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Author ID: ortiz.michael Recent zbMATH articles by "Ortiz, Michael"
Published as: Ortiz, M.; Ortiz, Michael
Homepage: https://www.ortiz.caltech.edu/
External Links: MGP · dblp
Documents Indexed: 204 Publications since 1982
4 Contributions as Editor
Biographic References: 2 Publications
Co-Authors: 160 Co-Authors with 197 Joint Publications
2,962 Co-Co-Authors
all top 5

Co-Authors

4 single-authored
17 Conti, Sergio
14 Marsden, Jerrold Eldon
14 Pandolfi, Anna
12 Stainier, Laurent
11 Bhattacharya, Kaushik
9 Repetto, Eduardo A.
7 Knap, Jaroslaw
7 Leyendecker, Sigrid
6 Ariza, Maria P.
6 Lew, Adrian J.
6 Mota, Alejandro
6 Radovitzky, Raúl A.
6 Schmidt, Bernd
6 Weinberg, Kerstin
5 Bower, Allan F.
5 Needleman, Alan
5 West, Matthew
4 Bompadre, Agustín
4 Carter, Emily A.
4 Cirak, Fehmi
4 Gioia, Gustavo
4 Müller, Stefan
4 Nour-Omid, Bahram
4 Sullivan, Tim
3 Arroyo, Marino
3 Aubry, Sylvie
3 Cuitiño, Alberto M.
3 Cyron, Christian J.
3 Eggersmann, Robert
3 Fago, Matt
3 Fraternali, Fernando
3 Garroni, Adriana
3 Hauret, Patrice
3 Heyden, S.
3 Kirchdoerfer, T.
3 Klug, William Scott
3 Mosler, Jörn
3 Owhadi, Houman
3 Perotti, Luigi E.
3 Phillips, Rob
3 Ravichandran, Guruswami
3 Reese, Stefanie
3 Rosakis, Ares J.
3 Simo, Juan Carlos
3 Suryanarayana, Phanish
3 Theil, Florian
2 Blesgen, Thomas
2 Camacho, G. T.
2 Fokoua, Landry
2 Gavini, Vikram
2 Gavinia, Vikram
2 Hackl, Klaus
2 Hayes, Robin L.
2 Hurtado, Daniel E.
2 Johnson, Gwen
2 Krysl, Petr
2 Kulkarni, Yashashree
2 Leroy, Yves M.
2 Leygue, Adrien
2 Marusich, T. D.
2 McKerns, M.
2 Mielke, Alexander
2 Molinari, Jean-Francois
2 Ponga, Mauricio
2 Popov, E. P.
2 Ramasubramaniam, A.
2 Reina, Celia
2 Sotelino, Elisa D.
2 Tadmor, Ellad B.
2 Thoutireddy, P.
2 Yavari, Arash
1 Andrade, José E.
1 Arca, F.
1 Arias, Irene
1 Ariza, Pilar
1 Balzani, Daniel
1 Beltz, Glen
1 Belytschko, Ted Bohdan
1 Beyerlein, Irene J.
1 Bigoni, Davide
1 Bjerkén, Christina
1 Bloch, Anthony Michael
1 Borcea, Liliana
1 Braides, Andrea
1 Carrara, Paola
1 Caspersen, K.
1 Cendra, Hernán
1 Chalivendra, Vijaya Bhaskar
1 Chorin, Alexandre Joel
1 Colonius, Tim
1 Courte, Luca
1 Dahlberg, Carl F. O.
1 de-Andrés, A.
1 de Lorenzis, Laura
1 Dellnitz, Michael
1 Desbrun, Mathieu
1 DeSimone, Antonio
1 Djodom, Landry Fokoua
1 Dolzmann, Georg
1 Dondl, Patrick Werner
...and 62 more Co-Authors
all top 5

Serials

47 International Journal for Numerical Methods in Engineering
39 Journal of the Mechanics and Physics of Solids
31 Computer Methods in Applied Mechanics and Engineering
13 Archive for Rational Mechanics and Analysis
9 International Journal of Solids and Structures
7 Computational Mechanics
5 Multiscale Modeling & Simulation
3 Journal of Applied Mechanics
3 Journal of Computational Physics
3 Oberwolfach Reports
2 International Journal of Engineering Science
2 Journal of Mathematical Physics
2 Journal of Nonlinear Science
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 European Journal of Mechanics. A. Solids
2 International Journal of Fracture
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 Inverse Problems
1 Nonlinearity
1 SIAM Journal on Numerical Analysis
1 Optimal Control Applications & Methods
1 Engineering with Computers
1 Journal of Elasticity
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Review
1 Notices of the American Mathematical Society
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Engineering Computations
1 AMRX. Applied Mathematics Research eXpress
1 SIAM Journal on Applied Dynamical Systems
1 Mathematical Medicine and Biology
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Discrete and Continuous Dynamical Systems. Series S

Publications by Year

Citations contained in zbMATH Open

186 Publications have been cited 4,605 times in 2,842 Documents Cited by Year
Computational modelling of impact damage in brittle materials. Zbl 0929.74101
Camacho, G. T.; Ortiz, M.
256
1996
Finite-deformation irreversible cohesive elements for three-dimensional crack propagation analysis. Zbl 0932.74067
Ortiz, M.; Pandolfi, A.
214
1999
Subdivision surfaces: A new paradigm for thin-shell finite element analysis. Zbl 0983.74063
Cirak, Fehmi; Ortiz, Michael; Schröder, Peter
201
2000
Nonconvex energy minimization and dislocation structures in ductile single crystals. Zbl 0964.74012
Ortiz, M.; Repetto, E. A.
162
1999
The variational formulation of viscoplastic constitutive updates. Zbl 0938.74016
Ortiz, M.; Stainier, L.
153
1999
A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations. Zbl 0566.73035
Simo, J. C.; Ortiz, M.
129
1985
An adaptive finite element approach to atomic-scale mechanics. – The quasicontinuum method. Zbl 0982.74071
Shenoy, V. B.; Miller, R.; Tadmor, E. B.; Rodney, D.; Phillips, R.; Ortiz, M.
128
1999
Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Zbl 0585.73057
Ortiz, M.; Popov, E. P.
122
1985
An analysis of a new class of intergration algorithms for elastoplastic constitutive relations. Zbl 0585.73058
Ortiz, M.; Simo, J. C.
115
1986
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems. Zbl 0969.70004
Kane, C.; Marsden, J. E.; Ortiz, M.; West, M.
101
2000
A finite element method for localized failure analysis. Zbl 0597.73105
Ortiz, Michael; Leroy, Yves; Needleman, Alan
101
1987
Fully \(C^1\)-conforming subdivision elements for finite deformation thin-shell analysis. Zbl 1039.74045
Cirak, Fehmi; Ortiz, Michael
100
2001
Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods. Zbl 1146.74048
Arroyo, M.; Ortiz, M.
100
2006
An analysis of the quasicontinuum method. Zbl 1002.74008
Knap, J.; Ortiz, M.
90
2001
Data-driven computational mechanics. Zbl 1425.74503
Kirchdoerfer, T.; Ortiz, M.
83
2016
Formulation of implicit finite element methods for multiplicative finite deformation plasticity. Zbl 0724.73221
Moran, B.; Ortiz, M.; Shih, C. F.
82
1990
Variational time integrators. Zbl 1060.70500
Lew, A.; Marsden, J. E.; Ortiz, M.; West, M.
77
2004
Asynchronous variational integrators. Zbl 1055.74041
Lew, A.; Marsden, J. E.; Ortiz, M.; West, M.
75
2003
Symplectic-energy-momentum preserving variational integrators. Zbl 0983.70014
Kane, C.; Marsden, J. E.; Ortiz, M.
65
1999
Adaptive Lagrangian modelling of ballistic penetration of metallic targets. Zbl 0892.73056
Camacho, G. T.; Ortiz, M.
65
1997
A theory of subgrain dislocation structures. Zbl 1001.74007
Ortiz, M.; Repetto, E. A.; Stainier, L.
59
2000
Error estimation and adaptive meshing in strongly nonlinear dynamic problems. Zbl 0957.74058
Radovitzky, R.; Ortiz, M.
57
1999
A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals. Zbl 1094.74563
Koslowski, M.; Cuitiño, A. M.; Ortiz, M.
57
2002
Dislocation microstructures and the effective behavior of single crystals. Zbl 1064.74144
Conti, Sergio; Ortiz, Michael
53
2005
A variational formulation of the coupled thermo-mechanical boundary value problem for general dissipative solids. Zbl 1120.74367
Yang, Q.; Stainier, L.; Ortiz, M.
53
2006
Optimal BV estimates for a discontinuous Galerkin method for linear elasticity. Zbl 1115.74021
Lew, Adrian; Neff, Patrizio; Sulsky, Deborah; Ortiz, Michael
44
2004
Fracture analysis of cellular materials: a strain gradient model. Zbl 1056.74508
Chen, J. Y.; Huang, Y.; Ortiz, M.
42
1998
The morphology and folding patterns of buckling-driven thin-film blisters. Zbl 0832.73051
Ortiz, Michael; Gioia, Gustavo
41
1994
A continuum model of kinetic roughening and coarsening in thin films. Zbl 0962.76009
Ortiz, M.; Repetto, E. A.; Si, H.
41
1999
Finite element analysis of nonsmooth contact. Zbl 0963.74061
Kane, C.; Repetto, E. A.; Ortiz, M.; Marsden, J. E.
40
1999
On spatial and material covariant balance laws in elasticity. Zbl 1111.74004
Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael
40
2006
Variational integrators for constrained dynamical systems. Zbl 1153.70004
Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael
39
2008
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
39
2008
Discrete crystal elasticity and discrete dislocations in crystals. Zbl 1115.74012
Ariza, M. P.; Ortiz, M.
38
2005
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
36
2003
Lagrangian finite element analysis of Newtonian fluid flows. Zbl 0945.76047
Radovitzky, R.; Ortiz, M.
36
1998
Non-periodic finite-element formulation of Kohn-Sham density functional theory. Zbl 1193.81006
Suryanarayana, Phanish; Gavini, Vikram; Blesgen, Thomas; Bhattacharya, Kaushik; Ortiz, Michael
36
2010
Modelling and simulation of high-speed machining. Zbl 0835.73077
Marusich, T. D.; Ortiz, M.
34
1995
Optimal transportation meshfree approximation schemes for fluid and plastic flows. Zbl 1202.74200
Li, B.; Habbal, F.; Ortiz, M.
34
2010
The computation of the exponential and logarithmic mappings and their first and second linearizations. Zbl 0995.65053
Ortiz, M.; Radovitzky, R. A.; Repetto, E. A.
33
2001
Effective cohesive behavior of layers of interatomic planes. Zbl 1093.74013
Braides, Andrea; Lew, Adrian J.; Ortiz, Michael
33
2006
Model-free data-driven inelasticity. Zbl 1441.74048
Eggersmann, R.; Kirchdoerfer, T.; Reese, S.; Stainier, L.; Ortiz, M.
32
2019
Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040
Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael
31
2009
A variational \(r\)-adaption and shape-optimization method for finite-deformation elasticity. Zbl 1079.74597
Thoutireddy, P.; Ortiz, M.
31
2004
Symmetry-preserving return mapping algorithms and incrementally extremal paths: A unification of concepts. Zbl 0704.73030
Ortiz, Michael; Martin, John B.
31
1989
Smooth, second order, non-negative meshfree approximants selected by maximum entropy. Zbl 1176.74208
Cyron, C. J.; Arroyo, M.; Ortiz, M.
29
2009
Discrete mechanics and optimal control for constrained systems. Zbl 1211.49039
Leyendecker, S.; Ober-Blöbaum, S.; Marsden, J. E.; Ortiz, M.
29
2010
An eigenerosion approach to brittle fracture. Zbl 1352.74299
Pandolfi, A.; Ortiz, M.
29
2012
Delamination of compressed thin films. Zbl 0930.74024
Gioia, Gustavo; Ortiz, Michael
27
1997
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
26
2018
A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials. Zbl 1054.74697
Aubry, Sylvie; Fago, Matt; Ortiz, Michael
25
2003
Data driven computing with noisy material data sets. Zbl 1464.62282
Kirchdoerfer, T.; Ortiz, M.
24
2017
A variational boundary integral method for the analysis of 3-D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops. Zbl 0796.73067
Xu, G.; Ortiz, M.
24
1993
A cohesive approach to thin-shell fracture and fragmentation. Zbl 1082.74052
Cirak, Fehmi; Ortiz, Michael; Pandolfi, Anna
24
2005
An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids. Zbl 1427.74028
Hill, D. J.; Pullin, D.; Ortiz, M.; Meiron, D.
23
2010
The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 1457.35079
Conti, Sergio; Garroni, Adriana; Ortiz, Michael
23
2015
Time-discretized variational formulation of non-smooth frictional contact. Zbl 1035.74043
Pandolfi, A.; Kane, C.; Marsden, J. E.; Ortiz, M.
23
2002
The mechanics of deformation-induced subgrain-dislocation structures in metallic crystals at large strains. Zbl 1041.74506
Aubry, S.; Ortiz, M.
22
2003
Optimal uncertainty quantification. Zbl 1278.60040
Owhadi, H.; Scovel, C.; Sullivan, T. J.; Mckerns, M.; Ortiz, M.
21
2013
Minimum principles for the trajectories of systems governed by rate problems. Zbl 1162.74369
Conti, S.; Ortiz, M.
20
2008
On the numerical implementation of variational arbitrary Lagrangian-Eulerian (VALE) formulations. Zbl 1113.74073
Mosler, J.; Ortiz, M.
20
2006
Study and validation of a variational theory of thermo-mechanical coupling in finite visco-plasticity. Zbl 1183.74037
Stainier, L.; Ortiz, M.
19
2010
A variational constitutive model for porous metal plasticity. Zbl 1102.74007
Weinberg, K.; Mota, A.; Ortiz, M.
18
2006
A discrete mechanics approach to the Cosserat rod theory. I: Static equilibria. Zbl 1217.74069
Jung, Pascal; Leyendecker, Sigrid; Linn, Joachim; Ortiz, Michael
17
2011
On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350
Müller, S.; Ortiz, M.
17
2004
Variational \(h\)-adaption in finite deformation elasticity and plasticity. Zbl 1194.74451
Mosler, J.; Ortiz, M.
17
2007
Quasi-continuum orbital-free density-functional theory: a route to multi-million atom non-periodic DFT calculation. Zbl 1162.74314
Gavinia, Vikram; Bhattacharya, Kaushik; Ortiz, Michael
17
2007
A variational approach to coarse graining of equilibrium and non-equilibrium atomistic description at finite temperature. Zbl 1171.74310
Kulkarni, Yashashree; Knap, Jaroslaw; Ortiz, Michael
17
2008
Fracture paths from front kinetics: relaxation and rate independence. Zbl 1170.74007
Larsen, C. J.; Ortiz, M.; Richardson, C. L.
16
2009
Diamond elements: a finite element/discrete-mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity. Zbl 1194.74406
Hauret, P.; Kuhl, E.; Ortiz, M.
16
2007
Tetrahedral composite finite elements. Zbl 1112.74544
Thoutireddy, P.; Molinari, J. F.; Repetto, E. A.; Ortiz, M.
16
2002
Triangular composite finite elements. Zbl 0985.74068
Guo, Yong; Ortiz, Michael; Belytschko, Ted; Repetto, Eduardo A.
15
2000
Effect of strain hardening and rate sensitivity on the dynamic growth of a void in a plastic material. Zbl 0761.73089
Ortiz, M.; Molinari, A.
15
1992
Effect on interfacial compliance on bifurcation of a layer bonded to a substrate. Zbl 0942.74564
Bigoni, D.; Ortiz, M.; Needleman, A.
15
1997
Solid modeling aspects of three-dimensional fragmentation. Zbl 0933.68141
Pandolfi, A.; Ortiz, M.
15
1998
Three-dimensional finite element simulation of the dynamic Brazilian tests on concrete cylinders. Zbl 1029.74048
Ruiz, Gonzalo; Ortiz, Michael; Pandolfi, Anna
14
2000
Model-free data-driven methods in mechanics: material data identification and solvers. Zbl 1470.74077
Stainier, Laurent; Leygue, Adrien; Ortiz, Michael
14
2019
A variational Cam-clay theory of plasticity. Zbl 1067.74510
Ortiz, M.; Pandolfi, A.
13
2004
Computational micromechanics. Zbl 0890.73054
Ortiz, M.
12
1996
Elastoplastic finite element analysis of three-dimensional fatigue crack growth in aluminum shafts subjected to axial loading. Zbl 0941.74060
de-Andrés, A.; Pérez, J. L.; Ortiz, M.
12
1999
Non-periodic finite-element formulation of orbital-free density functional theory. Zbl 1162.74461
Gavinia, Vikram; Knap, Jaroslaw; Bhattacharya, Kaushik; Ortiz, Michael
12
2007
A class of variational strain-localization finite elements. Zbl 1081.74045
Yang, Q.; Mota, A.; Ortiz, M.
12
2005
Concurrent multiscale computing of deformation microstructure by relaxation and local enrichment with application to single-crystal plasticity. Zbl 1135.74005
Conti, Sergio; Hauret, Patrice; Ortiz, Michael
11
2007
Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behavior. Zbl 1004.74009
Nguyen, O.; Ortiz, M.
11
2002
Hierarchical modeling in the mechanics of materials. Zbl 1075.74024
Tadmor, E. B.; Phillips, R.; Ortiz, M.
10
2000
Convergence analysis of meshfree approximation schemes. Zbl 1416.65469
Bompadre, A.; Schmidt, B.; Ortiz, M.
10
2012
Convergent meshfree approximation schemes of arbitrary order and smoothness. Zbl 1253.65191
Bompadre, Agustín; Perotti, L. E.; Cyron, Christian J.; Ortiz, Michael
10
2012
An analysis of non-planar crack growth under mixed mode loading. Zbl 0946.74570
Xu, G.; Bower, A. F.; Ortiz, M.
10
1994
Variational \(r\)-adaption in elastodynamics. Zbl 1158.74507
Zielonka, M. G.; Ortiz, M.; Marsden, J. E.
10
2008
Folding energetics in thin-film diaphragms. Zbl 1065.74046
Gioia, G.; DeSimone, A.; Ortiz, M.; Cuitiño, A. M.
10
2002
Data-driven fracture mechanics. Zbl 07337885
Carrara, P.; De Lorenzis, L.; Stainier, L.; Ortiz, M.
9
2020
Stability of solids with interfaces. Zbl 0760.73030
Suo, Z.; Ortiz, M.; Needleman, A.
9
1992
A finite element method for analyzing localization in rate dependent solids at finite strains. Zbl 0688.73042
Nacar, A.; Needleman, A.; Ortiz, M.
9
1989
Energy-based model of compressive splitting in heterogeneous brittle solids. Zbl 0968.74056
Bhattacharya, K.; Ortiz, M.; Ravichandran, G.
8
1998
Finite element simulation of dynamic fracture and fragmentation of glass rods. Zbl 0992.74073
Repetto, E. A.; Radovitzky, R.; Ortiz, M.
8
2000
Tetrahedral mesh generation based on node insertion in crystal lattice arrangements and advancing-front-Delaunay triangulation. Zbl 0980.74080
Radovitzky, R.; Ortiz, M.
8
2000
Effect of boundaries and interfaces on shear-band localization. Zbl 0749.73024
Needleman, A.; Ortiz, M.
8
1991
Biomechanics of traumatic brain injury. Zbl 1194.74199
El Sayed, Tamer; Mota, Alejandro; Fraternali, Fernando; Ortiz, Michael
8
2008
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
8
2020
Model-free data-driven computational mechanics enhanced by tensor voting. Zbl 07337781
Eggersmann, Robert; Stainier, Laurent; Ortiz, Michael; Reese, Stefanie
7
2021
A spatially adaptive phase-field model of fracture. Zbl 07532553
Phansalkar, Dhananjay; Weinberg, Kerstin; Ortiz, Michael; Leyendecker, Sigrid
1
2022
Model-free data-driven computational mechanics enhanced by tensor voting. Zbl 07337781
Eggersmann, Robert; Stainier, Laurent; Ortiz, Michael; Reese, Stefanie
7
2021
A comparative accuracy and convergence study of eigenerosion and phase-field models of fracture. Zbl 07427319
Pandolfi, A.; Weinberg, K.; Ortiz, M.
5
2021
Efficient data structures for model-free data-driven computational mechanics. Zbl 07415021
Eggersmann, Robert; Stainier, Laurent; Ortiz, Michael; Reese, Stefanie
2
2021
Mollified finite element approximants of arbitrary order and smoothness. Zbl 07337794
Febrianto, Eky; Ortiz, Michael; Cirak, Fehmi
2
2021
Finite element solver for data-driven finite strain elasticity. Zbl 07340362
Platzer, Auriane; Leygue, Adrien; Stainier, Laurent; Ortiz, Michael
2
2021
Data-driven nonlocal mechanics: discovering the internal length scales of materials. Zbl 07427309
Karapiperis, K.; Ortiz, M.; Andrade, J. E.
1
2021
Data-driven fracture mechanics. Zbl 07337885
Carrara, P.; De Lorenzis, L.; Stainier, L.; Ortiz, M.
9
2020
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
8
2020
Symmetric div-quasiconvexity and the relaxation of static problems. Zbl 1434.74010
Conti, S.; Müller, S.; Ortiz, M.
2
2020
Model-free data-driven inelasticity. Zbl 1441.74048
Eggersmann, R.; Kirchdoerfer, T.; Reese, S.; Stainier, L.; Ortiz, M.
32
2019
Model-free data-driven methods in mechanics: material data identification and solvers. Zbl 1470.74077
Stainier, Laurent; Leygue, Adrien; Ortiz, Michael
14
2019
Functional optimality of the sulcus pattern of the human brain. Zbl 1418.92007
Heyden, S.; Ortiz, M.
2
2019
Fractional strain-gradient plasticity. Zbl 1472.74035
Dahlberg, C. F. O.; Ortiz, M.
1
2019
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
26
2018
A variational approach to Navier-Stokes. Zbl 1406.35237
Ortiz, Michael; Schmidt, Bernd; Stefanelli, Ulisse
3
2018
Kinematics of elasto-plasticity: validity and limits of applicability of \(\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}\) for general three-dimensional deformations. Zbl 1479.74016
Reina, Celia; Fokoua Djodom, Landry; Ortiz, Michael; Conti, Sergio
1
2018
Variational modeling of dislocations in crystals in the line-tension limit. Zbl 1402.82018
Ariza, Pilar; Conti, Sergio; Garroni, Adriana; Ortiz, Michael
1
2018
Data driven computing with noisy material data sets. Zbl 1464.62282
Kirchdoerfer, T.; Ortiz, M.
24
2017
Data-driven computational mechanics. Zbl 1425.74503
Kirchdoerfer, T.; Ortiz, M.
83
2016
A variational framework for spectral approximations of Kohn-Sham density functional theory. Zbl 1338.35381
Wang, Xin-Cindy; Blesgen, Thomas; Bhattacharya, Kaushik; Ortiz, Michael
2
2016
Optimal scaling in solids undergoing ductile fracture by crazing. Zbl 1343.35226
Conti, Sergio; Ortiz, Michael
2
2016
A sublinear-scaling approach to density-functional-theory analysis of crystal defects. Zbl 1482.74052
Ponga, M.; Bhattacharya, K.; Ortiz, M.
1
2016
The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 1457.35079
Conti, Sergio; Garroni, Adriana; Ortiz, Michael
23
2015
A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity. Zbl 1349.74034
Heyden, S.; Li, B.; Weinberg, K.; Conti, S.; Ortiz, M.
4
2015
Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation. Zbl 1352.65035
Klusemann, B.; Ortiz, M.
2
2015
Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
6
2014
Optimal scaling in solids undergoing ductile fracture by void sheet formation. Zbl 1294.35161
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
6
2014
Discontinuous variational time integrators for complex multibody collisions. Zbl 1352.70040
Johnson, G.; Leyendecker, S.; Ortiz, M.
3
2014
A massively parallel implementation of the optimal transportation meshfree method for explicit solid dynamics. Zbl 1325.74166
Li, B.; Stalzer, M.; Ortiz, M.
2
2014
Atomistic long-term simulation of heat and mass transport. Zbl 1349.82063
Venturini, G.; Wang, K.; Romero, I.; Ariza, M. P.; Ortiz, M.
1
2014
The special-linear update: an application of differential manifold theory to the update of isochoric plasticity flow rules. Zbl 1352.74065
Hurtado, D. E.; Stainier, L.; Ortiz, M.
1
2014
Optimal uncertainty quantification. Zbl 1278.60040
Owhadi, H.; Scovel, C.; Sullivan, T. J.; Mckerns, M.; Ortiz, M.
21
2013
Coarse-graining Kohn-Sham density functional theory. Zbl 1258.81090
Suryanarayana, Phanish; Bhattacharya, Kaushik; Ortiz, Michael
7
2013
A micromechanical model of distributed damage due to void growth in general materials and under general deformation histories. Zbl 1352.74302
Reina, Celia; Li, Bo; Weinberg, Kerstin; Ortiz, Michael
6
2013
Finite element analysis of geometrically necessary dislocations in crystal plasticity. Zbl 1352.74079
Hurtado, Daniel E.; Ortiz, Michael
3
2013
A \(\Gamma\)-convergence analysis of the quasicontinuum method. Zbl 1355.70007
Espanõl, Malena I.; Kochmann, Dennis M.; Conti, Sergio; Ortiz, Michael
2
2013
Automatically inf-sup compliant diamond-mixed finite elements for Kirchhoff plates. Zbl 1352.74166
Perotti, L. E.; Bompadre, A.; Ortiz, M.
1
2013
An eigenerosion approach to brittle fracture. Zbl 1352.74299
Pandolfi, A.; Ortiz, M.
29
2012
Convergence analysis of meshfree approximation schemes. Zbl 1416.65469
Bompadre, A.; Schmidt, B.; Ortiz, M.
10
2012
Convergent meshfree approximation schemes of arbitrary order and smoothness. Zbl 1253.65191
Bompadre, Agustín; Perotti, L. E.; Cyron, Christian J.; Ortiz, Michael
10
2012
Relaxed incremental variational formulation for damage at large strains with application to fiber-reinforced materials and materials with truss-like microstructures. Zbl 1352.74067
Balzani, Daniel; Ortiz, Michael
5
2012
A linear programming-based algorithm for the signed separation of (non-smooth) convex bodies. Zbl 1253.90165
Johnson, Gwen; Ortiz, Michael; Leyendecker, Sigrid
3
2012
A discrete mechanics approach to the Cosserat rod theory. I: Static equilibria. Zbl 1217.74069
Jung, Pascal; Leyendecker, Sigrid; Linn, Joachim; Ortiz, Michael
17
2011
A mesh-free convex approximation scheme for Kohn-sham density functional theory. Zbl 1219.65058
Suryanarayana, Phanish; Bhattacharya, Kaushik; Ortiz, Michael
6
2011
A duality-based method for generating geometric representations of polycrystals. Zbl 1235.74369
Rimoli, J. J.; Ortiz, M.
2
2011
Replica time integrators. Zbl 1242.74195
Venturini, G.; Yang, J. Z.; Ortiz, M.; Marsden, J. E.
2
2011
Non-periodic finite-element formulation of Kohn-Sham density functional theory. Zbl 1193.81006
Suryanarayana, Phanish; Gavini, Vikram; Blesgen, Thomas; Bhattacharya, Kaushik; Ortiz, Michael
36
2010
Optimal transportation meshfree approximation schemes for fluid and plastic flows. Zbl 1202.74200
Li, B.; Habbal, F.; Ortiz, M.
34
2010
Discrete mechanics and optimal control for constrained systems. Zbl 1211.49039
Leyendecker, S.; Ober-Blöbaum, S.; Marsden, J. E.; Ortiz, M.
29
2010
An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids. Zbl 1427.74028
Hill, D. J.; Pullin, D.; Ortiz, M.; Meiron, D.
23
2010
Study and validation of a variational theory of thermo-mechanical coupling in finite visco-plasticity. Zbl 1183.74037
Stainier, L.; Ortiz, M.
19
2010
Energy-stepping integrators in Lagrangian mechanics. Zbl 1188.70002
Gonzalez, M.; Schmidt, B.; Ortiz, M.
7
2010
Force-stepping integrators in Lagrangian mechanics. Zbl 1202.70006
Gonzalez, M.; Schmidt, B.; Ortiz, M.
3
2010
Corrigendum to “Non-periodic finite-element formulation of orbital-free density functional theory” [Journal of the Mechanics and Physics of Solids 55, 669-696 (2007; Zbl 1162.74461)]. Zbl 1225.74088
Gavini, Vikram; Knap, Jaroslaw; Bhattacharya, Kaushik; Ortiz, Michael
1
2010
Evolution of anodic stress corrosion cracking in a coated material. Zbl 1426.74258
Bjerkén, C.; Ortiz, M.
1
2010
Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040
Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael
31
2009
Smooth, second order, non-negative meshfree approximants selected by maximum entropy. Zbl 1176.74208
Cyron, C. J.; Arroyo, M.; Ortiz, M.
29
2009
Fracture paths from front kinetics: relaxation and rate independence. Zbl 1170.74007
Larsen, C. J.; Ortiz, M.; Richardson, C. L.
16
2009
An error-estimate-free and remapping-free variational mesh refinement and coarsening method for dissipative solids at finite strains. Zbl 1155.74412
Mosler, J.; Ortiz, M.
7
2009
\(\Gamma \)-convergence of variational integrators for constrained systems. Zbl 1179.37112
Schmidt, Bernd; Leyendecker, Sigrid; Ortiz, Michael
6
2009
On the behavior of dissipative systems in contact with a heat bath: application to Andrade creep. Zbl 1173.82348
Sullivan, T.; Koslowski, M.; Theil, F.; Ortiz, M.
3
2009
Variational integrators for constrained dynamical systems. Zbl 1153.70004
Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael
39
2008
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
39
2008
Minimum principles for the trajectories of systems governed by rate problems. Zbl 1162.74369
Conti, S.; Ortiz, M.
20
2008
A variational approach to coarse graining of equilibrium and non-equilibrium atomistic description at finite temperature. Zbl 1171.74310
Kulkarni, Yashashree; Knap, Jaroslaw; Ortiz, Michael
17
2008
Variational \(r\)-adaption in elastodynamics. Zbl 1158.74507
Zielonka, M. G.; Ortiz, M.; Marsden, J. E.
10
2008
Biomechanics of traumatic brain injury. Zbl 1194.74199
El Sayed, Tamer; Mota, Alejandro; Fraternali, Fernando; Ortiz, Michael
8
2008
Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities. Zbl 1194.74550
Lucas, L. J.; Owhadi, H.; Ortiz, M.
7
2008
Fracture and fragmentation of simplicial finite element meshes using graphs. Zbl 1163.74045
Mota, Alejandro; Knap, Jaroslaw; Ortiz, Michael
7
2008
Erratum: Prediction of dislocation nucleation during nanoindentation by the orbital-free density functional theory local quasi-continuum method. Zbl 1171.74322
Hayes, Robin L.; Fago, Matthew; Ortiz, Michael; Carter, Emily A.
5
2008
Variational \(h\)-adaption in finite deformation elasticity and plasticity. Zbl 1194.74451
Mosler, J.; Ortiz, M.
17
2007
Quasi-continuum orbital-free density-functional theory: a route to multi-million atom non-periodic DFT calculation. Zbl 1162.74314
Gavinia, Vikram; Bhattacharya, Kaushik; Ortiz, Michael
17
2007
Diamond elements: a finite element/discrete-mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity. Zbl 1194.74406
Hauret, P.; Kuhl, E.; Ortiz, M.
16
2007
Non-periodic finite-element formulation of orbital-free density functional theory. Zbl 1162.74461
Gavinia, Vikram; Knap, Jaroslaw; Bhattacharya, Kaushik; Ortiz, Michael
12
2007
Concurrent multiscale computing of deformation microstructure by relaxation and local enrichment with application to single-crystal plasticity. Zbl 1135.74005
Conti, Sergio; Hauret, Patrice; Ortiz, Michael
11
2007
Numerical modelling and experimental validation of dynamic fracture events along weak planes. Zbl 1173.74394
Arias, Irene; Knap, Jaroslaw; Chalivendra, Vijaya B.; Hong, Soonsung; Ortiz, Michael; Rosakis, Ares J.
7
2007
A discrete mechanics approach to dislocation dynamics in BCC crystals. Zbl 1173.74007
Ramasubramaniam, A.; Ariza, M. P.; Ortiz, M.
7
2007
A theory of anharmonic lattice statics for analysis of defective crystals. Zbl 1104.74018
Yavari, Arash; Ortiz, Michael; Bhattacharya, Kaushik
6
2007
Local maximum-entropy approximation schemes. Zbl 1114.65136
Arroyo, Marino; Ortiz, Michael
5
2007
A 3D cohesive investigation on branching for brittle materials. Zbl 1209.74065
Yu, Rena C.; Pandolfi, Anna; Ortiz, Michael
1
2007
Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods. Zbl 1146.74048
Arroyo, M.; Ortiz, M.
100
2006
A variational formulation of the coupled thermo-mechanical boundary value problem for general dissipative solids. Zbl 1120.74367
Yang, Q.; Stainier, L.; Ortiz, M.
53
2006
On spatial and material covariant balance laws in elasticity. Zbl 1111.74004
Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael
40
2006
Effective cohesive behavior of layers of interatomic planes. Zbl 1093.74013
Braides, Andrea; Lew, Adrian J.; Ortiz, Michael
33
2006
On the numerical implementation of variational arbitrary Lagrangian-Eulerian (VALE) formulations. Zbl 1113.74073
Mosler, J.; Ortiz, M.
20
2006
A variational constitutive model for porous metal plasticity. Zbl 1102.74007
Weinberg, K.; Mota, A.; Ortiz, M.
18
2006
A recursive-faulting model of distributed damage in confined brittle materials. Zbl 1120.74735
Pandolfi, A.; Conti, S.; Ortiz, M.
7
2006
A finite-deformation constitutive model of bulk metallic glass plasticity. Zbl 1138.74314
Yang, Q.; Mota, A.; Ortiz, M.
4
2006
BV estimates for mortar methods in linear elasticity. Zbl 1118.74048
Hauret, Patrice; Ortiz, Michael
3
2006
Quantum mechanics based multiscale modeling of stress-induced phase transformations in iron. Zbl 1120.74687
Lew, A.; Caspersen, K.; Carter, E. A.; Ortiz, M.
1
2006
Dislocation microstructures and the effective behavior of single crystals. Zbl 1064.74144
Conti, Sergio; Ortiz, Michael
53
2005
Discrete crystal elasticity and discrete dislocations in crystals. Zbl 1115.74012
Ariza, M. P.; Ortiz, M.
38
2005
A cohesive approach to thin-shell fracture and fragmentation. Zbl 1082.74052
Cirak, Fehmi; Ortiz, Michael; Pandolfi, Anna
24
2005
A class of variational strain-localization finite elements. Zbl 1081.74045
Yang, Q.; Mota, A.; Ortiz, M.
12
2005
Prediction of dislocation nucleation during nanoindentation by the orbital-free density functional theory local quasi-continuum method. Zbl 1108.74319
Hayes, Robin L.; Fago, Matt; Ortiz, Michael; Carter, Emily A.
3
2005
Three-dimensional director-field predictions of viral DNA packing arrangements. Zbl 1095.92032
Klug, W. S.; Feldmann, M. T.; Ortiz, M.
1
2005
Variational time integrators. Zbl 1060.70500
Lew, A.; Marsden, J. E.; Ortiz, M.; West, M.
77
2004
Optimal BV estimates for a discontinuous Galerkin method for linear elasticity. Zbl 1115.74021
Lew, Adrian; Neff, Patrizio; Sulsky, Deborah; Ortiz, Michael
44
2004
A variational \(r\)-adaption and shape-optimization method for finite-deformation elasticity. Zbl 1079.74597
Thoutireddy, P.; Ortiz, M.
31
2004
...and 86 more Documents
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Cited by 3,929 Authors

106 Ortiz, Michael
39 Conti, Sergio
31 Rabczuk, Timon
28 Miehe, Christian
28 Mosler, Jörn
25 Stainier, Laurent
25 Wriggers, Peter
24 Steinmann, Paul
23 Bazilevs, Yuri
21 Sun, WaiChing
20 Garroni, Adriana
20 Lew, Adrian J.
19 Marsden, Jerrold Eldon
19 Stefanelli, Ulisse
19 Yavari, Arash
18 Belytschko, Ted Bohdan
18 Leyendecker, Sigrid
18 Mielke, Alexander
18 Oñate Ibáñez de Navarra, Eugenio
18 Ortner, Christoph
17 Bordas, Stéphane Pierre Alain
17 Liu, Wing Kam
16 Arroyo, Marino
16 Hackl, Klaus
16 Hughes, Thomas J. R.
16 Ibrahimbegović, Adnan
16 Molinari, Jean-Francois
16 Müller, Stefan
15 Geers, Marc G. D.
14 Areias, Pedro M. A.
14 Braides, Andrea
14 Cirak, Fehmi
14 de Borst, René
14 Kiendl, Josef
14 Leok, Melvin
14 Sukumar, Natarajan
13 Bigoni, Davide
13 Paulino, Glaucio H.
13 Weinberg, Kerstin
12 Ghosh, Somnath
12 Hsu, Ming-Chen
12 Kochmann, Dennis M.
12 Le Khanh Chau
12 Li, Shaofan
12 Neff, Patrizio
12 Radovitzky, Raúl A.
11 Borja, Ronaldo I.
11 de Lorenzis, Laura
11 Dondl, Patrick Werner
11 Gao, Huajian
11 Mota, Alejandro
11 Ober-Blöbaum, Sina
11 Romero, Ignacio
11 Simo, Juan Carlos
10 Armero, Francisco
10 Geubelle, Philippe H.
10 Luskin, Mitchell
10 Masud, Arif
10 Owen, David Roger Jones
10 Pandolfi, Anna
9 Acharya, Amit
9 Benson, David J.
9 Fish, Jacob
9 Huerta, Antonio
9 Matouš, Karel
9 Noels, Ludovic
9 Perić, Djordje
9 Ramesh, K. T.
9 Schmidt, Bernd
8 Bletzinger, Kai-Uwe
8 Chen, Huajie
8 Chen, Jiun-Shyan
8 DeSimone, Antonio
8 Gravouil, Anthony
8 Holzapfel, Gerhard Alfred
8 Huang, Yonggang Young
8 Khoei, Amir R.
8 Larsson, Ragnar
8 Linder, Christian
8 Meschke, Günther
8 Millán, Daniel
8 Needleman, Alan
8 Paggi, Marco
8 Peerlings, Ron H. J.
8 Ponsiglione, Marcello
8 Reese, Stefanie
8 Reina, Celia
8 Runesson, Kenneth
8 Rungamornrat, Jaroon
8 Scott, Michael A.
8 Sevilla, Ruben
8 Verhoosel, Clemens V.
8 Wall, Wolfgang A.
8 Wüchner, Roland
7 Alicandro, Roberto
7 Balzani, Daniel
7 Beirão da Veiga, Lourenço
7 Bhattacharya, Kaushik
7 Combescure, Alain
7 De Luca, Lucia
...and 3,829 more Authors
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Cited in 238 Serials

708 Computer Methods in Applied Mechanics and Engineering
272 International Journal for Numerical Methods in Engineering
226 Journal of the Mechanics and Physics of Solids
217 Computational Mechanics
107 Journal of Computational Physics
62 European Journal of Mechanics. A. Solids
56 International Journal of Solids and Structures
54 International Journal of Fracture
51 Archive for Rational Mechanics and Analysis
41 Acta Mechanica
35 Continuum Mechanics and Thermodynamics
32 Engineering Analysis with Boundary Elements
28 Mathematics and Mechanics of Solids
27 International Journal of Engineering Science
27 Journal of Elasticity
26 International Journal of Plasticity
26 Archives of Computational Methods in Engineering
23 Engineering Computations
21 Journal of Nonlinear Science
19 Applied Mathematics and Computation
19 Journal of Computational and Applied Mathematics
19 Meccanica
19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
18 Communications in Numerical Methods in Engineering
16 Calculus of Variations and Partial Differential Equations
16 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
14 Computers and Fluids
14 Computers & Mathematics with Applications
13 International Journal for Numerical and Analytical Methods in Geomechanics
13 Journal of Differential Equations
13 GAMM-Mitteilungen
13 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
12 International Journal of Computational Methods
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Numerische Mathematik
11 Physica D
11 SIAM Journal on Mathematical Analysis
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Communications in Computational Physics
10 Journal of Mathematical Physics
10 Mathematics and Computers in Simulation
10 Journal of Scientific Computing
10 SIAM Journal on Scientific Computing
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
10 Multiscale Modeling & Simulation
9 Journal of Engineering Mathematics
9 Applied Mathematical Modelling
9 Communications in Nonlinear Science and Numerical Simulation
9 Acta Mechanica Sinica
8 Journal of Mathematical Analysis and Applications
8 Computer Aided Geometric Design
8 Mathematical Problems in Engineering
7 Advances in Computational Mathematics
6 Mechanics Research Communications
6 Applied Numerical Mathematics
6 Archive of Applied Mechanics
6 Nonlinear Dynamics
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Foundations of Computational Mathematics
6 Discrete and Continuous Dynamical Systems. Series S
5 Applicable Analysis
5 Communications on Pure and Applied Mathematics
5 International Journal for Numerical Methods in Fluids
5 Nonlinearity
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Applied Mathematics and Mechanics. (English Edition)
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Celestial Mechanics and Dynamical Astronomy
5 Journal of Convex Analysis
5 Discrete and Continuous Dynamical Systems
5 Multibody System Dynamics
5 SIAM/ASA Journal on Uncertainty Quantification
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Nonlinear Analysis. Real World Applications
4 Discrete and Continuous Dynamical Systems. Series B
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Networks and Heterogeneous Media
4 International Journal for Computational Methods in Engineering Science and Mechanics
3 Journal of Fluid Mechanics
3 Mathematical Methods in the Applied Sciences
3 Mathematics of Computation
3 Journal of Geometry and Physics
3 Finite Elements in Analysis and Design
3 Numerical Methods for Partial Differential Equations
3 Japan Journal of Industrial and Applied Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 SIAM Journal on Applied Mathematics
3 SIAM Review
3 Mathematical Programming. Series A. Series B
3 Abstract and Applied Analysis
3 Journal of Dynamical and Control Systems
3 Journal of Evolution Equations
3 Dynamical Systems
3 Algorithms
3 Advances in Applied Mathematics and Mechanics
3 Science China. Mathematics
3 International Journal for Numerical Methods in Biomedical Engineering
3 AMM. Applied Mathematics and Mechanics. (English Edition)
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 SMAI Journal of Computational Mathematics
...and 138 more Serials
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Cited in 44 Fields

2,218 Mechanics of deformable solids (74-XX)
695 Numerical analysis (65-XX)
239 Partial differential equations (35-XX)
233 Fluid mechanics (76-XX)
160 Calculus of variations and optimal control; optimization (49-XX)
149 Statistical mechanics, structure of matter (82-XX)
125 Mechanics of particles and systems (70-XX)
81 Dynamical systems and ergodic theory (37-XX)
79 Biology and other natural sciences (92-XX)
46 Differential geometry (53-XX)
44 Computer science (68-XX)
39 Quantum theory (81-XX)
35 Classical thermodynamics, heat transfer (80-XX)
27 Probability theory and stochastic processes (60-XX)
24 Operations research, mathematical programming (90-XX)
23 Optics, electromagnetic theory (78-XX)
21 Ordinary differential equations (34-XX)
20 Systems theory; control (93-XX)
17 Statistics (62-XX)
15 Global analysis, analysis on manifolds (58-XX)
13 Approximations and expansions (41-XX)
12 Operator theory (47-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 Geophysics (86-XX)
9 Real functions (26-XX)
9 Difference and functional equations (39-XX)
9 Integral equations (45-XX)
7 Functional analysis (46-XX)
7 Relativity and gravitational theory (83-XX)
7 Information and communication theory, circuits (94-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 General and overarching topics; collections (00-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
3 Topological groups, Lie groups (22-XX)
2 Combinatorics (05-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)

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