. Zbl 0637.65103
Babuška, I.; Suri, Manil
133
1987
Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? Zbl 0956.65095
Babuska, Ivo M.; Sauter, Stefan A.
132
2000
Finite element-Galerkin approximation of the eigenvalues and eigenvectors of selfadjoint problems. Zbl 0675.65108
Babuška, I.; Osborn, J. E.
127
1989
Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation. Zbl 1087.65004
Babuška, Ivo; Tempone, Raúl; Zouraris, Georgios E.
123
2005
The generalized finite element method: An example of its implementation and illustration of its performance. Zbl 0955.65080
Strouboulis, T.; Copps, K.; Babuška, I.
120
2000
A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator. Zbl 0593.65064
Babuška, Ivo; Miller, A.
117
1987
The finite element methods and its reliability. Zbl 0995.65501
Babuška, Ivo; Strouboulis, Theofanis
117
2001
Nonconforming elements in the finite element method with penalty. Zbl 0237.65066
Babuška, Ivo; Zlámal, Milos
111
1973
On locking and robustness in the finite element method. Zbl 0763.65085
Babuška, Ivo; Suri, Manil
109
1992
Locking effects in the finite element approximation of elasticity problems. Zbl 0762.65057
Babuška, Ivo; Suri, Manil
109
1992
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
104
2011
Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation. Zbl 0851.73062
Ihlenburg, Frank; Babuška, Ivo
102
1995
Analysis of mixed methods using mesh dependent norms. Zbl 0472.65083
Babuška, Ivo; Osborn, J.; Pitkäranta, J.
101
1980
The p- and h-p versions of the finite element method. An overview. Zbl 0731.73078
Babuška, Ivo; Suri, Manil
97
1990
The post-processing approach in the finite element method. I. Calculation of displacements, stresses and other higher derivatives of the displacements. Zbl 0535.73052
Babuška, Ivo; Miller, A.
93
1984
Validation of a posteriori error estimators by numerical approach. Zbl 0811.65088
Babuška, I.; Strouboulis, T.; Upadhyay, C. S.; Gangaraj, S. K.; Copps, K.
92
1994
Damage analysis of fiber composites. I: Statistical analysis of fiber scale. Zbl 0956.74048
Babuška, Ivo; Andersson, Börje; Smith, Paul J.; Levin, Klas
89
1999
Generalized finite element methods – main ideas, results and perspective. Zbl 1081.65107
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
88
2004
The h-p version of the finite element method for domains with curved boundaries. Zbl 0655.65124
Babuška, I.; Guo, B. Q.
86
1988
On solving elliptic stochastic partial differential equations. Zbl 1019.65010
Babuška, Ivo; Chatzipantelidis, Panagiotis
85
2002
The h-p version of the finite element method. II. General results and applications. Zbl 0634.73059
Guo, B.; Babuška, I.
84
1986
Regularity of the solution of elliptic problems with piecewise analytic data. I: Boundary value problems for linear elliptic equations of second order. Zbl 0647.35021
Babuška, I.; Guo, B. Q.
84
1988
The generalized finite element method for Helmholtz equation: theory, computation, and open problems. Zbl 1120.76044
Strouboulis, Theofanis; Babuška, Ivo; Hidajat, Realino
83
2006
Efficient preconditioning for the \(p\)-version finite element method in two dimensions. Zbl 0754.65083
Babuška, I.; Craig, A.; Mandel, J.; Pitkäranta, J.
81
1991
The h, p and h-p versions of the finite element method in 1 dimension. I. The error analysis of the p-version. Zbl 0614.65088
Gui, W.; Babuška, I.
81
1986
Accuracy estimates and adaptive refinements in finite element computations. Lectures presented at the international conference held in Lisbon, June 1984. Zbl 0663.65001
80
1986
A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics. Zbl 1286.74102
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U.
75
2013
The post-processing approach in the finite element method. II. The calculation of stress intensity factors. Zbl 0535.73053
Babuška, Ivo; Miller, A.
71
1984
The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version. Zbl 0614.65090
Gui, W.; Babuška, I.
71
1986
Feedback and adaptive finite element solution of one-dimensional boundary value problems. Zbl 0574.65098
Babuška, Ivo; Vogelius, M.
70
1984
The h, p and h-p versions of the finite element method in 1 dimension. II. The error analysis of the h- and h-p versions. Zbl 0614.65089
Gui, W.; Babuška, I.
68
1986
Error estimates for the combined h and p versions of the finite element method. Zbl 0487.65058
Babuška, Ivo; Dorr, Milo R.
68
1981
Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle. Zbl 0862.65006
Chen, Qi; Babuška, Ivo
66
1995
Can a finite element method perform arbitrarily badly? Zbl 0940.65086
Babuska, Ivo; Osborn, John E.
63
2000
Numerical processes in differential equations. (In cooperation with R. Radok. Translated from the Czech by Milada Borůvková). Zbl 0156.16003
Babuška, Ivo; Práger, Milan; Vitásek, Emil
63
1966
A residual-based a posteriori error estimator for the Stokes-Darcy coupled problem. Zbl 1410.76148
Babuška, Ivo; Gatica, Gabriel N.
62
2010
Approximation properties of the \(h\)-\(p\) version of the finite element method. Zbl 0882.65096
Babuška, Ivo; Guo, B. Q.
61
1996
Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics. Zbl 1423.74886
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U.
58
2015
Direct and inverse approximation theorems for the \(p\)-version of the finite element method in the framework of weighted Besov spaces. I: Approximability of functions in the weighted Besov spaces. Zbl 1008.65078
Babuška, Ivo; Guo, Benqi
57
2001
Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems. Zbl 0382.65056
Babuška, Ivo; Oden, J. T.; Lee, J. K.
55
1977
The post-processing approach in the finite element method. III. A posteriori error estimates and adaptive mesh selection. Zbl 0571.73074
Babuška, Ivo; Miller, A.
54
1984
Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace’s, Poisson’s, and the elasticity equations. Zbl 0854.65089
Babuška, Ivo; Strouboulis, T.; Upadhyay, C. S.; Gangaraj, S. K.
52
1996
Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids. Zbl 1054.74059
Strouboulis, Theofanis; Zhang, Lin; Babuška, Ivo
52
2003
A discontinuous \(hp\) finite element method for diffusion problems: 1-D analysis. Zbl 0940.65076
Babuška, I.; Baumann, C. E.; Oden, J. T.
50
1999
Finite element method for domains with corners. Zbl 0224.65031
Babuška, Ivo
49
1970
On the rates of convergence of the finite element method. Zbl 0498.65050
Babuška, Ivo; Szabo, Barna
49
1982
Analysis of optimal finite-element meshes in \(R^1\). Zbl 0431.65055
Babuška, Ivo; Rheinboldt, W. C.
49
1979
Reliable and robust a posteriori error estimation for singularly perturbed reaction-diffusion problems. Zbl 0948.65114
Ainsworth, Mark; Babuska, Ivo
48
1998
A posteriori estimation and adaptive control of the pollution error in the \(h\)-version of the finite element method. Zbl 0844.65078
Babuška, Ivo; Strouboulis, T.; Upadhyay, C. S.; Gangaraj, S. K.
48
1995
Continuous dependence of eigenvalues on the domain. Zbl 0137.32302
Babuška, Ivo; Vyborny, Rudolf
47
1965
Introduction to finite element analysis. Formulation, verification and validation. Zbl 1410.65003
Szabó, Barna; Babuška, Ivo
45
2011
A posteriori error analysis of finite element solutions for one- dimensional problems. Zbl 0487.65060
Babuška, Ivo; Rheinboldt, Werner C.
44
1981
Adaptive approaches and reliability estimations in finite element analysis. Zbl 0396.73077
Babuška, Ivo; Rheinboldt, W. C.
43
1979
Benchmark computation and performance evaluation for a rhombic plate bending problem. Zbl 0675.73041
Babuška, Ivo; Scapolla, Terenzio
43
1989
Stable generalized finite element method and associated iterative schemes; application to interface problems. Zbl 1425.74472
Kergrene, Kenan; Babuška, Ivo; Banerjee, Uday
43
2016
The problem of selecting the shape functions for a p-type finite element. Zbl 0705.73246
Babuška, I.; Griebel, M.; Pitkäranta, J.
42
1989
The \(h,p\) and \(h\)-\(p\) version of the finite element method; basis theory and applications. Zbl 0769.65078
Babuška, I.; Guo, B. Q.
40
1992
The h-p version of the finite element method for parabolic equations. I: The p-version in time. Zbl 0693.65078
Babuška, Ivo; Janik, Tadeusz
40
1989
A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems. Zbl 0962.76055
Shirron, Joseph J.; Babuška, Ivo
40
1998
Strongly stable generalized finite element method: application to interface problems. Zbl 1439.74385
Babuška, Ivo; Banerjee, Uday; Kergrene, Kenan
40
2017
Verification and validation in computational engineering and science: basic concepts. Zbl 1198.74126
Babuska, Ivo; Oden, J. Tinsley
38
2004
Effect of numerical integration on meshless methods. Zbl 1229.65204
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Zhang, Qinghui
38
2009
A posteriori error estimation for finite element solutions of Helmholtz’ equation. I: The quality of local indicators and estimators. Zbl 0974.76042
Babuška, I.; Ihlenburg, F.; Strouboulis, T.; Gangaraj, S. K.
38
1997
Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements. Zbl 0759.65069
Babuška, Ivo; Durán, Ricardo; Rodríguez, Rodolfo
37
1992
Homogenization and its application. Mathematical and computational problems. Zbl 0346.65064
Babuška, Ivo
37
1976
Regularity of the solutions for elliptic problems on nonsmooth domains in \(\mathbb{R}^ 3\). I: Countably normed spaces on polyhedral domains. Zbl 0874.35019
Guo, Benqi; Babuška, Ivo
36
1997
An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. Zbl 07644843
Adjerid, Slimane; Babuška, Ivo; Guo, Ruchi; Lin, Tao
6
2023
Stable generalized finite element method (SGFEM) for three-dimensional crack problems. Zbl 1497.65225
Cui, Cu; Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2
2022
A condensed generalized finite element method (CGFEM) for interface problems. Zbl 1507.65256
Zhang, Qinghui; Cui, Cu; Banerjee, Uday; Babuška, Ivo
1
2022
Finite element analysis. Formulation, verification and validation. 2nd updated and revised edition. Zbl 1465.74001
Szabó, Barna; Babuška, Ivo
5
2021
A cut-cell finite element method for Poisson’s equation on arbitrary planar domains. Zbl 1506.65223
Pande, Sushrut; Papadopoulos, Panayiotis; Babuška, Ivo
2
2021
A stable generalized finite element method (SGFEM) of degree two for interface problems. Zbl 1436.65192
Zhang, Qinghui; Babuška, Ivo
19
2020
Multiscale-spectral GFEM and optimal oversampling. Zbl 1442.65402
Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael
15
2020
Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. II: A simplified algorithm. Zbl 1436.74079
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
5
2020
Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. Zbl 1440.74454
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
21
2019
Pointwise error estimate of the Legendre expansion: the known and unknown features. Zbl 1440.65027
Babuška, Ivo; Hakula, Harri
6
2019
Spatial Poisson processes for fatigue crack initiation. Zbl 1440.74353
Babuška, Ivo; Sawlan, Zaid; Scavino, Marco; Szabó, Barna; Tempone, Raúl
2
2019
On roundoff error growth in elliptic problems. Zbl 1484.65102
Babuška, Ivo; Söderlind, Gustaf
4
2018
Strongly stable generalized finite element method: application to interface problems. Zbl 1439.74385
Babuška, Ivo; Banerjee, Uday; Kergrene, Kenan
40
2017
The computational modeling of problems on domains with small holes. Zbl 1439.74163
Babuška, Ivo; Soane, Ana Maria; Suri, Manil
2
2017
Stable generalized finite element method and associated iterative schemes; application to interface problems. Zbl 1425.74472
Kergrene, Kenan; Babuška, Ivo; Banerjee, Uday
43
2016
Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities. Zbl 1439.74479
Zhang, Qinghui; Babuška, Ivo; Banerjee, Uday
31
2016
Bayesian inference and model comparison for metallic fatigue data. Zbl 1426.62295
Babuška, Ivo; Sawlan, Zaid; Scavino, Marco; Szabó, Barna; Tempone, Raúl
7
2016
A fuzzy-stochastic multiscale model for fiber composites, a one-dimensional study. Zbl 1425.74126
Babuška, Ivo; Motamed, Mohammad
5
2016
Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics. Zbl 1423.74886
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U.
58
2015
Higher order stable generalized finite element method. Zbl 1304.65254
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
35
2014
Machine computation using the exponentially convergent multiscale spectral generalized finite element method. Zbl 1320.74097
Babuška, Ivo; Huang, Xu; Lipton, Robert
18
2014
A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites. Zbl 1423.74966
Babuška, Ivo; Motamed, Mohammad; Tempone, Raúl
8
2014
Dealing with uncertainties in engineering problems using only available data. Zbl 1296.76105
Babuška, Ivo; Silva, Renato S.
1
2014
A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics. Zbl 1286.74102
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U.
75
2013
Direct and inverse approximation theorems for the \(p\)-version of the finite element method in the framework of weighted Besov spaces. III: Inverse approximation theorems. Zbl 1382.65399
Guo, Benqi; Babuška, Ivo
4
2013
Stable generalized finite element method (SGFEM). Zbl 1239.74093
Babuška, I.; Banerjee, U.
163
2012
Superconvergence of elliptic reconstructions of finite element solutions of parabolic problems in domains with piecewise smooth boundaries. Zbl 1354.65198
Strouboulis, Theofanis; Wang, Delin; Babuška, Ivo
2
2012
The dome and the ring: verification of an old mathematical model for the design of a stiffened shell roof. Zbl 1252.74043
Pitkäranta, Juhani; Babuška, Ivo; Szabó, Barna
2
2012
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
104
2011
Introduction to finite element analysis. Formulation, verification and validation. Zbl 1410.65003
Szabó, Barna; Babuška, Ivo
45
2011
Finite elements. An introduction to the method and error estimation. Zbl 1206.65246
Babuška, Ivo; Whiteman, John R.; Strouboulis, Theofanis
28
2011
\(L^{2}\)-global to local projection: An approach to multiscale analysis. Zbl 1242.65234
Babuska, Ivo; Lipton, Robert
11
2011
The effect of numerical integration on the finite element approximation of linear functionals. Zbl 1210.65188
Babuška, Ivo; Banerjee, Uday; Li, Hengguang
7
2011
Numerical treatment of engineering problems with uncertainties. The fuzzy set approach and its application to the heat exchanger problem. Zbl 1242.76228
Babuška, Ivo; Silva, Renato S.
3
2011
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1226.65004
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
155
2010
A residual-based a posteriori error estimator for the Stokes-Darcy coupled problem. Zbl 1410.76148
Babuška, Ivo; Gatica, Gabriel N.
62
2010
Local Jacobi operators and applications to the \(p\)-version of finite element method in two dimensions. Zbl 1218.65129
Guo, Benqi; Babuška, Ivo
10
2010
\(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method. Zbl 1227.65093
Evans, John A.; Bazilevs, Yuri; Babuška, Ivo; Hughes, Thomas J. R.
162
2009
Effect of numerical integration on meshless methods. Zbl 1229.65204
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Zhang, Qinghui
38
2009
Robustness of error estimators for finite element solutions of problems with high orthotropy. Zbl 1227.74097
Strouboulis, T.; Wang, D. L.; Babuška, I.
1
2009
The generalized finite element method for Helmholtz equation. II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment. Zbl 1169.76397
Strouboulis, Theofanis; Hidajat, Realino; Babuška, Ivo
32
2008
Quadrature for meshless methods. Zbl 1195.65165
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Li, Qiaoluan
28
2008
A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria. Zbl 1139.74012
Babuška, I.; Nobile, F.; Tempone, R.
24
2008
Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions. Zbl 1153.65106
Babuška, Ivo; Nistor, Victor; Tarfulea, Nicolae
15
2008
Validation challenge workshop. Zbl 1155.74054
Hills, Richard G.; Pilch, Martin; Dowding, Kevin J.; Red-Horse, John; Paez, Thomas L.; Babuška, Ivo; Tempone, Raul
14
2008
Formulation of the static frame problem. Zbl 1388.74115
8
2008
The penetration function and its application to microscale problems. Zbl 1152.65105
Babuška, Ivo; Lipton, Robert; Stuebner, Michael
7
2008
Boundary value problems in spaces of distributions on smooth and polygonal domains. Zbl 1154.65085
Babuška, Ivo; Nistor, Victor
7
2008
Validation challenge workshop summary. Zbl 1388.00029
2
2008
Static frame challenge problem: Summary. Zbl 1140.74008
Babuška, I.; Tempone, R.
1
2008
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
435
2007
Superconvergence in the generalized finite element method. Zbl 1129.65075
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
19
2007
A global-local approach for the construction of enrichment functions for the generalized FEM and its application to three-dimensional cracks. en. Zbl 1323.74081
Duarte, C. Armando; Kim, Dae-Jin; Babuška, Ivo
15
2007
Reliability of computational science. Zbl 1118.65030
Babuška, I.; Nobile, F.; Tempone, R.
12
2007
Homogenization of materials with periodic truss or frame micro-structures. Zbl 1115.74040
Martinsson, P. G.; Babuška, Ivo
9
2007
Assessment of the cost and accuracy of the generalized FEM. Zbl 1194.74474
Strouboulis, Theofanis; Zhang, Lin; Babuška, Ivo
8
2007
Mechanics of materials with periodic truss or frame micro-structures. Zbl 1140.74532
Martinsson, Per-Gunnar; Babuška, Ivo
7
2007
Dynamic data-driven finite element models for laser treatment of cancer. Zbl 1114.92043
Oden, J. T.; Diller, K. R.; Bajaj, C.; Browne, J. C.; Hazle, J.; Babuška, I.; Bass, J.; Biduat, L.; Demkowicz, L.; Elliott, A.; Feng, Y.; Fuentes, D.; Prudhomme, S.; Rylander, M. N.; Stafford, R. J.; Zhang, Y.
4
2007
Approximate and low regularity Dirichlet boundary conditions in the generalized finite element method. Zbl 1145.65093
Babuška, Ivo; Nistor, Victor; Tarfulea, Nicolae
4
2007
Interior maximum norm estimates for finite element discretizations of the Stokes equations. Zbl 1122.65101
Narasimhan, R.; Babuška, I.
3
2007
Mathematical framework for lattice problems. Zbl 1138.82004
Guo, Benqi; Babuška, Ivo
1
2007
The generalized finite element method for Helmholtz equation: theory, computation, and open problems. Zbl 1120.76044
Strouboulis, Theofanis; Babuška, Ivo; Hidajat, Realino
83
2006
A posteriori error estimation for generalized finite element methods. Zbl 1119.65111
Strouboulis, Theofanis; Zhang, Lin; Wang, Delin; Babuška, Ivo
31
2006
Interior numerical approximation of boundary value problems with a distributional data. Zbl 1101.65105
Babuška, Ivo; Nistor, Victor
7
2006
The reliability of computer predictions: can they be trusted? Zbl 1096.65043
Babuška, Ivo; Oden, J. Tinsley
3
2006
On the generalized plane strain problem in thermoelasticity. Zbl 1124.74011
Babuška, Ivo; Szabó, Barna
2
2006
Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation. Zbl 1087.65004
Babuška, Ivo; Tempone, Raúl; Zouraris, Georgios E.
123
2005
Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty. Zbl 1143.74373
Oden, J. Tinsley; Babuška, Ivo; Nobile, Fabio; Feng, Yusheng; Tempone, Raul
20
2005
Worst case scenario analysis for elliptic problems with uncertainty. Zbl 1082.65115
Babuška, I.; Nobile, F.; Tempone, R.
17
2005
The splitting method as a tool for multiple damage analysis. Zbl 1149.65321
Babuska, Ivo; Andersson, Börje
4
2005
New fictitious domain methods: formulation and analysis. Zbl 1107.65102
Babuška, Ivo; Podnos, Eugene G.; Rodin, Gregory J.
2
2005
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
395
2004
Generalized finite element methods – main ideas, results and perspective. Zbl 1081.65107
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
88
2004
Verification and validation in computational engineering and science: basic concepts. Zbl 1198.74126
Babuska, Ivo; Oden, J. Tinsley
38
2004
\(p\)-version of the generalized FEM using mesh-based handbooks with applications to multiscale problems. Zbl 1059.65106
Strouboulis, Theofanis; Zhang, Lin; Babuška, Ivo
28
2004
Uncertain input data problems and the worst scenario method. Zbl 1116.74003
Hlaváček, Ivan; Chleboun, Jan; Babuška, Ivo
19
2004
On the approximability and the selection of particle shape functions. Zbl 1054.65116
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
14
2004
Algebraic algorithms for the analysis of mechanical trusses. Zbl 1079.74045
Babuška, I.; Sauter, S. A.
4
2004
Efficient solution of lattice equations by the recovery method. I: Scalar elliptic problems. Zbl 1076.65097
Babuška, I.; Sauter, S. A.
1
2004
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
175
2003
Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids. Zbl 1054.74059
Strouboulis, Theofanis; Zhang, Lin; Babuška, Ivo
52
2003
\(p\) interpolation error estimates for edge finite elements of variable order in two dimensions. Zbl 1067.78016
Demkowicz, L.; Babuska, I.
31
2003
On the mixed finite element method with Lagrange multipliers. Zbl 1021.65056
Babuška, Ivo; Gatica, Gabriel N.
30
2003
Research directions in computational mechanics. Zbl 1025.74503
Oden, J. Tinsley; Belytschko, Ted; Babuska, Ivo; Hughes, T. J. R.
25
2003
Solving stochastic partial differential equations based on the experimental data. Zbl 1052.60047
Babuška, Ivo; Liu, Kang-Man; Tempone, Raúl
24
2003
Effects of uncertainties in the domain on the solution of Dirichlet boundary value problems. Zbl 1016.65088
Babuška, Ivo; Chleboun, Jan
13
2003
On solving stochastic initial-value differential equations. Zbl 1049.60051
Babuška, Ivo; Liu, Kang-Man
7
2003
Guaranteed a posteriori error estimation for fully discrete solutions of parabolic problems. Zbl 1025.65052
Strouboulis, T.; Babuška, I.; Datta, D. K.
6
2003
On solving elliptic stochastic partial differential equations. Zbl 1019.65010
Babuška, Ivo; Chatzipantelidis, Panagiotis
85
2002
Meshless and generalized finite element methods: A survey of some major results. Zbl 1012.65119
Babuška, I.; Banerjee, U.; Osborn, J. E.
32
2002
On principles for the selection of shape functions for the generalized finite element method. Zbl 1016.65052
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
21
2002
Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions. Zbl 1007.65086
Babuška, Ivo; Chleboun, Jan
18
2002
Direct and inverse approximation theorems for the \(p\)-version of the finite element method in the framework of weighted Besov spaces. II: Optimal rate of convergence of the \(p\)-version finite element solutions. Zbl 1026.65103
Babuška, Ivo; Guo, Benqi
16
2002
Mesh-independent \(p\)-orthotropic enrichment using the generalized finite element method. Zbl 1027.74065
Duarte, C. A.; Babuška, I.
14
2002
Can we trust the computational analysis of engineering problems? Zbl 1004.65059
Babuška, I.; Strouboulis, T.
5
2002
Mathematical modeling and numerical simulation in continuum mechanics. Proceedings of the international symposium, Yamaguchi, Japan, September 29 – October 3, 2000. Zbl 0976.00035
1
2002
The generalized finite element method. Zbl 0997.74069
Strouboulis, T.; Copps, K.; Babuška, I.
374
2001
Solution of stochastic partial differential equations using Galerkin finite element techniques. Zbl 1075.65006
Deb, Manas K.; Babuška, Ivo M.; Oden, J. Tinsley
168
2001
The finite element methods and its reliability. Zbl 0995.65501
Babuška, Ivo; Strouboulis, Theofanis
117
2001
Direct and inverse approximation theorems for the \(p\)-version of the finite element method in the framework of weighted Besov spaces. I: Approximability of functions in the weighted Besov spaces. Zbl 1008.65078
Babuška, Ivo; Guo, Benqi
57
2001
...and 245 more Documents
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Cited by 10,370 Authors

153 Babuška, Ivo
79 Oden, John Tinsley
75 Schwab, Christoph
72 Zhang, Zhimin
62 Yang, Yidu
59 Demkowicz, Leszek F.
57 Hughes, Thomas J. R.
50 Düster, Alexander
47 Bi, Hai
46 Huang, Yunqing
46 Rank, Ernst
44 Bordas, Stéphane Pierre Alain
43 Carstensen, Carsten
42 Chen, Yanping
39 Ladevèze, Pierre
39 Nobile, Fabio
38 Ainsworth, Mark
38 Tempone, Raúl F.
37 Xie, Hehu
35 Belytschko, Ted Bohdan
35 Repin, Sergeĭ Igorevich
33 Gunzburger, Max D.
33 Rabczuk, Timon
32 Gatica, Gabriel N.
32 Karniadakis, George Em
32 Melenk, Jens Markus
32 Zheng, Hong
31 Brenner, Susanne Cecelia
31 Wheeler, Mary Fanett
31 Xu, Fei
30 Evans, John A.
30 Flaherty, Joseph E.
30 Nicaise, Serge
30 Sangalli, Giancarlo
30 Stephan, Ernst Peter
29 Calo, Victor Manuel
29 Duarte, Carlos Armando
29 Lin, Tao
29 Strouboulis, Theofanis
29 Trevelyan, Jon
29 Wriggers, Peter
28 Bazilevs, Yuri
28 Chung, Tsz Shun Eric
28 Díez, Pedro
28 Moës, Nicolas
28 Sauter, Stefan
28 Sukumar, Natarajan
28 Xu, Jinchao
27 Huerta, Antonio
27 Quarteroni, Alfio M.
26 Han, Jiayu
26 He, Xiaoming
26 Perugia, Ilaria
26 Seaïd, Mohammed
26 Sung, Li-Yeng
26 Wang, Junping
25 Buffa, Annalisa
25 Chen, Jiun-Shyan
25 Suri, Manil
25 Wohlmuth, Barbara I.
24 Banerjee, Uday
24 Farhat, Charbel H.
24 Li, Hengguang
24 Oh, Hae-Soo
24 Stenberg, Rolf
24 Szabó, Barna Aladar
24 Wu, Haijun
24 Ye, Xiu
23 Adjerid, Slimane
23 Beirão da Veiga, Lourenço
23 Guo, Benqi
23 Heuer, Norbert
23 Hou, Thomas Yizhao
23 Laghrouche, Omar
23 Li, Zi-Cai
23 Liu, Gui-Rong
23 Rodríguez, Rodolfo
23 Yosibash, Zohar
22 Dehghan Takht Fooladi, Mehdi
22 Lin, Yanping
22 Pardo, David
22 Schillinger, Dominik
21 Chai, Yingbin
21 Harari, Isaac
21 Harbrecht, Helmut
21 Hu, Jun
21 Kollmannsberger, Stefan
21 Loula, Abimael Fernando Dourado
21 Maday, Yvon
21 Natarajan, Sundararajan
21 Prudhomme, Serge
20 Boffi, Daniele
20 Brezzi, Franco
20 Dolejší, Vít
20 Ern, Alexandre
20 Giani, Stefano
20 Lin, Guang
20 Nochetto, Ricardo Horacio
20 Xie, Xiaoping
20 Yang, Yongtao
...and 10,270 more Authors
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Cited in 443 Serials

1,819 Computer Methods in Applied Mechanics and Engineering
644 Journal of Computational Physics
473 International Journal for Numerical Methods in Engineering
436 Journal of Computational and Applied Mathematics
407 Computers & Mathematics with Applications
324 Journal of Scientific Computing
306 Computational Mechanics
305 Numerische Mathematik
283 Mathematics of Computation
265 Applied Numerical Mathematics
215 Engineering Analysis with Boundary Elements
191 Applied Mathematics and Computation
175 SIAM Journal on Scientific Computing
162 SIAM Journal on Numerical Analysis
120 Numerical Methods for Partial Differential Equations
113 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
104 Advances in Computational Mathematics
94 Applied Mathematical Modelling
90 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
77 Computers and Fluids
70 Communications in Numerical Methods in Engineering
69 SIAM/ASA Journal on Uncertainty Quantification
64 International Journal of Computational Methods
61 Multiscale Modeling & Simulation
58 Journal of Mathematical Analysis and Applications
57 Mathematics and Computers in Simulation
52 Computational Methods in Applied Mathematics
50 Numerical Algorithms
49 BIT
49 Applications of Mathematics
46 Calcolo
45 RAIRO. Modélisation Mathématique et Analyse Numérique
44 Aplikace Matematiky
44 Archives of Computational Methods in Engineering
44 Communications in Computational Physics
43 Mathematical Problems in Engineering
40 International Journal for Numerical Methods in Fluids
38 Advances in Applied Mathematics and Mechanics
37 Journal of Differential Equations
37 Engineering Computations
35 Mathematical Methods in the Applied Sciences
35 International Journal of Computer Mathematics
35 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
35 Computational Geosciences
34 Applied Mathematics Letters
33 Computing
32 International Journal of Numerical Analysis and Modeling
30 Acta Mechanica
30 European Journal of Mechanics. A. Solids
30 Foundations of Computational Mathematics
29 Science China. Mathematics
28 Numerical Functional Analysis and Optimization
27 Computational and Applied Mathematics
26 Japan Journal of Industrial and Applied Mathematics
25 Journal of Numerical Mathematics
24 Computing and Visualization in Science
22 Wave Motion
21 Applicable Analysis
21 Archive for Rational Mechanics and Analysis
21 International Journal of Solids and Structures
21 Mathematical and Computer Modelling
21 Journal of Mathematical Sciences (New York)
21 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
21 Journal of Computational Acoustics
20 Computer Physics Communications
20 RAIRO. Analyse Numérique
20 Applied Mathematics and Mechanics. (English Edition)
19 Numerical Linear Algebra with Applications
19 Abstract and Applied Analysis
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
18 Journal of the Mechanics and Physics of Solids
18 SIAM Journal on Mathematical Analysis
17 Archive of Applied Mechanics
17 Discrete and Continuous Dynamical Systems. Series B
16 Journal of Elasticity
16 Mathematics and Mechanics of Solids
15 Journal of Approximation Theory
15 Computer Aided Geometric Design
15 Journal of Complexity
15 International Journal of Fracture
14 Communications in Nonlinear Science and Numerical Simulation
13 International Journal of Engineering Science
13 Journal of Integral Equations and Applications
13 Acta Numerica
12 Journal of Engineering Mathematics
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Linear Algebra and its Applications
12 ETNA. Electronic Transactions on Numerical Analysis
12 International Journal of Computational Fluid Dynamics
12 Inverse Problems in Science and Engineering
12 East Asian Journal on Applied Mathematics
11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 Journal of Applied Mathematics and Computing
11 International Journal for Computational Methods in Engineering Science and Mechanics
10 Meccanica
10 Physica D
10 COMPEL
10 SIAM Review
9 Annali di Matematica Pura ed Applicata. Serie Quarta
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Cited in 55 Fields

7,091 Numerical analysis (65-XX)
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413 Probability theory and stochastic processes (60-XX)
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362 Calculus of variations and optimal control; optimization (49-XX)
258 Approximations and expansions (41-XX)
177 Ordinary differential equations (34-XX)
153 Classical thermodynamics, heat transfer (80-XX)
149 Statistics (62-XX)
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128 Biology and other natural sciences (92-XX)
105 Statistical mechanics, structure of matter (82-XX)
103 Operator theory (47-XX)
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