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Author ID: de-borst.rene Recent zbMATH articles by "de Borst, René"
Published as: de Borst, René; de Borst, R.; De Borst, R.; De Borst, René; de Borst, Rene; De Borst, Rene
Homepage: https://www.sheffield.ac.uk/civil/staff/academic/deborst
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

12 single-authored
16 Remmers, Joris J. C.
15 Sluys, Lambertus Johannes
15 Van Brummelen, Harald
14 Verhoosel, Clemens V.
12 Réthoré, Julien
11 Chen, Lin
11 Pamin, Jerzy
10 Abellan, Marie-Angèle
10 Brekelmans, W. A. M.
10 Peerlings, Ron H. J.
9 Geers, Marc G. D.
9 Suiker, Akke S. J.
8 Gutiérrez, Miguel A.
8 Hulshoff, Steven J.
7 Hageman, Tim
7 Wells, Garth N.
6 Heeres, Otto M.
5 Feenstra, Peter H.
5 May, Stefan
5 Michler, Christian
5 Schellekens, J. C. J.
5 Vignollet, Julien
4 Askes, Harm
4 Hosseini, Saman
4 Needleman, Alan
4 Vuik, Cornelis
3 Akkerman, Ido
3 Aubertin, Pascal
3 Fathi, Farshid
3 Ganghoffer, Jean-François
3 Groen, Arend E.
3 Hughes, Thomas J. R.
3 Li, Bin
3 Mühlhaus, Hans-Bernd
3 Rots, Jan G.
2 Arbocz, Johann
2 Chang, Ching-Sen
2 Cid Alfaro, M. V.
2 Coret, Michel
2 Crisfield, Michael A.
2 de Vree, J. H. P.
2 Esveld, Coenraad
2 Farhat, Charbel H.
2 Fish, Jacob
2 Ghaffari Motlagh, Yousef
2 Harari, Isaac
2 Irzal, Faisal
2 Kästner, Markus
2 Kuhl, Ellen
2 Le Tallec, Patrick
2 Munts, E. A.
2 Perić, Djordje
2 Ramm, Ekkehard
2 Scott, Michael A.
2 Valance, Stéphane
2 van den Bogert, P. A. J.
2 van der Giessen, Erik
2 van der Veen, Hilda
2 van Zijl, G. P. A. G.
1 Baker, Graham
1 Belytschko, Ted Bohdan
1 Bicanic, Nenad
1 Blaauwendraad, Johan
1 Borino, Guido
1 Brillard, Alain
1 Carmeliet, Jan
1 Cauvern, M.
1 Chung, Doo Bo
1 Combescure, Alain
1 Darve, Félix
1 Hansen-Dörr, Arne Claus
1 Hashagen, Frank
1 Hennig, Paul
1 Huyghe, Jacques M.
1 Jimack, Peter K.
1 Lewis, Mervyn R.
1 Lourenço, Paulo B.
1 Metrikine, Andrei V.
1 Metsch, Philipp
1 Peeters, Paul P. J. M.
1 Sabet, Sepideh Alizadeh
1 Sadowski, Tomasz
1 Schrefler, Bernhard A.
1 Smith, Ian M.
1 Spee, I.
1 Stein, Erwin
1 Sture, Stein
1 van den Boogaard, A. H.
1 van der Zee, Kris G.
1 van Opstal, T. M.
1 van Rietbergen, Bert
1 van Vroonhoven, Jos C. W.
1 van Zwieten, G. J.
1 Weihe, Stefan
1 Whittle, Andrew J.
1 Wolfert, A. R. M.
1 Zhang, Hongwu
all top 5

Serials

48 International Journal for Numerical Methods in Engineering
25 Computer Methods in Applied Mechanics and Engineering
15 International Journal of Solids and Structures
9 European Journal of Mechanics. A. Solids
7 Computational Mechanics
5 Computers and Structures
5 International Journal for Numerical and Analytical Methods in Geomechanics
5 Archive of Applied Mechanics
4 Journal of Computational Physics
3 Acta Mechanica
3 Archives of Mechanics
3 International Journal for Numerical Methods in Fluids
3 European Journal of Mechanics. A. Solids
3 SIAM Journal on Scientific Computing
3 Engineering Computations
2 Computers & Mathematics with Applications
2 Communications in Applied Numerical Methods
2 Communications in Numerical Methods in Engineering
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Computers and Fluids
1 International Journal of Engineering Science
1 Journal of the Mechanics and Physics of Solids
1 Wave Motion
1 SIAM Journal on Numerical Analysis
1 Applied Numerical Mathematics
1 Mathematical and Computer Modelling
1 Revue Européenne des Éléments Finis
1 Engineering Computations
1 Computational Geosciences
1 Computer Assisted Mechanics and Engineering Sciences
1 International Journal of Fracture
1 Solid Mechanics and Its Applications
1 Lecture Notes in Applied and Computational Mechanics
1 Revue Européenne de Mécanique Numérique
1 IUTAM Bookseries
1 Wiley Series in Computational Mechanics

Publications by Year

Citations contained in zbMATH Open

155 Publications have been cited 3,612 times in 2,250 Documents Cited by Year
Gradient enhanced damage for quasi-brittle materials. Zbl 0882.73057
Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; de Vree, J. H. P.
286
1996
Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019
De Borst, René; Mühlhaus, Hans-Bernd
187
1992
Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001
168
2004
A critical comparison of nonlocal and gradient-enhanced softening continua. Zbl 1032.74008
Peerlings, R. H. J.; Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.
149
2001
Nonlinear finite element analysis of solids and structures. 2nd ed. Zbl 1300.74002
de Borst, René; Crisfield, Mike A.; Remmers, Joris J.; Verhoosel, Clemens V.
138
2012
A phase-field model for cohesive fracture. Zbl 1352.74029
Verhoosel, Clemens V.; De Borst, René
119
2013
Strain-based transient-gradient damage model for failure analyses. Zbl 0938.74006
Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.; Peerlings, R. H. J.
89
1998
On the numerical integration of interface elements. Zbl 0825.73840
Schellekens, J. C. J.; de Borst, R.
87
1993
A cohesive segments method for the simulation of crack growth. Zbl 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
81
2003
An isogeometric analysis approach to gradient damage models. Zbl 1235.74320
Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René
80
2011
Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347
de Borst, René; Verhoosel, Clemens V.
73
2016
An isogeometric approach to cohesive zone modeling. Zbl 1242.74169
Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R.
69
2011
Computation of post-bifurcation and post-failure behavior of strain- softening solids. Zbl 0603.73046
de Borst, R.
59
1987
A monolithic approach to fluid-structure interaction. Zbl 1053.76042
Michler, C.; Hulshoff, S. J.; van Brummelen, E. H.; de Borst, R.
59
2004
An isogeometric solid-like shell element for nonlinear analysis. Zbl 1352.74362
Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; De Borst, René
57
2013
Some novel developments in finite element procedures for gradient-dependent plasticity. Zbl 0885.73074
de Borst, René; Pamin, Jerzy
54
1996
On the nonnormality of subiteration for a fluid-structure-interaction problem. Zbl 1136.65334
van Brummelen, E. H.; de Borst, R.
52
2005
Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone. Zbl 1423.74929
Verhoosel, C. V.; van Zwieten, G. J.; van Rietbergen, B.; de Borst, R.
52
2015
A numerical assessment of phase-field models for brittle and cohesive fracture: \(\Gamma\)-convergence and stress oscillations. Zbl 1406.74599
May, Stefan; Vignollet, Julien; de Borst, René
50
2015
An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033
Michler, C.; van Brummelen, E. H.; de Borst, R.
47
2005
A generalisation of \(J_ 2\)-flow theory for polar continua. Zbl 0777.73014
de Borst, René
47
1993
A consistent geometrically nonlinear approach for delamination. Zbl 1086.74043
Wells, G. N.; de Borst, R.; Sluys, L. J.
47
2002
Computational homogenization for adhesive and cohesive failure in quasi-brittle solids. Zbl 1197.74139
Verhoosel, Clemens V.; Remmers, Joris J. C.; Gutiérrez, Miguel A.; de Borst, René
46
2010
Some observations on localisation in non-local and gradient damage models. Zbl 0891.73055
Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; de Vree, J. H. P.; Spee, I.
44
1996
A two-scale approach for fluid flow in fractured porous media. Zbl 1194.76139
Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle
42
2007
An isogeometric continuum shell element for non-linear analysis. Zbl 1296.74057
Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René
39
2014
Viscoplasticity for instabilities due to strain softening and strain-rate softening. Zbl 0974.74511
Wang, W. M.; Sluys, L. J.; de Borst, R.
38
1997
Micro-mechanical modelling of granular material. I: Derivation of a second-gradient micro-polar constitutive theory. II: Plane wave propagation in infinite media. Zbl 1135.74307
Suiker, A. S. J.; de Borst, R.; Chang, C. S.
37
2001
On coupled gradient-dependent plasticity and damage theories with a view to localization analysis. Zbl 0968.74007
de Borst, René; Pamin, Jerzy; Geers, Marc G. D.
36
1999
A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks. Zbl 1154.76053
Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle
35
2008
Wave propagation, localization and dispersion in a gradient-dependent medium. Zbl 0771.73017
Sluys, L. J.; de Borst, R.; Mühlhaus, H.-B.
34
1993
Discrete \(vs\) smeared crack models for concrete fracture: bridging the gap. Zbl 1086.74044
de Borst, René; Remmers, Joris J. C.; Needleman, Alan; Abellan, Marie-Angèle
32
2004
The simulation of dynamic crack propagation using the cohesive segments method. Zbl 1162.74438
Remmers, Joris J. C.; de Borst, René; Needleman, Alan
32
2008
An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617
Kuhl, E.; Hulshoff, S.; de Borst, R.
30
2003
Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models. Zbl 0984.74034
Suiker, A. S. J.; Metrikine, A. V.; de Borst, R.
30
2001
Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453
Kästner, Markus; Metsch, Philipp; de Borst, René
29
2016
A numerical approach for arbitrary cracks in a fluid-saturated medium. Zbl 1168.74447
de Borst, René; Réthoré, Julien; Abellan, Marie-Angèle
29
2006
On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials. Zbl 0840.73047
de Borst, R.; Pamin, J.; Peerlings, R. H. J.; Sluys, L. J.
29
1995
An anisotropic gradient damage model for quasi-brittle materials. Zbl 0992.74060
Kuhl, Ellen; Ramm, Ekkehard; de Borst, René
28
2000
The relevance of conservation for stability and accuracy of numerical methods for fluid-structure interaction. Zbl 1181.74156
Michler, C.; van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R.
27
2003
Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis. Zbl 1060.74620
de Borst, René; Gutiérrez, Miguel A.; Wells, Garth N.; Remmers, Joris J. C.; Askes, Harm
26
2004
Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints. Zbl 1230.74199
Van Der Zee, K. G.; Van Brummelen, E. H.; Akkerman, I.; De Borst, R.
26
2011
A non-linear finite element approach for the analysis of mode-I free edge delamination in composites. Zbl 0775.73292
Schellekens, J. C. J.; de Borst, R.
26
1993
Localisation issues in local and nonlocal continuum approaches to fracture. Zbl 1041.74006
Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; Geers, M. G. D.
25
2002
Gradient-enhanced damage modelling of high-cycle fatigue. Zbl 0995.74056
Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.; Geers, M. G. D.
23
2000
Phase-field modelling of interface failure in brittle materials. Zbl 1440.74048
Hansen-Dörr, Arne Claus; de Borst, René; Hennig, Paul; Kästner, Markus
23
2019
Studies in anisotropic plasticity with reference to the Hill criterion. Zbl 0712.73025
de Borst, René; Feenstra, Peter H.
22
1990
Dispersion analysis and element-free Galerkin solutions of second- and fourth-order gradient-enhanced damage models. Zbl 1009.74082
Askes, Harm; Pamin, Jerzy; de Borst, René
22
2000
A plane stress softening plasticity model for orthotropic materials. Zbl 0897.73015
Lourenço, Paulo B.; de Borst, René; Rots, Jan G.
22
1997
A solid-like shell element allowing for arbitrary delaminations. Zbl 1032.74682
Remmers, Joris J. C.; Wells, Garth N.; de Borst, René
21
2003
A finite-element/boundary-element method for large-displacement fluid-structure interaction. Zbl 1311.76075
van Opstal, T. M.; van Brummelen, E. H.; de Borst, R.; Lewis, M. R.
21
2012
Energy conservation of atomistic/continuum coupling. Zbl 1183.74011
Aubertin, Pascal; Réthoré, Julien; de Borst, René
20
2009
Space/time multigrid for a fluid-structure-interaction problem. Zbl 1148.74046
van Brummelen, E. H.; van der Zee, K. G.; de Borst, R.
20
2008
An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems. Zbl 1352.74366
Irzal, F.; Remmers, J. J. C.; Verhoosel, C. V.; De Borst, R.
18
2014
Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction. Zbl 1352.74405
May, Stefan; Vignollet, Julien; De Borst, René
18
2016
The zero-normal-stress condition in plane-stress and shell elastoplasticity. Zbl 0714.73021
De Borst, René
17
1991
Phenomenological nonlocal approaches based on implicit gradient-enhanced damage. Zbl 0993.74006
Geers, M. G. D.; Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.
16
2000
Conditions for locking-free elasto-plastic analyses in the element-free Galerkin method. Zbl 0962.74076
Askes, Harm; de Borst, René; Heeres, Otto
15
1999
Error-amplification analysis of subiteration-preconditioned GMRES for fluid-structure interaction. Zbl 1176.74217
Michler, C.; Van Brummelen, E. H.; De Borst, R.
15
2006
Goal-oriented error estimation and adaptivity for free-boundary problems: the shape-linearization approach. Zbl 1209.35159
van der Zee, K. G.; van Brummelen, E. H.; De Borst, R.
14
2010
Goal-oriented error estimation and adaptivity for free-boundary problems: the domain-map linearization approach. Zbl 1210.35300
van der Zee, K. G.; van Brummelen, E. H.; De Borst, R.
14
2010
A comparison between the Perzyna viscoplastic model and the consistency viscoplastic model. Zbl 1005.74013
Heeres, Otto M.; Suiker, Akke S. J.; de Borst, René
14
2002
Validation and internal length scale determination for a gradient damage model: Application to short glass-fibre-reinforced polypropylene. Zbl 0963.74502
Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.; Peerlings, R. H. J.
14
1999
A large deformation formulation for fluid flow in a progressively fracturing porous material. Zbl 1352.76113
Irzal, Faisal; Remmers, Joris J. C.; Huyghe, Jacques M.; de Borst, René
13
2013
Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631
Pamin, Jerzy; Askes, Harm; de Borst, René
13
2003
Adaptive refinement of hierarchical T-splines. Zbl 1440.65193
Chen, L.; de Borst, R.
13
2018
Propagation of delamination in composite materials with isogeometric continuum shell elements. Zbl 1352.74174
Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René
12
2015
On the numerical integration of isogeometric interface elements. Zbl 1352.65087
Vignollet, Julien; May, Stefan; de Borst, René
12
2015
A discrete model for the dynamic propagation of shear bands in a fluid-saturated medium. Zbl 1112.74055
Réthoré, Julien; De Borst, René; Abellan, Marie-Angèle
12
2007
Bifurcations in finite element models with a non-associated flow law. Zbl 0626.73118
de Borst, R.
12
1988
An investigation of interface-GMRES(R) for fluid-structure interaction problems with flutter and divergence. Zbl 1398.74086
Michler, Christian; van Brummelen, Harald; de Borst, René
11
2011
Smeared cracking, plasticity, creep, and thermal loading - A unified approach. Zbl 0607.73109
de Borst, R.
11
1987
Numerical assessment of delamination in fibre metal laminates. Zbl 0965.74066
Hashagen, Frank; de Borst, René
11
2000
A new framework in nonlocal mechanics. Zbl 1213.74278
Ganghoffer, J. F.; De Borst, R.
11
2000
Powell-Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials. Zbl 1436.74071
May, Stefan; de Borst, René; Vignollet, Julien
11
2016
The role of the Bézier extraction operator for T-splines of arbitrary degree: linear dependencies, partition of unity property, nesting behaviour and local refinement. Zbl 1352.65041
May, Stefan; Vignollet, Julien; de Borst, René
10
2015
Some observations on embedded discontinuity models. Zbl 0997.74061
de Borst, R.; Wells, G. N.; Sluys, L. J.
10
2001
A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257
Aubertin, Pascal; Réthoré, Julien; de Borst, René
10
2010
Wave propagation and localisation in a softening two-phase medium. Zbl 1118.74013
Abellan, Marie-Angèle; de Borst, René
10
2006
Integration of plasticity equations for singular yield functions. Zbl 0614.73027
de Borst, R.
9
1987
Energy conservation under incompatibility for fluid-structure interaction problems. Zbl 1054.74567
van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R.
9
2003
The partition-of-unity method for linear diffusion and convection problems: Accuracy, stabilization and multiscale interpretation. Zbl 1032.76599
Munts, E. A.; Hulshoff, S. J.; de Borst, R.
9
2003
A composite plasticity model for concrete. Zbl 0900.73455
Feenstra, Peter H.; de Borst, René
9
1996
A \(p\)-adaptive scheme for overcoming volumetric locking during plastic flow. Zbl 1047.74069
Wells, G. N.; Sluys, L. J.; de Borst, R.
9
2002
On the behaviour of rubberlike materials in compression and shear. Zbl 0800.73035
van den Bogert, P. A. J.; de Borst, R.
9
1994
The incorporation of gradient damage models in shell elements. Zbl 1352.74273
Hosseini, Saman; Remmers, Joris J. C.; De Borst, René
8
2014
A numerical model for the cyclic deterioration of railway tracks. Zbl 1062.74601
Suiker, Akke S. J.; de Borst, René
8
2003
A unified approach to the implicit integration of standard, non-standard and viscous plasticity models. Zbl 1019.74004
de Borst, René; Heeres, Otto M.
8
2002
Numerical analysis of localization using a viscoplastic regularization: Influence of stochastic material defects. Zbl 0927.74068
Gutiérrez, M. A.; de Borst, R.
8
1999
A modal-based multiscale method for large eddy simulation. Zbl 1120.76031
Munts, E. A.; Hulshoff, S. J.; de Borst, R.
8
2007
Gradient plasticity in numerical simulation of concrete cracking. Zbl 0858.73069
de Borst, René; Pamin, Jerzy
7
1996
Computational issues in gradient plasticity. Zbl 0900.73852
de Borst, R.; Pamin, J.; Sluys, L. J.
7
1995
Failure in plain and reinforced concrete – an analysis of crack width and crack spacing. Zbl 0900.73611
Sluys, L. J.; de Borst, R.
7
1996
A reappraisal of nonlocal mechanics. Zbl 0932.74062
Ganghoffer, J. F.; Sluys, L. J.; de Borst, R.
7
1999
Enhanced continua and discrete lattices for modelling granular assemblies. Zbl 1152.74307
Suiker, Akke S. J.; de Borst, René
7
2005
Phase-field modelling of cohesive fracture. Zbl 1481.74051
Chen, Lin; de Borst, René
7
2021
Interaction between material length scale and imperfection size for localisation phenomena in viscoplastic media. Zbl 0864.73022
Wang, W. M.; Sluys, L. J.; de Borst, R.
6
1996
Object-oriented stochastic finite element analysis of fibre metal laminates. Zbl 1082.74051
Chung, Doo Bo; Gutiérrez, Miguel A.; de Borst, René
6
2005
Discretization influence in strain-softening problems. Zbl 0824.73080
Sluys, L. J.; Cauvern, M.; de Borst, R.
6
1995
A plasticity model and algorithm for mode-I cracking in concrete. Zbl 0847.73014
Feenstra, Peter H.; De Borst, René
6
1995
A time-based arc-length like method to remove step size effects during fracture propagation. Zbl 1531.74085
Hageman, Tim; de Borst, René
1
2022
Phase-field modelling of cohesive fracture. Zbl 1481.74051
Chen, Lin; de Borst, René
7
2021
The use of Powell-Sabin B-splines in a higher-order phase-field model for crack kinking. Zbl 07360497
Chen, Lin; Li, Bin; de Borst, René
6
2021
A refined two-scale model for newtonian and non-Newtonian fluids in fractured poroelastic media. Zbl 07513814
Hageman, Tim; de Borst, René
4
2021
Sub-grid models for multiphase fluid flow inside fractures in poroelastic media. Zbl 1440.76095
Hageman, Tim; de Borst, René
3
2020
A convergence study of monolithic simulations of flow and deformation in fractured poroelastic media. Zbl 07843202
Hageman, Tim; de Borst, René
1
2020
Phase-field modelling of interface failure in brittle materials. Zbl 1440.74048
Hansen-Dörr, Arne Claus; de Borst, René; Hennig, Paul; Kästner, Markus
23
2019
Energy conservation during remeshing in the analysis of dynamic fracture. Zbl 07859704
Chen, Lin; Li, Bin; de Borst, René
1
2019
Adaptive refinement of hierarchical T-splines. Zbl 1440.65193
Chen, L.; de Borst, R.
13
2018
Discrete fracture analysis using locally refined T-splines. Zbl 07865053
Chen, L.; Verhoosel, C. V.; de Borst, R.
1
2018
Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347
de Borst, René; Verhoosel, Clemens V.
73
2016
Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453
Kästner, Markus; Metsch, Philipp; de Borst, René
29
2016
Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction. Zbl 1352.74405
May, Stefan; Vignollet, Julien; De Borst, René
18
2016
Powell-Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials. Zbl 1436.74071
May, Stefan; de Borst, René; Vignollet, Julien
11
2016
Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone. Zbl 1423.74929
Verhoosel, C. V.; van Zwieten, G. J.; van Rietbergen, B.; de Borst, R.
52
2015
A numerical assessment of phase-field models for brittle and cohesive fracture: \(\Gamma\)-convergence and stress oscillations. Zbl 1406.74599
May, Stefan; Vignollet, Julien; de Borst, René
50
2015
Propagation of delamination in composite materials with isogeometric continuum shell elements. Zbl 1352.74174
Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René
12
2015
On the numerical integration of isogeometric interface elements. Zbl 1352.65087
Vignollet, Julien; May, Stefan; de Borst, René
12
2015
The role of the Bézier extraction operator for T-splines of arbitrary degree: linear dependencies, partition of unity property, nesting behaviour and local refinement. Zbl 1352.65041
May, Stefan; Vignollet, Julien; de Borst, René
10
2015
An isogeometric continuum shell element for non-linear analysis. Zbl 1296.74057
Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René
39
2014
An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems. Zbl 1352.74366
Irzal, F.; Remmers, J. J. C.; Verhoosel, C. V.; De Borst, R.
18
2014
The incorporation of gradient damage models in shell elements. Zbl 1352.74273
Hosseini, Saman; Remmers, Joris J. C.; De Borst, René
8
2014
Nonlinear finite element analysis of solids and structures. Translated from the 2nd English edition by Matthias Delbrück. (Nichtlineare Finite-Elemente-Analyse von Festkörpern und Strukturen.) Zbl 1455.74001
de Borst, René; Crisfield, Mike A.; Remmers, Joris J.; Verhoosel, Clemens V.
1
2014
A phase-field model for cohesive fracture. Zbl 1352.74029
Verhoosel, Clemens V.; De Borst, René
119
2013
An isogeometric solid-like shell element for nonlinear analysis. Zbl 1352.74362
Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; De Borst, René
57
2013
A large deformation formulation for fluid flow in a progressively fracturing porous material. Zbl 1352.76113
Irzal, Faisal; Remmers, Joris J. C.; Huyghe, Jacques M.; de Borst, René
13
2013
Computational methods for generalised continua. Zbl 1279.74044
de Borst, René
1
2013
Nonlinear finite element analysis of solids and structures. 2nd ed. Zbl 1300.74002
de Borst, René; Crisfield, Mike A.; Remmers, Joris J.; Verhoosel, Clemens V.
138
2012
A finite-element/boundary-element method for large-displacement fluid-structure interaction. Zbl 1311.76075
van Opstal, T. M.; van Brummelen, E. H.; de Borst, R.; Lewis, M. R.
21
2012
An isogeometric analysis approach to gradient damage models. Zbl 1235.74320
Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René
80
2011
An isogeometric approach to cohesive zone modeling. Zbl 1242.74169
Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R.
69
2011
Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints. Zbl 1230.74199
Van Der Zee, K. G.; Van Brummelen, E. H.; Akkerman, I.; De Borst, R.
26
2011
An investigation of interface-GMRES(R) for fluid-structure interaction problems with flutter and divergence. Zbl 1398.74086
Michler, Christian; van Brummelen, Harald; de Borst, René
11
2011
Variational Germano approach for multiscale formulations. Zbl 1323.76082
Akkerman, Ido; Hulshoff, Steven J.; van der Zee, Kris G.; de Borst, René
2
2011
Multiscale methods in computational mechanics. Progress and accomplishments. Selected papers based on the presentations at the international colloquium (MMCM 2009), Rolduc, The Netherlands, March 11–13, 2009. Zbl 1202.74012
2
2011
Multiscale modelling of the failure behaviour of fibre-reinforced laminates. Zbl 1323.74071
Cid Alfaro, M. V.; Suiker, A. S. J.; de Borst, R.
1
2011
Computational homogenization for adhesive and cohesive failure in quasi-brittle solids. Zbl 1197.74139
Verhoosel, Clemens V.; Remmers, Joris J. C.; Gutiérrez, Miguel A.; de Borst, René
46
2010
Goal-oriented error estimation and adaptivity for free-boundary problems: the shape-linearization approach. Zbl 1209.35159
van der Zee, K. G.; van Brummelen, E. H.; De Borst, R.
14
2010
Goal-oriented error estimation and adaptivity for free-boundary problems: the domain-map linearization approach. Zbl 1210.35300
van der Zee, K. G.; van Brummelen, E. H.; De Borst, R.
14
2010
A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257
Aubertin, Pascal; Réthoré, Julien; de Borst, René
10
2010
Numerical homogenization of cracking processes in thin fibre-epoxy layers. Zbl 1476.74131
Cid Alfaro, M. V.; Suiker, A. S. J.; Verhoosel, C. V.; de Borst, R.
5
2010
Energy conservation of atomistic/continuum coupling. Zbl 1183.74011
Aubertin, Pascal; Réthoré, Julien; de Borst, René
20
2009
A finite element method for level sets. Zbl 1168.76027
Valance, S.; de Borst, R.; Réthoré, J.; Coret, M.
1
2009
A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks. Zbl 1154.76053
Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle
35
2008
The simulation of dynamic crack propagation using the cohesive segments method. Zbl 1162.74438
Remmers, Joris J. C.; de Borst, René; Needleman, Alan
32
2008
Space/time multigrid for a fluid-structure-interaction problem. Zbl 1148.74046
van Brummelen, E. H.; van der Zee, K. G.; de Borst, R.
20
2008
A partition-of-unity-based finite element method for level sets. Zbl 1195.65134
Valance, Stéphane; de Borst, René; Réthoré, Julien; Coret, Michel
5
2008
Goal-oriented error estimation for Stokes flow interacting with a flexible channel. Zbl 1136.76032
van der Zee, K. G.; van Brummelen, E. H.; de Borst, R.
4
2008
Lecture notes on composite materials. Current topics and achievements. Zbl 1155.74006
4
2008
A precis of two-scale approaches for fracture in porous media. Zbl 1298.74224
de Borst, R.; Rethore, J.; Abellan, M.-A.
1
2008
A method for coupling atoms to continuum mechanics for capturing dynamic crack propagation. Zbl 1151.74033
Aubertin, Pascal; de Borst, René; Réthoré, Julien
1
2008
A two-scale approach for fluid flow in fractured porous media. Zbl 1194.76139
Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle
42
2007
A discrete model for the dynamic propagation of shear bands in a fluid-saturated medium. Zbl 1112.74055
Réthoré, Julien; De Borst, René; Abellan, Marie-Angèle
12
2007
A modal-based multiscale method for large eddy simulation. Zbl 1120.76031
Munts, E. A.; Hulshoff, S. J.; de Borst, R.
8
2007
An evaluation of the accuracy of discontinuous finite elements in explicit dynamic calculations. Zbl 1209.74061
Remmers, Joris J. C.; De Borst, René; Needleman, Alan
1
2007
Conservation under incompatibility for fluid-solid-interaction problems: the NPCL method. Zbl 1209.74074
van Brummelen, E. H.; de Borst, R.
1
2007
Multiscale overlap coupling for hybrid computations. Zbl 1173.76326
Akkerman, Ido; Hulshoff, Steven J.; de Borst, René
1
2007
A numerical approach for arbitrary cracks in a fluid-saturated medium. Zbl 1168.74447
de Borst, René; Réthoré, Julien; Abellan, Marie-Angèle
29
2006
Error-amplification analysis of subiteration-preconditioned GMRES for fluid-structure interaction. Zbl 1176.74217
Michler, C.; Van Brummelen, E. H.; De Borst, R.
15
2006
Wave propagation and localisation in a softening two-phase medium. Zbl 1118.74013
Abellan, Marie-Angèle; de Borst, René
10
2006
Modern domain-based discretization methods for damage and fracture. Zbl 1113.74420
De Borst, René
3
2006
On the nonnormality of subiteration for a fluid-structure-interaction problem. Zbl 1136.65334
van Brummelen, E. H.; de Borst, R.
52
2005
An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033
Michler, C.; van Brummelen, E. H.; de Borst, R.
47
2005
Enhanced continua and discrete lattices for modelling granular assemblies. Zbl 1152.74307
Suiker, Akke S. J.; de Borst, René
7
2005
Object-oriented stochastic finite element analysis of fibre metal laminates. Zbl 1082.74051
Chung, Doo Bo; Gutiérrez, Miguel A.; de Borst, René
6
2005
An anisotropic thermomechanical damage model for concrete at transient elevated temperatures. Zbl 1152.74334
Baker, Graham; de Borst, René
2
2005
Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001
168
2004
A monolithic approach to fluid-structure interaction. Zbl 1053.76042
Michler, C.; Hulshoff, S. J.; van Brummelen, E. H.; de Borst, R.
59
2004
Discrete \(vs\) smeared crack models for concrete fracture: bridging the gap. Zbl 1086.74044
de Borst, René; Remmers, Joris J. C.; Needleman, Alan; Abellan, Marie-Angèle
32
2004
Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis. Zbl 1060.74620
de Borst, René; Gutiérrez, Miguel A.; Wells, Garth N.; Remmers, Joris J. C.; Askes, Harm
26
2004
A cohesive segments method for the simulation of crack growth. Zbl 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
81
2003
An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617
Kuhl, E.; Hulshoff, S.; de Borst, R.
30
2003
The relevance of conservation for stability and accuracy of numerical methods for fluid-structure interaction. Zbl 1181.74156
Michler, C.; van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R.
27
2003
A solid-like shell element allowing for arbitrary delaminations. Zbl 1032.74682
Remmers, Joris J. C.; Wells, Garth N.; de Borst, René
21
2003
Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631
Pamin, Jerzy; Askes, Harm; de Borst, René
13
2003
Energy conservation under incompatibility for fluid-structure interaction problems. Zbl 1054.74567
van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R.
9
2003
The partition-of-unity method for linear diffusion and convection problems: Accuracy, stabilization and multiscale interpretation. Zbl 1032.76599
Munts, E. A.; Hulshoff, S. J.; de Borst, R.
9
2003
A numerical model for the cyclic deterioration of railway tracks. Zbl 1062.74601
Suiker, Akke S. J.; de Borst, René
8
2003
A large-strain discontinuous finite element approach to laminated composites. Zbl 1037.74052
Wells, G. N.; Remmers, J. J. C.; de Borst, R.; Sluys, L. J.
1
2003
A consistent geometrically nonlinear approach for delamination. Zbl 1086.74043
Wells, G. N.; de Borst, R.; Sluys, L. J.
47
2002
Localisation issues in local and nonlocal continuum approaches to fracture. Zbl 1041.74006
Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; Geers, M. G. D.
25
2002
A comparison between the Perzyna viscoplastic model and the consistency viscoplastic model. Zbl 1005.74013
Heeres, Otto M.; Suiker, Akke S. J.; de Borst, René
14
2002
A \(p\)-adaptive scheme for overcoming volumetric locking during plastic flow. Zbl 1047.74069
Wells, G. N.; Sluys, L. J.; de Borst, R.
9
2002
A unified approach to the implicit integration of standard, non-standard and viscous plasticity models. Zbl 1019.74004
de Borst, René; Heeres, Otto M.
8
2002
Instability analysis of vibrations of a uniformly moving mass in one- and two-dimensional elastic systems. Zbl 1005.74031
Kononov, A. V.; de Borst, R.
4
2002
A numerical framework for continuum damage – discontinuum transition. Zbl 1064.74015
de Borst, R.; Abellan, M. A.
1
2002
A critical comparison of nonlocal and gradient-enhanced softening continua. Zbl 1032.74008
Peerlings, R. H. J.; Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.
149
2001
Micro-mechanical modelling of granular material. I: Derivation of a second-gradient micro-polar constitutive theory. II: Plane wave propagation in infinite media. Zbl 1135.74307
Suiker, A. S. J.; de Borst, R.; Chang, C. S.
37
2001
Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models. Zbl 0984.74034
Suiker, A. S. J.; Metrikine, A. V.; de Borst, R.
30
2001
Some observations on embedded discontinuity models. Zbl 0997.74061
de Borst, R.; Wells, G. N.; Sluys, L. J.
10
2001
Implicit integration of a generalized plasticity constitutive model for partially saturated soil. Zbl 1015.74080
Zhang, H. W.; Heeres, O. M.; de Borst, R.; Schrefler, B. A.
5
2001
A numerical model for the time-dependent cracking of cementitious materials. Zbl 1055.74043
van Zijl, G. P. A. G.; de Borst, R.; Rots, J. G.
5
2001
The role of crack rate dependence in the long-term behaviour of cementitious materials. Zbl 1046.74045
van Zijl, G. P. A. G.; de Borst, R.; Rots, J. G.
2
2001
Mathematical and numerical aspects of an elasticity-based local approach to fracture. Zbl 1014.74060
Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.; Geers, M. G. D.
1
2001
An anisotropic gradient damage model for quasi-brittle materials. Zbl 0992.74060
Kuhl, Ellen; Ramm, Ekkehard; de Borst, René
28
2000
Gradient-enhanced damage modelling of high-cycle fatigue. Zbl 0995.74056
Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.; Geers, M. G. D.
23
2000
Dispersion analysis and element-free Galerkin solutions of second- and fourth-order gradient-enhanced damage models. Zbl 1009.74082
Askes, Harm; Pamin, Jerzy; de Borst, René
22
2000
Phenomenological nonlocal approaches based on implicit gradient-enhanced damage. Zbl 0993.74006
Geers, M. G. D.; Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.
16
2000
Numerical assessment of delamination in fibre metal laminates. Zbl 0965.74066
Hashagen, Frank; de Borst, René
11
2000
A new framework in nonlocal mechanics. Zbl 1213.74278
Ganghoffer, J. F.; De Borst, R.
11
2000
...and 55 more Documents
all top 5

Cited by 3,685 Authors

89 de Borst, René
44 Tezduyar, Tayfun E.
40 Sluys, Lambertus Johannes
37 Takizawa, Kenji
36 Bazilevs, Yuri
33 Rabczuk, Timon
32 Van Brummelen, Harald
31 Verhoosel, Clemens V.
29 Steinmann, Paul
28 Hughes, Thomas J. R.
24 Wick, Thomas
20 Askes, Harm
19 Miehe, Christian
19 Sun, WaiChing
19 Waisman, Haim
19 Zhang, Hongwu
18 de Lorenzis, Laura
18 Reali, Alessandro
17 Aldakheel, Fadi
17 Combescure, Alain
17 Hsu, Ming-Chen
17 Schillinger, Dominik
17 Scott, Michael A.
16 Geers, Marc G. D.
16 Scovazzi, Guglielmo
15 Kiendl, Josef
15 Remmers, Joris J. C.
14 Areias, Pedro M. A.
14 Calo, Victor Manuel
14 Wriggers, Peter
14 Wu, Jianying
13 Forest, Samuel
13 Khoei, Amir R.
13 Menzel, Andreas M.
13 Nguyen, Vinh Phu
13 Paggi, Marco
13 Simone, Angelo
13 Zhuang, Xiaoying
12 Bui, Tinh Quoc
12 Chen, Lin
12 Peerlings, Ron H. J.
11 Ambati, Marreddy
11 Bordas, Stéphane Pierre Alain
11 Reinoso, Jose
11 Réthoré, Julien
11 Zheng, Yonggang
10 Fish, Jacob
10 Gravouil, Anthony
10 Kaliske, Michael
10 Kästner, Markus
10 Kuhl, Ellen
10 Mosler, Jörn
10 Wells, Garth N.
9 Belytschko, Ted Bohdan
9 Cervera, Miguel
9 Hesch, Christian
9 Song, Chongmin
9 Wheeler, Mary Fanett
9 Zhang, Yongjie Jessica
9 Zhou, Kun
8 Bouclier, Robin
8 Chiumenti, Michele
8 Degroote, Joris
8 Dias-da-Costa, Daniel
8 Düster, Alexander
8 Fagerström, Martin
8 François, Stijn
8 Gutiérrez, Miguel A.
8 Hageman, Tim
8 Klinkel, Sven
8 Larsson, Ragnar
8 Meschke, Günther
8 Mohamed, M. Shadi
8 Natarajan, Sundararajan
8 Noels, Ludovic
8 Oñate Ibáñez de Navarra, Eugenio
8 Pardo, David
8 Ramm, Ekkehard
8 Rodríguez-Ferran, Antonio
8 Wall, Wolfgang A.
8 Weinberg, Kerstin
8 Yan, Jinhui
8 Zheng, Hong
7 Benvenuti, Elena
7 Bijl, Hester
7 Elguedj, Thomas
7 Evans, John A.
7 Garikipati, Krishna
7 Gravemeier, Volker
7 Guo, Yujie
7 Huerta, Antonio
7 Jaiman, Rajeev Kumar
7 Kostov, Nikolay A.
7 Li, Weidong
7 Li, Xikui
7 Lloberas-Valls, Oriol
7 Marigo, Jean-Jacques
7 Marotti de Sciarra, Francesco
7 Niordson, Christian F.
7 Poh, Leong Hien
...and 3,585 more Authors
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Cited in 119 Serials

729 Computer Methods in Applied Mechanics and Engineering
330 International Journal for Numerical Methods in Engineering
226 Computational Mechanics
83 European Journal of Mechanics. A. Solids
80 Journal of Computational Physics
49 Journal of the Mechanics and Physics of Solids
47 Acta Mechanica
43 International Journal of Solids and Structures
43 Engineering Analysis with Boundary Elements
37 Computers and Fluids
33 Computers & Mathematics with Applications
32 Applied Mathematical Modelling
25 International Journal of Engineering Science
24 Mathematics and Mechanics of Solids
22 Continuum Mechanics and Thermodynamics
20 Communications in Numerical Methods in Engineering
18 International Journal for Numerical and Analytical Methods in Geomechanics
16 Engineering Computations
15 Meccanica
15 Archives of Computational Methods in Engineering
15 International Journal of Fracture
14 International Journal of Plasticity
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
13 International Journal for Numerical Methods in Fluids
13 Journal of Computational and Applied Mathematics
13 Journal of Elasticity
12 International Journal of Computational Methods
9 Archive of Applied Mechanics
8 Communications in Nonlinear Science and Numerical Simulation
8 Computational Geosciences
7 Mathematics and Computers in Simulation
7 Applied Numerical Mathematics
7 International Journal of Structural Stability and Dynamics
6 Computer Physics Communications
6 GAMM-Mitteilungen
6 International Journal for Numerical Methods in Biomedical Engineering
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Applied Mathematics and Mechanics. (English Edition)
5 Numerical Methods for Partial Differential Equations
4 Archives of Mechanics
4 Journal of Scientific Computing
4 SIAM Journal on Scientific Computing
4 Multibody System Dynamics
4 Mathematics and Mechanics of Complex Systems
3 Archive for Rational Mechanics and Analysis
3 Journal of Engineering Mathematics
3 Journal of Mathematical Analysis and Applications
3 Wave Motion
3 Applied Mathematics and Computation
3 Computer Aided Geometric Design
3 Mathematical and Computer Modelling
3 Mathematical Problems in Engineering
3 Nonlinear Dynamics
3 Structural and Multidisciplinary Optimization
3 Granular Matter
3 Communications in Computational Physics
3 International Journal of Engineering Mathematics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Fluid Mechanics
2 Mathematics of Computation
2 Computational and Applied Mathematics
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 European Journal of Mechanics. B. Fluids
2 Matematicheskoe Modelirovanie
2 Computational Methods in Applied Mathematics
2 Multiscale Modeling & Simulation
2 Advances in Difference Equations
2 International Journal of Numerical Analysis and Modeling
2 Acta Mechanica Sinica
2 GEM - International Journal on Geomathematics
2 ISRN Applied Mathematics
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applicable Analysis
1 Journal of Applied Mathematics and Mechanics
1 Mathematical Methods in the Applied Sciences
1 Reports on Mathematical Physics
1 Journal of Differential Equations
1 Mechanics Research Communications
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Numerical Analysis
1 Physica D
1 Finite Elements in Analysis and Design
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Computational Mathematics and Mathematical Physics
1 Computational Statistics and Data Analysis
1 Advances in Engineering Software
1 Numerical Linear Algebra with Applications
1 Fractals
1 Advances in Computational Mathematics
1 Journal of Vibration and Control
1 International Journal of Computational Fluid Dynamics
1 Abstract and Applied Analysis
1 Journal of Applied Mechanics and Technical Physics
1 Journal of Shanghai University
1 Journal of Mathematical Fluid Mechanics
1 Optimization and Engineering
1 Nonlinear Analysis. Real World Applications
...and 19 more Serials
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Cited in 36 Fields

1,943 Mechanics of deformable solids (74-XX)
700 Numerical analysis (65-XX)
389 Fluid mechanics (76-XX)
100 Partial differential equations (35-XX)
56 Biology and other natural sciences (92-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
19 Classical thermodynamics, heat transfer (80-XX)
19 Statistical mechanics, structure of matter (82-XX)
16 Computer science (68-XX)
16 Geophysics (86-XX)
15 Mechanics of particles and systems (70-XX)
14 Approximations and expansions (41-XX)
12 Optics, electromagnetic theory (78-XX)
7 Operations research, mathematical programming (90-XX)
5 Real functions (26-XX)
5 Dynamical systems and ergodic theory (37-XX)
3 Operator theory (47-XX)
3 Statistics (62-XX)
3 Systems theory; control (93-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Ordinary differential equations (34-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Combinatorics (05-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Probability theory and stochastic processes (60-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)

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