## Babuška, Ivo

Compute Distance To:
 Author ID: babuska.ivo-m Published as: Babuška, Ivo; Babuška, I.; Babuska, Ivo; Babuška, Ivo M.; Babuska, Ivo M.; Babuska, I.; Babusǩa, I.; Babuška, J.; Babuska more...less Further Spellings: Babuška, Ivo Milan Homepage: https://users.ices.utexas.edu/~babuska/ External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 387 Publications since 1954, including 10 Books 8 Contributions as Editor · 2 Further Contributions Biographic References: 9 Publications Co-Authors: 161 Co-Authors with 295 Joint Publications 3,657 Co-Co-Authors
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### Co-Authors

 72 single-authored 40 Strouboulis, Theofanis 23 Osborn, John E. 22 Guo, Benqi 19 Banerjee, Uday 16 Gangaraj, S. K. 16 Tempone, Raúl F. 15 Oden, John Tinsley 14 Rheinboldt, Werner C. 12 Szabó, Barna Aladar 11 Suri, Manil 11 Upadhyay, Chandra Shekhar 10 Vitásek, Emil 9 Copps, K. 7 Nobile, Fabio 7 Práger, Milan 7 Zhang, Qinghui 6 Pitkäranta, Juhani 6 Sauter, Stefan A. 6 Zhang, Lin 5 Andersson, Börje 5 Datta, Dibyendu K. 5 Ihlenburg, Frank 5 Lipton, Robert P. 5 Schwab, Christoph 5 Vogelius, Michael S. 4 Demkowicz, Leszek F. 4 Elman, Howard C. 4 Melenk, Jens Markus 4 Nistor, Victor 4 Oh, Hae-Soo 4 Rodríguez, Rodolfo 3 Bieterman, Michael B. 3 Chleboun, Jan 3 Flaherty, Joseph E. 3 Morgan, Richard C. 3 von Petersdorff, Tobias 3 Výborný, Rudolf 3 Wang, Delin 2 Arnold, Douglas Norman 2 Aziz, A. Kadir 2 Baumann, Carlos Erik 2 Bouillard, Philippe 2 Ciarlet, Philippe Gaston 2 Deraemaeker, Arnaud 2 Dowding, Kevin J. 2 Feng, Yusheng 2 Gago, J. 2 Gatica, Gabriel N. 2 Gupta, Varun 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 Martinsson, Per-Gunnar 2 Motamed, Mohammad 2 Paez, Thomas L. 2 Plank, Lothar 2 Rank, Ernst 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 Zienkiewicz, Olgierd Cecil 2 Zouraris, Georgios E. 1 Actis, Ricardo L. 1 Adjerid, Slimane 1 Ainsworth, Mark 1 Babušková, Renata 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. 1 Chen, Jiuhua 1 Coffignal, G. 1 Cui, Cu 1 de Arantes Oliveira, E. R. 1 Deb, Manas K. 1 Devloo, Philippe Remy Bernard 1 D’Harcourt, J. M. 1 Diller, Kenneth R. 1 Dorr, Milo R. ...and 72 more Co-Authors
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### Serials

 77 Computer Methods in Applied Mechanics and Engineering 36 SIAM Journal on Numerical Analysis 29 International Journal for Numerical Methods in Engineering 25 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 Lecture Notes in Computational Science and Engineering 1 Wiley Series in Computational Mechanics
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### Fields

 266 Numerical analysis (65-XX) 157 Partial differential equations (35-XX) 141 Mechanics of deformable solids (74-XX) 26 Ordinary differential equations (34-XX) 21 Fluid mechanics (76-XX) 14 General and overarching topics; collections (00-XX) 14 Approximations and expansions (41-XX) 10 Probability theory and stochastic processes (60-XX) 8 Functional analysis (46-XX) 6 History and biography (01-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 4 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

330 Publications have been cited 14,497 times in 8,085 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.
1997
The finite element method with Lagrangian multipliers. Zbl 0258.65108
Babuška, Ivo
1973
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
1978
A-posteriori error estimates for the finite element method. Zbl 0396.65068
Babuška, Ivo; Rheinboldt, W. C.
1978
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2007
Error-bounds for finite element method. Zbl 0214.42001
Babuška, Ivo
1971
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
2004
The generalized finite element method. Zbl 0997.74069
Strouboulis, T.; Copps, K.; Babuška, I.
2001
Eigenvalue problems. Zbl 0875.65087
Babuška, Ivo; Osborn, J.
1991
The design and analysis of the generalized finite element method. Zbl 0983.65127
Strouboulis, T.; Babuška, I.; Copps, K.
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
1995
A discontinuous $$hp$$ finite element method for diffusion problems. Zbl 0926.65109
Oden, J. Tinsley; Babuška, Ivo; Baumann, Carlos Erik
1998
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.
1994
The h-p version of the finite element method with quasiuniform meshes. Zbl 0623.65113
Babuška, I.; Suri, Manil
1987
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
1976
The finite element method for elliptic equations with discontinuous coefficients. Zbl 0199.50603
Babuška, Ivo
1970
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.
1995
Solution of stochastic partial differential equations using Galerkin finite element techniques. Zbl 1075.65006
Deb, Manas K.; Babuška, Ivo M.; Oden, J. Tinsley
2001
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
1997
The p-version of the finite element method. Zbl 0487.65059
Babuška, Ivo; Szabo, B. A.; Katz, I. N.
1981
Generalized finite element methods: Their performance and their relation to mixed methods. Zbl 0528.65046
Babuška, Ivo; Osborn, J. E.
1983
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
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.
1997
$$n$$-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.
2009
The $$p$$ and $$h-p$$ versions of the finite element method, basic principles and properties. Zbl 0813.65118
Babuška, Ivo; Suri, Manil
1994
The finite element method with penalty. Zbl 0299.65057
Babuška, Ivo
1973
The optimal convergence rate of the p-version of the finite element method. Zbl 0637.65103
Babuška, I.; Suri, Manil
1987
Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057
Babuška, Ivo; Kellogg, R. B.; Pitkäranta, J.
1979
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.
1972
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1226.65004
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2010
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
1999
The h-p version of the finite element method. I. The basic approximation results. Zbl 0634.73058
Guo, B.; Babuška, I.
1986
Finite element analysis. Zbl 0792.73003
Szabó, Barna; Babuška, Ivo
1991
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.
2005
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.
1987
The generalized finite element method: An example of its implementation and illustration of its performance. Zbl 0955.65080
Strouboulis, T.; Copps, K.; Babuška, I.
2000
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.
2000
Stable generalized finite element method (SGFEM). Zbl 1239.74093
Babuška, I.; Banerjee, U.
2012
Finite element-Galerkin approximation of the eigenvalues and eigenvectors of selfadjoint problems. Zbl 0675.65108
Babuška, I.; Osborn, J. E.
1989
Nonconforming elements in the finite element method with penalty. Zbl 0237.65066
Babuška, Ivo; Zlámal, Milos
1973
On locking and robustness in the finite element method. Zbl 0763.65085
Babuška, Ivo; Suri, Manil
1992
Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation. Zbl 0851.73062
Ihlenburg, Frank; Babuška, Ivo
1995
The p- and h-p versions of the finite element method. An overview. Zbl 0731.73078
Babuška, Ivo; Suri, Manil
1990
Validation of a posteriori error estimators by numerical approach. Zbl 0811.65088
Babuška, I.; Strouboulis, T.; Upadhyay, C. S.; Gangaraj, S. K.; Copps, K.
1994
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.
1984
Analysis of mixed methods using mesh dependent norms. Zbl 0472.65083
Babuška, Ivo; Osborn, J.; Pitkäranta, J.
1980
Locking effects in the finite element approximation of elasticity problems. Zbl 0762.65057
Babuška, Ivo; Suri, Manil
1992
The h-p version of the finite element method for domains with curved boundaries. Zbl 0655.65124
Babuška, I.; Guo, B. Q.
1988
The finite element methods and its reliability. Zbl 0995.65501
Babuška, Ivo; Strouboulis, Theofanis
2001
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.
1986
On solving elliptic stochastic partial differential equations. Zbl 1019.65010
Babuška, Ivo; Chatzipantelidis, Panagiotis
2002
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.
1988
Damage analysis of fiber composites. I: Statistical analysis of fiber scale. Zbl 0956.74048
Babuška, Ivo; Andersson, Börje; Smith, Paul J.; Levin, Klas
1999
The h-p version of the finite element method. II. General results and applications. Zbl 0634.73059
Guo, B.; Babuška, I.
1986
Efficient preconditioning for the $$p$$-version finite element method in two dimensions. Zbl 0754.65083
Babuška, I.; Craig, A.; Mandel, J.; Pitkäranta, J.
1991
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
2011
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.
1986
Generalized finite element methods – main ideas, results and perspective. Zbl 1081.65107
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
The generalized finite element method for Helmholtz equation: theory, computation, and open problems. Zbl 1120.76044
Strouboulis, Theofanis; Babuška, Ivo; Hidajat, Realino
2006
The post-processing approach in the finite element method. II. The calculation of stress intensity factors. Zbl 0535.73053
Babuška, Ivo; Miller, A.
1984
Error estimates for the combined h and p versions of the finite element method. Zbl 0487.65058
Babuška, Ivo; Dorr, Milo R.
1981
Feedback and adaptive finite element solution of one-dimensional boundary value problems. Zbl 0574.65098
Babuška, Ivo; Vogelius, M.
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.
1986
Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle. Zbl 0862.65006
Chen, Qi; Babuška, Ivo
1995
Approximation properties of the $$h$$-$$p$$ version of the finite element method. Zbl 0882.65096
Babuška, Ivo; Guo, B. Q.
1996
A residual-based a posteriori error estimator for the Stokes-Darcy coupled problem. Zbl 1410.76148
Babuška, Ivo; Gatica, Gabriel N.
2010
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.
1984
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
1966
Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems. Zbl 0382.65056
Babuška, Ivo; Oden, J. T.; Lee, J. K.
1977
Can a finite element method perform arbitrarily badly? Zbl 0940.65086
Babuska, Ivo; Osborn, John E.
2000
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
2003
A discontinuous $$hp$$ finite element method for diffusion problems: 1-D analysis. Zbl 0940.65076
Babuška, I.; Baumann, C. E.; Oden, J. T.
1999
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.
2013
On the rates of convergence of the finite element method. Zbl 0498.65050
Babuška, Ivo; Szabo, Barna
1982
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
2001
Reliable and robust a posteriori error estimation for singularly perturbed reaction-diffusion problems. Zbl 0948.65114
Ainsworth, Mark; Babuska, Ivo
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.
1995
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.
1996
Analysis of optimal finite-element meshes in $$R^1$$. Zbl 0431.65055
Babuška, Ivo; Rheinboldt, W. C.
1979
A posteriori error analysis of finite element solutions for one- dimensional problems. Zbl 0487.65060
Babuška, Ivo; Rheinboldt, Werner C.
1981
Finite element method for domains with corners. Zbl 0224.65031
Babuška, Ivo
1970
Benchmark computation and performance evaluation for a rhombic plate bending problem. Zbl 0675.73041
Babuška, Ivo; Scapolla, Terenzio
1989
Continuous dependence of eigenvalues on the domain. Zbl 0137.32302
Babuška, Ivo; Vyborny, Rudolf
1965
A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems. Zbl 0962.76055
Shirron, Joseph J.; Babuška, Ivo
1998
The problem of selecting the shape functions for a p-type finite element. Zbl 0705.73246
Babuška, I.; Griebel, M.; Pitkäranta, J.
1989
Adaptive approaches and reliability estimations in finite element analysis. Zbl 0396.73077
Babuška, Ivo; Rheinboldt, W. C.
1979
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.
1997
Accuracy estimates and adaptive refinements in finite element computations. Lectures presented at the international conference held in Lisbon, June 1984. Zbl 0663.65001
1986
The h-p version of the finite element method for parabolic equations. I: The p-version in time. Zbl 0693.65078
1989
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.
2015
The p-version of the finite element method for domains with corners and for infinite domains. Zbl 0717.65084
Babuška, Ivo; Oh, Hae-Soo
1990
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
1997
Introduction to finite element analysis. Formulation, verification and validation. Zbl 1410.65003
Szabó, Barna; Babuška, Ivo
2011
A finite element scheme for domains with corners. Zbl 0252.65084
Babuška, Ivo; Rosenzweig, Michael B.
1972
The problem of plate modeling: Theoretical and computational results. Zbl 0764.73040
Babuška, I.; Li, Likang
1992
Verification and validation in computational engineering and science: basic concepts. Zbl 1198.74126
Babuska, Ivo; Oden, J. Tinsley
2004
Locking effects in the finite element approximation of plate models. Zbl 0827.73063
Suri, Manil; Babuška, Ivo; Schwab, Christoph
1995
Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements. Zbl 0759.65069
Babuška, Ivo; Durán, Ricardo; Rodríguez, Rodolfo
1992
Effect of numerical integration on meshless methods. Zbl 1229.65204
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Zhang, Qinghui
2009
A stable generalized finite element method (SGFEM) of degree two for interface problems. Zbl 1436.65192
Zhang, Qinghui; Babuška, Ivo
2020
Multiscale-spectral GFEM and optimal oversampling. Zbl 1442.65402
Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael
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
2020
Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. Zbl 1440.74454
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2019
Spatial Poisson processes for fatigue crack initiation. Zbl 1440.74353
Babuška, Ivo; Sawlan, Zaid; Scavino, Marco; Szabó, Barna; Tempone, Raúl
2019
Pointwise error estimate of the Legendre expansion: the known and unknown features. Zbl 1440.65027
Babuška, Ivo; Hakula, Harri
2019
On roundoff error growth in elliptic problems. Zbl 1484.65102
Babuška, Ivo; Söderlind, Gustaf
2018
Strongly stable generalized finite element method: application to interface problems. Zbl 1439.74385
Babuška, Ivo; Banerjee, Uday; Kergrene, Kenan
2017
The computational modeling of problems on domains with small holes. Zbl 1439.74163
Babuška, Ivo; Soane, Ana Maria; Suri, Manil
2017
Stable generalized finite element method and associated iterative schemes; application to interface problems. Zbl 1425.74472
Kergrene, Kenan; Babuška, Ivo; Banerjee, Uday
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
2016
A fuzzy-stochastic multiscale model for fiber composites, a one-dimensional study. Zbl 1425.74126
2016
Bayesian inference and model comparison for metallic fatigue data. Zbl 1426.62295
Babuška, Ivo; Sawlan, Zaid; Scavino, Marco; Szabó, Barna; Tempone, Raúl
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.
2015
Higher order stable generalized finite element method. Zbl 1304.65254
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2014
Machine computation using the exponentially convergent multiscale spectral generalized finite element method. Zbl 1320.74097
Babuška, Ivo; Huang, Xu; Lipton, Robert
2014
A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites. Zbl 1423.74966
Babuška, Ivo; Motamed, Mohammad; Tempone, Raúl
2014
Dealing with uncertainties in engineering problems using only available data. Zbl 1296.76105
Babuška, Ivo; Silva, Renato S.
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.
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
2013
Stable generalized finite element method (SGFEM). Zbl 1239.74093
Babuška, I.; Banerjee, U.
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
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
2012
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
2011
Introduction to finite element analysis. Formulation, verification and validation. Zbl 1410.65003
Szabó, Barna; Babuška, Ivo
2011
Finite elements. An introduction to the method and error estimation. Zbl 1206.65246
Babuška, Ivo; Whiteman, John R.; Strouboulis, Theofanis
2011
$$L^{2}$$-global to local projection: An approach to multiscale analysis. Zbl 1242.65234
Babuska, Ivo; Lipton, Robert
2011
The effect of numerical integration on the finite element approximation of linear functionals. Zbl 1210.65188
Babuška, Ivo; Banerjee, Uday; Li, Hengguang
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.
2011
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1226.65004
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2010
A residual-based a posteriori error estimator for the Stokes-Darcy coupled problem. Zbl 1410.76148
Babuška, Ivo; Gatica, Gabriel N.
2010
Local Jacobi operators and applications to the $$p$$-version of finite element method in two dimensions. Zbl 1218.65129
Guo, Benqi; Babuška, Ivo
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.
2009
Effect of numerical integration on meshless methods. Zbl 1229.65204
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Zhang, Qinghui
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
2008
Quadrature for meshless methods. Zbl 1195.65165
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Li, Qiaoluan
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.
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
2008
Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions. Zbl 1153.65106
Babuška, Ivo; Nistor, Victor; Tarfulea, Nicolae
2008
Formulation of the static frame problem. Zbl 1388.74115
2008
The penetration function and its application to microscale problems. Zbl 1152.65105
Babuška, Ivo; Lipton, Robert; Stuebner, Michael
2008
Boundary value problems in spaces of distributions on smooth and polygonal domains. Zbl 1154.65085
Babuška, Ivo; Nistor, Victor
2008
Validation challenge workshop summary. Zbl 1388.00029
2008
Static frame challenge problem: Summary. Zbl 1140.74008
Babuška, I.; Tempone, R.
2008
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2007
Superconvergence in the generalized finite element method. Zbl 1129.65075
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2007
Reliability of computational science. Zbl 1118.65030
Babuška, I.; Nobile, F.; Tempone, R.
2007
Homogenization of materials with periodic truss or frame micro-structures. Zbl 1115.74040
Martinsson, P. G.; Babuška, Ivo
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
2007
Assessment of the cost and accuracy of the generalized FEM. Zbl 1194.74474
Strouboulis, Theofanis; Zhang, Lin; Babuška, Ivo
2007
Mechanics of materials with periodic truss or frame micro-structures. Zbl 1140.74532
Martinsson, Per-Gunnar; Babuška, Ivo
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.
2007
Approximate and low regularity Dirichlet boundary conditions in the generalized finite element method. Zbl 1145.65093
Babuška, Ivo; Nistor, Victor; Tarfulea, Nicolae
2007
Interior maximum norm estimates for finite element discretizations of the Stokes equations. Zbl 1122.65101
Narasimhan, R.; Babuška, I.
2007
The generalized finite element method for Helmholtz equation: theory, computation, and open problems. Zbl 1120.76044
Strouboulis, Theofanis; Babuška, Ivo; Hidajat, Realino
2006
A posteriori error estimation for generalized finite element methods. Zbl 1119.65111
Strouboulis, Theofanis; Zhang, Lin; Wang, Delin; Babuška, Ivo
2006
Interior numerical approximation of boundary value problems with a distributional data. Zbl 1101.65105
Babuška, Ivo; Nistor, Victor
2006
On the generalized plane strain problem in thermoelasticity. Zbl 1124.74011
Babuška, Ivo; Szabó, Barna
2006
The reliability of computer predictions: can they be trusted? Zbl 1096.65043
Babuška, Ivo; Oden, J. Tinsley
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.
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
2005
Worst case scenario analysis for elliptic problems with uncertainty. Zbl 1082.65115
Babuška, I.; Nobile, F.; Tempone, R.
2005
The splitting method as a tool for multiple damage analysis. Zbl 1149.65321
2005
New fictitious domain methods: formulation and analysis. Zbl 1107.65102
Babuška, Ivo; Podnos, Eugene G.; Rodin, Gregory J.
2005
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
2004
Generalized finite element methods – main ideas, results and perspective. Zbl 1081.65107
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
Verification and validation in computational engineering and science: basic concepts. Zbl 1198.74126
Babuska, Ivo; Oden, J. Tinsley
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
2004
Uncertain input data problems and the worst scenario method. Zbl 1116.74003
Hlaváček, Ivan; Chleboun, Jan; Babuška, Ivo
2004
On the approximability and the selection of particle shape functions. Zbl 1054.65116
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
Algebraic algorithms for the analysis of mechanical trusses. Zbl 1079.74045
Babuška, I.; Sauter, S. A.
2004
Efficient solution of lattice equations by the recovery method. I: Scalar elliptic problems. Zbl 1076.65097
Babuška, I.; Sauter, S. A.
2004
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
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
2003
$$p$$ interpolation error estimates for edge finite elements of variable order in two dimensions. Zbl 1067.78016
Demkowicz, L.; Babuska, I.
2003
On the mixed finite element method with Lagrange multipliers. Zbl 1021.65056
Babuška, Ivo; Gatica, Gabriel N.
2003
Research directions in computational mechanics. Zbl 1025.74503
Oden, J. Tinsley; Belytschko, Ted; Babuska, Ivo; Hughes, T. J. R.
2003
Solving stochastic partial differential equations based on the experimental data. Zbl 1052.60047
Babuška, Ivo; Liu, Kang-Man; Tempone, Raúl
2003
Effects of uncertainties in the domain on the solution of Dirichlet boundary value problems. Zbl 1016.65088
Babuška, Ivo; Chleboun, Jan
2003
On solving stochastic initial-value differential equations. Zbl 1049.60051
Babuška, Ivo; Liu, Kang-Man
2003
Guaranteed a posteriori error estimation for fully discrete solutions of parabolic problems. Zbl 1025.65052
Strouboulis, T.; Babuška, I.; Datta, D. K.
2003
On solving elliptic stochastic partial differential equations. Zbl 1019.65010
Babuška, Ivo; Chatzipantelidis, Panagiotis
2002
Meshless and generalized finite element methods: A survey of some major results. Zbl 1012.65119
Babuška, I.; Banerjee, U.; Osborn, J. E.
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.
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
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
2002
Mesh-independent $$p$$-orthotropic enrichment using the generalized finite element method. Zbl 1027.74065
Duarte, C. A.; Babuška, I.
2002
Can we trust the computational analysis of engineering problems? Zbl 1004.65059
Babuška, I.; Strouboulis, T.
2002
Mathematical modeling and numerical simulation in continuum mechanics. Proceedings of the international symposium, Yamaguchi, Japan, September 29 – October 3, 2000. Zbl 0976.00035
2002
The generalized finite element method. Zbl 0997.74069
Strouboulis, T.; Copps, K.; Babuška, I.
2001
Solution of stochastic partial differential equations using Galerkin finite element techniques. Zbl 1075.65006
Deb, Manas K.; Babuška, Ivo M.; Oden, J. Tinsley
2001
The finite element methods and its reliability. Zbl 0995.65501
Babuška, Ivo; Strouboulis, Theofanis
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
2001
A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations. Zbl 1013.65099
Babuška, I.; Ohnimus, S.
2001
On one approach to a posteriori error estimates for evolution problems solved by the method of lines. Zbl 0993.65103
Babuška, Ivo; Feistauer, Miloslav; Šolín, Pavel
2001
A posteriori estimators for the FEM: Analysis of the robustness of the estimators for the Poisson equation. Zbl 0991.65110
Zhang, L.; Strouboulis, T.; Babuška, I.
2001
$$\eta$$%-superconvergence of finite element solutions and error estimators. Zbl 0991.65109
Zhang, L.; Strouboulis, T.; Babuška, I.
2001
The design and analysis of the generalized finite element method. Zbl 0983.65127
Strouboulis, T.; Babuška, I.; Copps, K.
2000
The generalized finite element method: An example of its implementation and illustration of its performance. Zbl 0955.65080
Strouboulis, T.; Copps, K.; Babuška, I.
2000
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.
2000
...and 230 more Documents
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### Cited by 8,508 Authors

 142 Babuška, Ivo 65 Oden, John Tinsley 63 Schwab, Christoph 55 Zhang, Zhimin 54 Hughes, Thomas J. R. 51 Demkowicz, Leszek F. 42 Yang, Yidu 39 Carstensen, Carsten 38 Ladevèze, Pierre 37 Bordas, Stéphane Pierre Alain 35 Belytschko, Ted Bohdan 35 Huang, Yunqing 34 Chen, Yanping 34 Düster, Alexander 34 Nobile, Fabio 34 Tempone, Raúl F. 33 Ainsworth, Mark 33 Rank, Ernst 33 Xie, Hehu 31 Repin, Sergeĭ Igorevich 31 Zheng, Hong 30 Gatica, Gabriel N. 28 Bi, Hai 28 Stephan, Ernst Peter 28 Strouboulis, Theofanis 28 Wheeler, Mary Fanett 27 Brenner, Susanne Cecelia 27 Díez, Pedro 27 Karniadakis, George Em 27 Rabczuk, Timon 26 Bazilevs, Yuri 26 Huerta, Antonio 26 Lin, Tao 26 Nicaise, Serge 26 Sangalli, Giancarlo 26 Xu, Jinchao 25 Sukumar, Natarajan 24 Calo, Victor Manuel 24 Gunzburger, Max D. 24 Quarteroni, Alfio M. 24 Sauter, Stefan A. 24 Suri, Manil 24 Wohlmuth, Barbara I. 23 Evans, John A. 23 Farhat, Charbel H. 23 Flaherty, Joseph E. 23 Guo, Benqi 23 Li, Hengguang 23 Perugia, Ilaria 22 Buffa, Annalisa 22 Heuer, Norbert 22 Hou, Thomas Yizhao 22 Liu, Gui-Rong 22 Wang, Junping 22 Wriggers, Peter 21 Banerjee, Uday 21 Beirão da Veiga, Lourenço 21 Dehghan Takht Fooladi, Mehdi 21 Harari, Isaac 21 He, Xiaoming 21 Loula, Abimael Fernando Dourado 21 Oh, Hae-Soo 21 Rodríguez, Rodolfo 20 Chen, Jiun-Shyan 20 Laghrouche, Omar 20 Lin, Yanping 20 Maday, Yvon 19 Brezzi, Franco 19 Lin, Guang 19 Schillinger, Dominik 19 Stenberg, Rolf 19 Sun, Shuyu 19 Yang, Yongtao 19 Ye, Xiu 18 Bernardi, Christine 18 Dolejší, Vít 18 Ghanem, Roger G. 18 Harbrecht, Helmut 18 Li, Jichun 18 Moës, Nicolas 18 Park, Eun-Jae 18 Seaïd, Mohammed 18 Szabó, Barna Aladar 17 Adjerid, Slimane 17 Bramble, James H. 17 Chung, Tsz Shun Eric 17 Franca, Leopoldo Luis Cabo Penna 17 Giani, Stefano 17 Guo, Ben-Yu 17 Han, Weimin 17 Liu, Wing Kam 17 Natarajan, Sundararajan 17 Pardo, David 17 Wihler, Thomas Pascal 17 Wu, Haijun 17 Xie, Xiaoping 16 Chamoin, Ludovic 16 Desmet, Wim 16 Dolbow, John E. 16 Girault, Vivette ...and 8,408 more Authors
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### Cited in 397 Serials

 1,516 Computer Methods in Applied Mechanics and Engineering 499 Journal of Computational Physics 406 International Journal for Numerical Methods in Engineering 368 Journal of Computational and Applied Mathematics 306 Computers & Mathematics with Applications 290 Numerische Mathematik 277 Computational Mechanics 265 Mathematics of Computation 252 Journal of Scientific Computing 235 Applied Numerical Mathematics 188 Engineering Analysis with Boundary Elements 169 Applied Mathematics and Computation 124 SIAM Journal on Scientific Computing 101 SIAM Journal on Numerical Analysis 88 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 85 Numerical Methods for Partial Differential Equations 84 Advances in Computational Mathematics 83 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 78 Applied Mathematical Modelling 70 Communications in Numerical Methods in Engineering 64 Computers and Fluids 61 SIAM/ASA Journal on Uncertainty Quantification 57 International Journal of Computational Methods 48 Multiscale Modeling & Simulation 45 Journal of Mathematical Analysis and Applications 45 Mathematics and Computers in Simulation 45 RAIRO. Modélisation Mathématique et Analyse Numérique 44 Aplikace Matematiky 43 Applications of Mathematics 42 Numerical Algorithms 42 Archives of Computational Methods in Engineering 39 BIT 39 Mathematical Problems in Engineering 38 International Journal for Numerical Methods in Fluids 37 Engineering Computations 36 Calcolo 35 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 35 Computational Methods in Applied Mathematics 33 Computing 32 Computational Geosciences 32 Communications in Computational Physics 31 Journal of Differential Equations 31 International Journal of Computer Mathematics 30 Advances in Applied Mathematics and Mechanics 29 Applied Mathematics Letters 28 Acta Mechanica 28 Mathematical Methods in the Applied Sciences 28 Numerical Functional Analysis and Optimization 28 European Journal of Mechanics. A. Solids 26 Science China. Mathematics 25 Japan Journal of Industrial and Applied Mathematics 23 Foundations of Computational Mathematics 22 Journal of Numerical Mathematics 21 International Journal of Solids and Structures 21 Journal of Computational Acoustics 20 Wave Motion 20 RAIRO. Analyse Numérique 20 Applied Mathematics and Mechanics. (English Edition) 19 Numerical Linear Algebra with Applications 19 Abstract and Applied Analysis 18 Applicable Analysis 18 Archive for Rational Mechanics and Analysis 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Journal of Mathematical Sciences (New York) 17 International Journal of Numerical Analysis and Modeling 16 Journal of the Mechanics and Physics of Solids 16 Archive of Applied Mechanics 15 Mathematical and Computer Modelling 15 Computational and Applied Mathematics 15 Computing and Visualization in Science 15 International Journal of Fracture 14 Journal of Elasticity 13 Journal of Integral Equations and Applications 12 Journal of Engineering Mathematics 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Journal of Approximation Theory 12 International Journal of Computational Fluid Dynamics 12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 11 Computer Aided Geometric Design 11 Linear Algebra and its Applications 11 SIAM Journal on Mathematical Analysis 11 Mathematics and Mechanics of Solids 11 International Journal for Computational Methods in Engineering Science and Mechanics 10 Journal of Complexity 10 COMPEL 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Inverse Problems in Science and Engineering 9 Meccanica 9 International Journal of Numerical Methods for Heat & Fluid Flow 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Discrete and Continuous Dynamical Systems. Series B 9 Journal of Applied Mathematics and Computing 9 Acta Numerica 9 Acta Mechanica Sinica 9 East Asian Journal on Applied Mathematics 8 Physica D 8 Computational Optimization and Applications 8 Journal of Inequalities and Applications 8 International Journal for Numerical Methods in Biomedical Engineering 8 Stochastic and Partial Differential Equations. Analysis and Computations ...and 297 more Serials
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### Cited in 54 Fields

 5,747 Numerical analysis (65-XX) 2,814 Partial differential equations (35-XX) 2,491 Mechanics of deformable solids (74-XX) 1,552 Fluid mechanics (76-XX) 347 Optics, electromagnetic theory (78-XX) 334 Probability theory and stochastic processes (60-XX) 274 Calculus of variations and optimal control; optimization (49-XX) 202 Approximations and expansions (41-XX) 155 Ordinary differential equations (34-XX) 125 Classical thermodynamics, heat transfer (80-XX) 111 Statistics (62-XX) 101 Biology and other natural sciences (92-XX) 86 Computer science (68-XX) 86 Statistical mechanics, structure of matter (82-XX) 83 Operator theory (47-XX) 71 Geophysics (86-XX) 63 Functional analysis (46-XX) 60 Integral equations (45-XX) 60 Operations research, mathematical programming (90-XX) 57 Systems theory; control (93-XX) 43 Potential theory (31-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 35 Quantum theory (81-XX) 32 Global analysis, analysis on manifolds (58-XX) 28 Dynamical systems and ergodic theory (37-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 22 General and overarching topics; collections (00-XX) 20 Mechanics of particles and systems (70-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Real functions (26-XX) 16 Special functions (33-XX) 16 Information and communication theory, circuits (94-XX) 13 Functions of a complex variable (30-XX) 11 Differential geometry (53-XX) 9 Combinatorics (05-XX) 9 Convex and discrete geometry (52-XX) 6 History and biography (01-XX) 5 Geometry (51-XX) 4 Mathematical logic and foundations (03-XX) 4 Difference and functional equations (39-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Relativity and gravitational theory (83-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX)

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