Edit Profile (opens in new tab) Steinmann, Paul Compute Distance To: Compute Author ID: steinmann.paul Published as: Steinmann, Paul; Steinmann, P. Homepage: https://www.ltm.tf.fau.de/person/prof-dr-ing-habil-paul-steinmann/ External Links: MGP · ORCID · dblp · GND Documents Indexed: 265 Publications since 1991, including 1 Book 6 Contributions as Editor Co-Authors: 160 Co-Authors with 250 Joint Publications 2,201 Co-Co-Authors all top 5 Co-Authors 19 single-authored 36 Kuhl, Ellen 31 Menzel, Andreas M. 25 Mergheim, Julia 23 Javili, Ali 17 Betsch, Peter 12 Stein, Erwin 11 Denzer, Ralf 11 McBride, Andrew T. 9 Hossain, Mokarram 8 Pivovarov, Dmytro 8 Vu Duc Khoi 7 Bargmann, Swantje 7 Possart, Gunnar 6 Davydov, Denis 6 Hriberšek, Matjaž 6 Leugering, Günter 6 Leyendecker, Sigrid 6 Liebe, Tina 6 Ravnik, Jure 6 Runesson, Kenneth 6 Willner, Kai 5 Askes, Harm 5 Barth, Franz Josef 5 Miehe, Christian 5 Pelteret, Jean-Paul 5 Utzinger, Johannes 4 Chatzigeorgiou, George 4 Fischer, Paul 4 Friederich, Jan 4 Himpel, Grieta 4 Jäger, Philippe 4 Mehnert, Marküs 4 Wang, Jiong 3 Benallal, Ahmed 3 Budday, Silvia 3 Carol, Ignacio 3 Cui, Yan 3 Ekh, Magnus 3 Fillep, Sebastian 3 Firooz, Soheil 3 Kaessmair, S. 3 Kergaßner, Andreas 3 Kumar, Ajeet 3 Landkammer, Philipp 3 Mohr, Rouven 3 Pfaller, Sebastian 3 Prechtel, Marina 3 Ricker, Sarah 3 Riehl, Stefan 3 Sanavia, Lorenzo 3 Schrefler, Bernhard A. 3 Stingl, Michael 3 Willam, Kaspar J. 2 Abdi, Tadesse 2 Ackermann, David 2 Bobach, Tom 2 Böhm, Michael C. 2 Brands, Benjamin 2 Caspari, Michael 2 Chester, Shawn A. 2 Constantiniu, Alexandru 2 Esmaeili, Ali 2 Etse, Guillermo 2 Faber, Jessica 2 Gerstner, Maximilian 2 Herrnböck, Ludwig 2 Kirchner, Nina P. 2 Larsson, Ragnar 2 Mahnken, Rolf 2 Meier, H. A. 2 Müller-Plathe, Florian 2 Muller, Ralf 2 Rajagopal, Amirtham 2 Reddy, B. Dayanand 2 Saeb, Saba 2 Saxena, Prashant 2 Schmitt, Patrick R. 2 Štrakl, Mitja 2 Sunyk, Rudolf 2 Umlauf, Georg 2 Vogel, Franziska 2 Wedel, Jana 2 Zabihyan, Reza 1 Aifantis, Elias C. 1 Armero, Francisco 1 Arora, Abhishek 1 Auricchio, Ferdinando 1 Aurich, Jan C. 1 Bare, Zoufine 1 Bazant, Zdenek Pavel 1 Brink, Ulrich 1 Budday, Dominik 1 Burkhardt, Christian 1 Bustamante, Roger 1 Carstensen, Carsten 1 Comellas, Ester 1 Dai, Hui-Hui 1 De Klerk, David N. 1 dell’Isola, Francesco 1 Dev, Chaitanya ...and 60 more Co-Authors all top 5 Serials 46 Computational Mechanics 41 Computer Methods in Applied Mechanics and Engineering 21 International Journal for Numerical Methods in Engineering 18 International Journal of Solids and Structures 15 PAMM. Proceedings in Applied Mathematics and Mechanics 14 Mathematics and Mechanics of Solids 9 Journal of the Mechanics and Physics of Solids 9 European Journal of Mechanics. A. Solids 8 Archive of Applied Mechanics 7 International Journal of Engineering Science 6 International Journal of Fracture 6 GAMM-Mitteilungen 5 Continuum Mechanics and Thermodynamics 4 Acta Mechanica 4 Communications in Numerical Methods in Engineering 3 International Journal of Plasticity 3 Journal of Computational Physics 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Revue Européenne des Éléments Finis 2 Computers & Mathematics with Applications 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Journal of Elasticity 2 Engineering Analysis with Boundary Elements 2 Multibody System Dynamics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 CMES. Computer Modeling in Engineering & Sciences 1 Computers and Fluids 1 Physics Letters. A 1 Control and Cybernetics 1 Journal of Optimization Theory and Applications 1 Meccanica 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Engineering Computations 1 Communications on Pure and Applied Analysis 1 Advances in Mechanics and Mathematics 1 Mathematics and Mechanics of Complex Systems 1 Lecture Notes in Applied Mathematics and Mechanics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 246 Mechanics of deformable solids (74-XX) 31 Numerical analysis (65-XX) 14 Mechanics of particles and systems (70-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Fluid mechanics (76-XX) 9 Biology and other natural sciences (92-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 5 Partial differential equations (35-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 213 Publications have been cited 2,600 times in 1,460 Documents Cited by ▼ Year ▼ Geometrically nonlinear higher-gradient elasticity with energetic boundaries. Zbl 1294.74014Javili, A.; dell’Isola, F.; Steinmann, P. 66 2013 Numerical modelling of nonlinear electroelasticity. Zbl 1194.74075Vu, D. K.; Steinmann, P.; Possart, G. 60 2007 Frame-indifferent beam finite elements based upon the geometrically exact beam theory. Zbl 1053.74041Betsch, P.; Steinmann, P. 59 2002 Application of material forces to hyperelastostatic fracture mechanics. I: Continuum mechanical setting. Zbl 0992.74008Steinmann, Paul 58 2000 Conservation properties of a time FE method. II: Time-stepping schemes for non-linear elastodynamics. Zbl 1134.74402Betsch, P.; Steinmann, P. 57 2001 Views on multiplicative elastoplasticity and the continuum theory of dislocations. Zbl 0905.73060Steinmann, P. 53 1996 Application of material forces to hyperelastostatic fracture mechanics. II: Computational setting. Zbl 1066.74508Steinmann, P.; Ackermann, D.; Barth, F. J. 53 2001 A finite element method for the computational modelling of cohesive cracks. Zbl 1118.74349Mergheim, J.; Kuhl, E.; Steinmann, P. 52 2005 On the continuum formulation of higher-gradient plasticity for single and polycrystals. Zbl 0999.74029Menzel, A.; Steinmann, P. 52 2000 A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity. Zbl 0945.74523Steinmann, Paul 46 1994 Isogeometric analysis of 2D gradient elasticity. Zbl 1398.74329Fischer, Paul; Klassen, Markus; Mergheim, Julia; Steinmann, Paul; Müller, Ralf 46 2011 On boundary potential energies in deformational and configurational mechanics. Zbl 1149.74006Steinmann, Paul 45 2008 Inherently energy conserving time finite elements for classical mechanics. Zbl 0966.70003Betsch, P.; Steinmann, P. 41 2000 Theoretical and computational aspects of a thermodynamically consistent framework for geometrically linear gradient damage. Zbl 0991.74010Liebe, T.; Steinmann, P.; Benallal, A. 39 2001 Conservation properties of a time FE method. I: Time-stepping schemes for \(N\)-body problems. Zbl 0964.70002Betsch, P.; Steinmann, P. 38 2000 On higher gradients in continuum-atomistic modelling. Zbl 1137.74311Sunyk, R.; Steinmann, P. 36 2003 On the numerical treatment and analysis of finite deformation ductile single crystal plasticity. Zbl 0860.73020Steinmann, Paul; Stein, Erwin 34 1996 Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity. Zbl 1065.74516Liebe, Tina; Steinmann, Paul 32 2001 A hybrid discontinuous Galerkin/interface method for the computational modelling of failure. Zbl 1302.74166Mergheim, J.; Kuhl, E.; Steinmann, P. 32 2004 Conservation properties of a time FE method. III: Mechanical systems with holonomic constraints. Zbl 1134.70300Betsch, P.; Steinmann, P. 31 2002 A finite element framework for continua with boundary energies. I: The two-dimensional case. Zbl 1227.74075Javili, A.; Steinmann, P. 31 2009 A finite element framework for continua with boundary energies. II: The three-dimensional case. Zbl 1227.74074Javili, A.; Steinmann, P. 30 2010 Conservation properties of a time FE method. IV: Higher order energy and momentum conserving schemes. Zbl 1134.74406Groß, M.; Betsch, P.; Steinmann, P. 29 2005 An ALE formulation based on spatial and material settings of continuum mechanics. I: Generic hyperelastic formulation. Zbl 1068.74078Kuhl, Ellen; Askes, Harm; Steinmann, Paul 29 2004 Formulation and computation of geometrically nonlinear gradient damage. Zbl 0978.74006Steinmann, Paul 28 1999 Nonlinear electro- and magneto-elastostatics: material and spatial settings. Zbl 1167.74410Vu, D. K.; Steinmann, P. 27 2007 Constrained integration of rigid body dynamics. Zbl 1004.70005Betsch, P.; Steinmann, P. 27 2001 Constrained dynamics of geometrically exact beams. Zbl 1038.74580Betsch, P.; Steinmann, P. 27 2003 Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials. Zbl 0816.73021Steinmann, P.; Miehe, C.; Stein, Erwin 27 1994 On spatial and material settings of hyperelastostatic crystal defects. Zbl 1041.74018Steinmann, Paul 24 2002 Computational modelling of isotropic multiplicative growth. Zbl 1188.74059Himpel, G.; Kuhl, E.; Menzel, A.; Steinmann, P. 24 2005 On spatial and material settings of thermo-hyperelastodynamics. Zbl 1026.74011Steinmann, Paul 24 2002 Computational modeling of growth. A critical review, a classification of concepts and two new consistent approaches. Zbl 1151.74385Kuhl, E.; Menzel, A.; Steinmann, P. 23 2003 A theoretical and computational framework for anisotropic continuum damage mechanics at large strains. Zbl 1045.74006Menzel, A.; Steinmann, P. 23 2001 An ALE formulation based on spatial and material settings of continuum mechanics. II: Classification and applications. Zbl 1149.74392Askes, Harm; Kuhl, Ellen; Steinmann, Paul 23 2004 Studies in elastic fracture mechanics based on the material force method. Zbl 1032.74702Denzer, Ralf; Barth, Franz Josef; Steinmann, Paul 22 2003 On the localization properties of multiplicative hyperelasto-plastic continua with strong discontinuities. Zbl 0947.74508Steinmann, P.; Larsson, R.; Runesson, K. 22 1997 Two-scale computational homogenization of electro-elasticity at finite strains. Zbl 1423.74788Keip, Marc-André; Steinmann, Paul; Schröder, Jörg 22 2014 A framework for multiplicative elastoplasticity with kinematic hardening coupled to anisotropic damage. Zbl 1089.74014Menzel, A.; Ekh, M.; Runesson, K.; Steinmann, P. 20 2005 Numerical modelling of thermomechanical solids with highly conductive energetic interfaces. Zbl 1352.74096Javili, A.; Mcbride, A.; Steinmann, P. 20 2013 A 2-D coupled BEM-FEM simulation of electro-elastostatics at large strain. Zbl 1227.74104Vu, D. K.; Steinmann, P. 20 2010 On 3-D coupled BEM-FEM simulation of nonlinear electro-elastostatics. Zbl 1239.74096Vu, D. K.; Steinmann, Paul 20 2012 Theory and numerics of geometrically non-linear gradient plasticity. Zbl 1211.74042Liebe, Tina; Menzel, Andreas; Steinmann, Paul 20 2003 General imperfect interfaces. Zbl 1296.74115Javili, Ali; Kaessmair, S.; Steinmann, Paul 19 2014 On thermomechanical solids with boundary structures. Zbl 1203.74031Javili, A.; Steinmann, P. 18 2010 The discrete null space method for the energy-consistent integration of constrained mechanical systems. III: Flexible multibody dynamics. Zbl 1200.70003Leyendecker, Sigrid; Betsch, Peter; Steinmann, Paul 18 2008 A geometrically nonlinear FE approach for the simulation of strong and weak discontinuities. Zbl 1126.74050Mergheim, Julia; Steinmann, Paul 18 2006 On the \(C^1\) continuous discretization of nonlinear gradient elasticity: a comparison of NEM and FEM based on Bernstein-Bézier patches. Zbl 1188.74055Fischer, P.; Mergheim, J.; Steinmann, P. 18 2010 On the spatial formulation of anisotropic multiplicative elasto-plasticity. Zbl 1054.74533Menzel, A.; Steinmann, P. 18 2003 Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar’s data. Zbl 1293.74027Steinmann, Paul; Hossain, Mokarram; Possart, Gunnar 18 2012 A formulation for an unsaturated porous medium undergoing large inelastic strains. Zbl 1146.74319Sanavia, L.; Schrefler, B. A.; Steinmann, P. 17 2002 Towards the algorithmic treatment of 3D strong discontinuities. Zbl 1107.74045Mergheim, J.; Kuhl, E.; Steinmann, P. 17 2007 On material interfaces in thermomechanical solids. Zbl 1097.74006Steinmann, P.; Häsner, O. 17 2005 Modeling three-dimensional crack propagation — a comparison of crack path tracking strategies. Zbl 1195.74149Jäger, P.; Steinmann, P.; Kuhl, E. 17 2008 A unifying treatise of variational principles for two types of micropolar continua. Zbl 0878.73004Steinmann, P.; Stein, Erwin 16 1997 Objective energy-momentum conserving integration for the constrained dynamics of geometrically exact beams. Zbl 1142.74045Leyendecker, S.; Betsch, P.; Steinmann, P. 16 2006 Theoretical and computational aspects of non-classical thermoelasticity. Zbl 1120.74441Bargmann, S.; Steinmann, P. 16 2006 Geometrical foundations of continuum mechanics. An application to first- and second-order elasticity and elasto-plasticity. Zbl 1329.74003Steinmann, Paul 15 2015 Application of the material force method to isotropic continuum damage. Zbl 1090.74513Liebe, T.; Denzer, R.; Steinmann, P. 15 2003 Micropolar elastoplasticity and its role in localization. Zbl 0794.73004Dietsche, Andreas; Steinmann, Paul; Willam, Kaspar 15 1993 A DAE approach to flexible multibody dynamics. Zbl 1043.70003Betsch, P.; Steinmann, P. 15 2002 On spatial and material settings of hyperelastodynamics. Zbl 1027.74005Steinmann, P. 15 2002 Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul 15 2014 On the propagation of second-sound in linear and nonlinear media: results from Green-Naghdi theory. Zbl 1221.80004Bargmann, S.; Steinmann, P.; Jordan, P. M. 15 2008 A finite strain framework for the simulation of polymer curing. I: Elasticity. Zbl 1171.74006Hossain, M.; Possart, G.; Steinmann, P. 14 2009 On the comparison of two approaches to compute material forces for inelastic materials. Application to single-slip crystal-plasticity. Zbl 1112.74531Menzel, A.; Denzer, R.; Steinmann, P. 14 2004 A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology. Zbl 1311.74091Javili, A.; McBride, A.; Steinmann, P.; Reddy, B. D. 14 2014 Computational nonlinear electro-elasticity – getting started. Zbl 1213.74139Steinmann, P. 14 2011 Natural element analysis of the Cahn-Hilliard phase-field model. Zbl 1398.74059Rajagopal, Amirtham; Fischer, Paul; Kuhl, Ellen; Steinmann, Paul 13 2010 On the comparison of two strategies to formulate orthotropic hyperelasticity. Zbl 0992.74015Menzel, A.; Steinmann, P. 13 2001 A small-strain model to simulate the curing of thermosets. Zbl 1162.74329Hossain, M.; Possart, G.; Steinmann, P. 13 2009 Mass- and volume-specific views on thermodynamics for open systems. Zbl 1092.80500Kuhl, Ellen; Steinmann, Paul 13 2003 The role of mechanics during brain development. Zbl 1328.74061Budday, Silvia; Steinmann, Paul; Kuhl, Ellen 13 2014 Time-dependent fibre reorientation of transversely isotropic continua - finite element formulation and consistent linearization. Zbl 1169.74043Himpel, G.; Menzel, A.; Kuhl, E.; Steinmann, P. 12 2008 Theory and numerics of geometrically nonlinear open system mechanics. Zbl 1032.74504Kuhl, E.; Steinmann, P. 12 2003 Classical results for a non-classical theory: Remarks on thermodynamic relations in Green-Naghdi thermo-hyperelasticity. Zbl 1160.74345Bargmann, Swantje; Steinmann, Paul 12 2007 Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion. Zbl 1270.74058McBride, A. T.; Javili, A.; Steinmann, P.; Bargmann, S. 12 2011 A framework for geometrically nonlinear continuum damage mechanics. Zbl 1210.74015Steinmann, Paul; Carol, Ignacio 12 1998 Modeling and simulation of viscous electro-active polymers. Zbl 1406.74226Vogel, Franziska; Göktepe, Serdar; Steinmann, Paul; Kuhl, Ellen 12 2014 Modeling and simulation of first and second sound in solids. Zbl 1168.74371Bargmann, S.; Steinmann, P. 11 2008 On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation. Zbl 1173.74312Hirschberger, C. Britta; Kuhl, Ellen; Steinmann, Paul 11 2007 Geometrically non linear anisotropic inelasticity based on fictitious configurations: Application to the coupling of continuum damage and multiplicative elasto-plasticity. Zbl 1038.74512Menzel, A.; Steinmann, P. 11 2003 Finite element approaches to non-classical heat conduction in solids. Zbl 1232.80004Bargmann, S.; Steinmann, P. 11 2005 Theory and numerics of ductile micropolar elastoplastic damage. Zbl 0861.73058Steinmann, Paul 11 1995 Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties. Zbl 1381.74179Pivovarov, Dmytro; Steinmann, Paul 11 2016 Simulation of fracture in heterogeneous elastic materials with cohesive zone models. Zbl 1283.74073Prechtel, M.; Ronda, P. Leiva; Janisch, R.; Hartmaier, A.; Leugering, G.; Steinmann, P.; Stingl, M. 11 2011 A fictitious energy approach for shape optimization. Zbl 1188.74045Scherer, M.; Denzer, R.; Steinmann, P. 10 2010 A numerical study of different projection-based model reduction techniques applied to computational homogenisation. Zbl 1386.74142Soldner, Dominic; Brands, Benjamin; Zabihyan, Reza; Steinmann, Paul; Mergheim, Julia 10 2017 Secret and joy of configurational mechanics: from foundations in continuum mechanics to applications in computational mechanics. Zbl 1168.74012Steinmann, Paul; Scherer, Michael; Denzer, Ralf 9 2009 Generalized parameter identification for finite viscoelasticity. Zbl 1173.74321Kleuter, Bernd; Menzel, Andreas; Steinmann, Paul 9 2007 On spatial and material settings of thermo-hyperelastodynamics for open systems. Zbl 1064.74007Kuhl, E.; Steinmann, P. 9 2003 Material forces in open system mechanics. Zbl 1067.74506Kuhl, Ellen; Steinmann, Paul 9 2004 On configurational forces in multiplicative elastoplasticity. Zbl 1120.74015Menzel, A.; Steinmann, P. 9 2007 A view on anisotropic finite hyperelasticity. Zbl 1026.74013Menzel, A.; Steinmann, P. 9 2003 A finite element framework for continua with boundary energies. III: The thermomechanical case. Zbl 1228.74082Javili, A.; Steinmann, P. 9 2011 On nonlinear thermo-electro-elasticity. Zbl 1371.82161Mehnert, Marküs; Hossain, Mokarram; Steinmann, Paul 9 2016 Material and spatial motion problems in nonlinear electro- and magneto-elastostatics. Zbl 1257.74053Vu, D. K.; Steinmann, P. 9 2010 Anisotropic damage with the MCR effect coupled to plasticity. Zbl 1211.74019Ekh, M.; Menzel, A.; Runesson, K.; Steinmann, P. 9 2003 A finite strain framework for the simulation of polymer curing. II: Viscoelasticity and shrinkage. Zbl 1398.74040Hossain, M.; Possart, G.; Steinmann, P. 8 2010 Energy-conserving integration of constrained Hamiltonian systems – a comparison of approaches. Zbl 1067.70003Leyendecker, S.; Betsch, P.; Steinmann, P. 8 2004 On mesh refinement procedures for the virtual element method for two-dimensional elastic problems. Zbl 07526137van Huyssteen, Daniel; Rivarola, Felipe Lopez; Etse, Guillermo; Steinmann, Paul 1 2022 Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants. Zbl 1490.74066Herrnböck, Ludwig; Kumar, Ajeet; Steinmann, Paul 2 2021 Towards elasto-plastic continuum-kinematics-inspired peridynamics. Zbl 07414325Javili, A.; McBride, A. T.; Mergheim, J.; Steinmann, P. 2 2021 Can CFD establish a connection to a milder COVID-19 disease in younger people? Aerosol deposition in lungs of different age groups based on Lagrangian particle tracking in turbulent flow. Zbl 1469.76136Wedel, Jana; Steinmann, Paul; Štrakl, Mitja; Hriberšek, Matjaž; Ravnik, Jure 2 2021 The computational framework for continuum-kinematics-inspired peridynamics. Zbl 1465.74016Javili, A.; Firooz, S.; McBride, A. T.; Steinmann, P. 4 2020 Modelling the flexoelectric effect in solids: a micromorphic approach. Zbl 07337961McBride, A. T.; Davydov, D.; Steinmann, P. 4 2020 Memory-based meso-scale modeling of Covid-19. County-resolved timelines in Germany. Zbl 1465.92059Kergaßner, Andreas; Burkhardt, Christian; Lippold, Dorothee; Kergaßner, Matthias; Pflug, Lukas; Budday, Dominik; Steinmann, Paul; Budday, Silvia 2 2020 Acceleration of the spectral stochastic FEM using POD and element based discrete empirical approximation for a micromechanical model of heterogeneous materials with random geometry. Zbl 1441.74270Pivovarov, Dmytro; Steinmann, Paul; Willner, Kai 1 2020 A novel two-way coupling model for Euler-Lagrange simulations of multiphase flow. Zbl 1464.76113Verhnjak, Ozbej; Hriberšek, Matjaz; Steinmann, Paul; Ravnik, Jure 1 2020 Modeling the porous and viscous responses of human brain tissue behavior. Zbl 07413148Comellas, Ester; Budday, Silvia; Pelteret, Jean-Paul; Holzapfel, Gerhard A.; Steinmann, Paul 1 2020 Towards a unified shear-induced lift model for prolate spheroidal particles moving in arbitrary non-uniform flow. Zbl 07132270Cui, Yan; Ravnik, Jure; Hriberšek, Matjaž; Steinmann, Paul 1 2020 A computational approach to obtain nonlinearly elastic constitutive relations of special Cosserat rods. Zbl 1441.74034Arora, Abhishek; Kumar, Ajeet; Steinmann, Paul 4 2019 On spectral fuzzy-stochastic FEM for problems involving polymorphic geometrical uncertainties. Zbl 1441.74271Pivovarov, Dmytro; Willner, Kai; Steinmann, Paul 4 2019 A thermoelastoplastic theory for special Cosserat rods. Zbl 1458.74089Smriti; Kumar, Ajeet; Großmann, Alexander; Steinmann, Paul 4 2019 Continuum-kinematics-inspired peridynamics. Mechanical problems. Zbl 1479.74007Javili, A.; McBride, A. T.; Steinmann, P. 3 2019 On periodic boundary conditions and ergodicity in computational homogenization of heterogeneous materials with random microstructure. Zbl 1442.74191Pivovarov, Dmytro; Zabihyan, Reza; Mergheim, Julia; Willner, Kai; Steinmann, Paul 3 2019 Systematic study of homogenization and the utility of circular simplified representative volume element. Zbl 07273348Firooz, Soheil; Saeb, Saba; Chatzigeorgiou, George; Meraghni, Fodil; Steinmann, Paul; Javili, Ali 2 2019 On effective behavior of microstructures embedding general interfaces with damage. Zbl 1462.74135Saeb, S.; Steinmann, P.; Javili, A. 2 2019 Fuzzy dynamics of multibody systems with polymorphic uncertainty in the material microstructure. Zbl 1468.74069Pivovarov, Dmytro; Hahn, Verena; Steinmann, Paul; Willner, Kai; Leyendecker, Sigrid 2 2019 Editorial: Simulation for additive manufacturing. Zbl 07260060 1 2019 Two reduction methods for stochastic FEM based homogenization using global basis functions. Zbl 1440.74436Pivovarov, Dmytro; Steinmann, Paul; Willner, Kai 3 2018 Surface plasticity: theory and computation. Zbl 1459.74027Esmaeili, A.; Steinmann, P.; Javili, A. 2 2018 Improvements on a non-invasive, parameter-free approach to inverse form finding. Zbl 1446.74191Landkammer, P.; Caspari, M.; Steinmann, P. 1 2018 A numerical study of different projection-based model reduction techniques applied to computational homogenisation. Zbl 1386.74142Soldner, Dominic; Brands, Benjamin; Zabihyan, Reza; Steinmann, Paul; Mergheim, Julia 10 2017 Micro-to-macro transition accounting for general imperfect interfaces. Zbl 1439.74333Javili, Ali; Steinmann, Paul; Mosler, Jörn 8 2017 A novel spectral formulation for transversely isotropic magneto-elasticity. Zbl 1371.74101Shariff, M. H. B. M.; Bustamante, Roger; Hossain, Mokarram; Steinmann, Paul 7 2017 Highly-conductive energetic coherent interfaces subject to in-plane degradation. Zbl 1391.74015Esmaeili, Ali; Javili, Ali; Steinmann, Paul 5 2017 Towards an efficient two-scale approach to model technical textiles. Zbl 1398.74328Fillep, Sebastian; Mergheim, Julia; Steinmann, Paul 3 2017 Numerical homogenization of elastic and thermal material properties for metal matrix composites (MMC). Zbl 1365.74147Schindler, Stefan; Mergheim, Julia; Zimmermann, Marco; Aurich, Jan C.; Steinmann, Paul 2 2017 Numerical modelling of nonlinear thermo-electro-elasticity. Zbl 1395.74026Mehnert, Markus; Pelteret, Jean-Paul; Steinmann, Paul 1 2017 Flow relations and yield functions for dissipative strain-gradient plasticity. Zbl 1382.74023Carstensen, Carsten; Ebobisse, François; McBride, Andrew T.; Reddy, B. Daya; Steinmann, Paul 1 2017 Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties. Zbl 1381.74179Pivovarov, Dmytro; Steinmann, Paul 11 2016 On nonlinear thermo-electro-elasticity. Zbl 1371.82161Mehnert, Marküs; Hossain, Mokarram; Steinmann, Paul 9 2016 On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure. Zbl 1398.74392Pivovarov, Dmytro; Steinmann, Paul 8 2016 On the adaptive finite element analysis of the Kohn-Sham equations: methods, algorithms, and implementation. Zbl 1352.65460Davydov, Denis; Young, Toby D.; Steinmann, Paul 7 2016 Reduced-order modelling for linear heat conduction with parametrised moving heat sources. Zbl 1397.74050Brands, Benjamin; Mergheim, Julia; Steinmann, Paul 7 2016 Comparative computational analysis of the Cahn-Hilliard equation with emphasis on \(C^{1}\)-continuous methods. Zbl 1352.65352Kaessmair, S.; Steinmann, P. 4 2016 On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. II: Numerical algorithm. Zbl 1365.82027Wang, Jiong; Steinmann, Paul 3 2016 A web-based tool for the interactive visualization of stresses in an infinite plate with an elliptical hole under simple tension: www.ltm.fau.de/plate. Zbl 1346.74002Friederich, Jan; Pfaller, Sebastian; Steinmann, Paul 1 2016 A non-invasive heuristic approach to shape optimization in forming. Zbl 1359.74354Landkammer, Philipp; Steinmann, Paul 1 2016 On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape-memory alloy sample. III: Magneto-mechanical behaviors. Zbl 1365.82028Wang, Jiong; Steinmann, Paul 1 2016 Geometrical foundations of continuum mechanics. An application to first- and second-order elasticity and elasto-plasticity. Zbl 1329.74003Steinmann, Paul 15 2015 Multiscale modelling for composites with energetic interfaces at the micro- or nanoscale. Zbl 1329.74016Chatzigeorgiou, G.; Javili, A.; Steinmann, P. 8 2015 Computational homogenization of rope-like technical textiles. Zbl 1311.74100Fillep, Sebastian; Mergheim, Julia; Steinmann, Paul 7 2015 Modelling of iron-filled magneto-active polymers with a dispersed chain-like microstructure. Zbl 1406.74544Saxena, Prashant; Pelteret, Jean-Paul; Steinmann, Paul 6 2015 Reviewing the roots of continuum formulations in molecular systems. III: Stresses, couple stresses, heat fluxes. Zbl 1338.74004Davydov, D.; Steinmann, P. 3 2015 Identification of elastoplastic microscopic material parameters within a homogenization scheme. Zbl 1352.74058Schmidt, U.; Mergheim, J.; Steinmann, P. 3 2015 A staggered approach to shape and topology optimization using the traction method and an evolutionary-type advancing front algorithm. Zbl 1423.74759Riehl, Stefan; Steinmann, Paul 2 2015 Surface magnetoelasticity theory. Zbl 1341.74058Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul 2 2015 Inverse analysis for heterogeneous materials and its application to viscoelastic curing polymers. Zbl 1311.74053Klinge, Sandra; Steinmann, Paul 1 2015 Two-scale computational homogenization of electro-elasticity at finite strains. Zbl 1423.74788Keip, Marc-André; Steinmann, Paul; Schröder, Jörg 22 2014 General imperfect interfaces. Zbl 1296.74115Javili, Ali; Kaessmair, S.; Steinmann, Paul 19 2014 Unified magnetomechanical homogenization framework with application to magnetorheological elastomers. Zbl 1355.74065Chatzigeorgiou, George; Javili, Ali; Steinmann, Paul 15 2014 A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology. Zbl 1311.74091Javili, A.; McBride, A.; Steinmann, P.; Reddy, B. D. 14 2014 The role of mechanics during brain development. Zbl 1328.74061Budday, Silvia; Steinmann, Paul; Kuhl, Ellen 13 2014 Modeling and simulation of viscous electro-active polymers. Zbl 1406.74226Vogel, Franziska; Göktepe, Serdar; Steinmann, Paul; Kuhl, Ellen 12 2014 Thermomechanical finite element simulations of selective electron beam melting processes: performance considerations. Zbl 1398.74007Riedlbauer, Daniel; Steinmann, Paul; Mergheim, Julia 6 2014 Reviewing the roots of continuum formulations in molecular systems, I: Particle dynamics, statistical physics, mass and linear momentum balance equations. Zbl 1356.74008Davydov, Denis; Steinmann, Paul 4 2014 On the discrete variant of the traction method in parameter-free shape optimization. Zbl 1423.74758Riehl, Stefan; Friederich, Jan; Scherer, Michael; Meske, Ralf; Steinmann, Paul 4 2014 On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. I: Theoretical formulation. Zbl 1341.82089Wang, Jiong; Steinmann, Paul 3 2014 Reviewing the roots of continuum formulations in molecular systems. II: Energy and angular momentum balance equations. Zbl 1307.74008Davydov, Denis; Steinmann, Paul 2 2014 Comparison of several staggered atomistic-to-continuum concurrent coupling strategies. Zbl 1423.74033Davydov, D.; Pelteret, J-P.; Steinmann, P. 2 2014 Magnetic force and torque on particles subject to a magnetic field. Zbl 1406.74225Vogel, F.; Pelteret, Jean-Paul; Kaessmair, S.; Steinmann, P. 2 2014 Homogenization in periodically heterogeneous elastic bodies with multiple micro-contact. Zbl 1455.74078Fillep, Sebastian; Orlik, Julia; Bare, Zoufine; Steinmann, Paul 1 2014 Degree of cure-dependent modelling for polymer curing processes at small-strain. I: Consistent reformulation. Zbl 1398.74067Hossain, M.; Steinmann, P. 1 2014 An integrated approach to shape optimization and mesh adaptivity based on material residual forces. Zbl 1423.74915Riehl, Stefan; Steinmann, Paul 1 2014 Geometrically nonlinear higher-gradient elasticity with energetic boundaries. Zbl 1294.74014Javili, A.; dell’Isola, F.; Steinmann, P. 66 2013 Numerical modelling of thermomechanical solids with highly conductive energetic interfaces. Zbl 1352.74096Javili, A.; Mcbride, A.; Steinmann, P. 20 2013 A cohesive crack propagation model: mathematical theory and numerical solution. Zbl 1345.74100Leugering, Günter; Prechtel, Marina; Steinmann, Paul; Stingl, Michael 7 2013 An Arlequin-based method to couple molecular dynamics and finite element simulations of amorphous polymers and nanocomposites. Zbl 1286.74007Pfaller, S.; Rahimi, Mohammad; Possart, G.; Steinmann, Paul; Müller-Plathe, F.; Böhm, Michael C. 5 2013 Analytical study on the stress-induced phase or variant transformation in slender shape memory alloy samples. Zbl 1293.74339Wang, Jiong; Steinmann, Paul; Dai, Hui-Hui 2 2013 Phenomenological modelling of self-healing polymers based on integrated healing agents. Zbl 1282.82057Mergheim, Julia; Steinmann, Paul 1 2013 On generalized crystal-plasticity based on defect-densities in a second-order continuum. Zbl 1275.74011Steinmann, Paul 1 2013 On the roots of continuum mechanics in differential geometry: a review. Zbl 1279.74007Steinmann, Paul 1 2013 On 3-D coupled BEM-FEM simulation of nonlinear electro-elastostatics. Zbl 1239.74096Vu, D. K.; Steinmann, Paul 20 2012 Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar’s data. Zbl 1293.74027Steinmann, Paul; Hossain, Mokarram; Possart, Gunnar 18 2012 On the spatial and material motion problems in nonlinear electro-elastostatics with consideration of free space. Zbl 07278890Vu, D. K.; Steinmann, P. 2 2012 A comparison of staggered solution schemes for coupled particle-continuum systems modeled with the Arlequin method. Zbl 1398.74009Pfaller, S.; Possart, G.; Steinmann, P.; Rahimi, M.; Müller-Plathe, F.; Böhm, M. C. 2 2012 Optimal design of brittle composite materials: a nonsmooth approach. Zbl 1257.90091Prechtel, Marina; Leugering, Günter; Steinmann, Paul; Stingl, Michael 1 2012 Isogeometric analysis of 2D gradient elasticity. Zbl 1398.74329Fischer, Paul; Klassen, Markus; Mergheim, Julia; Steinmann, Paul; Müller, Ralf 46 2011 Computational nonlinear electro-elasticity – getting started. Zbl 1213.74139Steinmann, P. 14 2011 Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion. Zbl 1270.74058McBride, A. T.; Javili, A.; Steinmann, P.; Bargmann, S. 12 2011 Simulation of fracture in heterogeneous elastic materials with cohesive zone models. Zbl 1283.74073Prechtel, M.; Ronda, P. Leiva; Janisch, R.; Hartmaier, A.; Leugering, G.; Steinmann, P.; Stingl, M. 11 2011 A finite element framework for continua with boundary energies. III: The thermomechanical case. Zbl 1228.74082Javili, A.; Steinmann, P. 9 2011 Unconstrained and Cauchy-Born-constrained atomistic systems: deformational and configurational mechanics. Zbl 1271.74018Steinmann, Paul; Ricker, Sarah; Aifantis, Elias 2 2011 Geometrically nonlinear gravito-elasticity: hyperelastostatics coupled to Newtonian gravitation. Zbl 1423.74142Steinmann, Paul 1 2011 A finite element framework for continua with boundary energies. II: The three-dimensional case. Zbl 1227.74074Javili, A.; Steinmann, P. 30 2010 A 2-D coupled BEM-FEM simulation of electro-elastostatics at large strain. Zbl 1227.74104Vu, D. K.; Steinmann, P. 20 2010 On thermomechanical solids with boundary structures. Zbl 1203.74031Javili, A.; Steinmann, P. 18 2010 On the \(C^1\) continuous discretization of nonlinear gradient elasticity: a comparison of NEM and FEM based on Bernstein-Bézier patches. Zbl 1188.74055Fischer, P.; Mergheim, J.; Steinmann, P. 18 2010 Natural element analysis of the Cahn-Hilliard phase-field model. Zbl 1398.74059Rajagopal, Amirtham; Fischer, Paul; Kuhl, Ellen; Steinmann, Paul 13 2010 A fictitious energy approach for shape optimization. Zbl 1188.74045Scherer, M.; Denzer, R.; Steinmann, P. 10 2010 Material and spatial motion problems in nonlinear electro- and magneto-elastostatics. Zbl 1257.74053Vu, D. K.; Steinmann, P. 9 2010 A finite strain framework for the simulation of polymer curing. II: Viscoelasticity and shrinkage. Zbl 1398.74040Hossain, M.; Possart, G.; Steinmann, P. 8 2010 A comparison of different approaches in the multi-scale computation of configurational forces. Zbl 1203.74149Ricker, Sarah; Mergheim, Julia; Steinmann, Paul; Müller, Ralf 3 2010 On deformational and configurational poro-mechanics: dissipative versus non-dissipative modelling of two-phase solid/fluid mixtures. Zbl 1271.74069Papastavrou, Areti; Steinmann, Paul 2 2010 A finite element framework for continua with boundary energies. I: The two-dimensional case. Zbl 1227.74075Javili, A.; Steinmann, P. 31 2009 A finite strain framework for the simulation of polymer curing. I: Elasticity. Zbl 1171.74006Hossain, M.; Possart, G.; Steinmann, P. 14 2009 A small-strain model to simulate the curing of thermosets. Zbl 1162.74329Hossain, M.; Possart, G.; Steinmann, P. 13 2009 Secret and joy of configurational mechanics: from foundations in continuum mechanics to applications in computational mechanics. Zbl 1168.74012Steinmann, Paul; Scherer, Michael; Denzer, Ralf 9 2009 ...and 113 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,020 Authors 144 Steinmann, Paul 36 Betsch, Peter 35 Menzel, Andreas M. 30 Kuhl, Ellen 28 Javili, Ali 23 Hesch, Christian 23 Miehe, Christian 18 Neff, Patrizio 17 Mergheim, Julia 15 McBride, Andrew T. 14 Bargmann, Swantje 14 Geers, Marc G. D. 14 Reddy, B. Dayanand 13 dell’Isola, Francesco 13 Eremeyev, Victor A. 13 Leyendecker, Sigrid 13 Noels, Ludovic 13 Ortigosa, Rogelio 12 Gross, Michael B. 12 Mahnken, Rolf 12 Mosler, Jörn 11 Bustamante, Roger 11 Denzer, Ralf 11 Forest, Samuel 11 Gil, Antonio J. 11 Goriely, Alain 11 Polizzotto, Castrenze 11 Rabczuk, Timon 11 Ristinmaa, Matti 11 Stein, Erwin 10 Fernández, Jose Ramon 10 Giorgio, Ivan 10 Kaliske, Michael 10 Reese, Stefanie 10 Runesson, Kenneth 10 Wriggers, Peter 9 Ortiz, Michael 9 Sansour, Carlo 9 Schillinger, Dominik 8 Krenk, Steen 8 Muller, Ralf 8 Shariff, M. H. B. M. 7 Barthold, Franz-Joseph 7 Brugnano, Luigi 7 Campo, Marco A. 7 Della Corte, Alessandro 7 Dietzsch, Julian 7 Hossain, Mokarram 7 Keip, Marc-André 7 Klinkel, Sven 7 Larsson, Fredrik 7 Larsson, Ragnar 7 Linder, Christian 7 Pivovarov, Dmytro 7 Svendsen, Bob 7 Wang, Jiong 7 Wieners, Christian 7 Wohlmuth, Barbara I. 6 Aldakheel, Fadi 6 Becker, Gauthier 6 Chatzigeorgiou, George 6 Cleja-Țigoiu, Sanda 6 Dittmann, M. 6 Ebobisse, François Bille 6 Eugster, Simon Raphael 6 Göktepe, Serdar 6 Greco, Leopoldo 6 Guidugli, Paolo Podio 6 Han, Chung-Souk 6 Kalpakides, Vassilios K. 6 Latorre, Marcos 6 Lion, Alexander 6 Mata, Pablo 6 Meschke, Günther 6 Montáns, Francisco-Javier 6 Nguyen, Van-Dung 6 Ogden, Raymond William 6 Placidi, Luca 6 Reddy, Junuthula Narasimha 6 Sfyris, Dimitris 6 Truster, Timothy J. 5 Altenbach, Holm 5 Areias, Pedro M. A. 5 Arnold, Martin 5 Askes, Harm 5 Clayton, John D. 5 Cuomo, Massimo 5 Ekh, Magnus 5 Ganghoffer, Jean-François 5 Holzapfel, Gerhard Alfred 5 Iavernaro, Felice 5 Ibrahimbegović, Adnan 5 Jelenić, Gordan 5 Kapl, Mario 5 Leugering, Günter 5 Liew, Kim Meow 5 Madeo, Angela 5 Martínez-Frutos, Jesús 5 Masud, Arif 5 Materna, Daniel ...and 1,920 more Authors all top 5 Cited in 118 Serials 332 Computer Methods in Applied Mechanics and Engineering 161 Computational Mechanics 116 International Journal for Numerical Methods in Engineering 80 Journal of the Mechanics and Physics of Solids 72 Mathematics and Mechanics of Solids 72 European Journal of Mechanics. A. Solids 52 Acta Mechanica 42 International Journal of Engineering Science 37 Continuum Mechanics and Thermodynamics 29 International Journal of Solids and Structures 23 International Journal of Plasticity 23 Archive of Applied Mechanics 19 Journal of Computational Physics 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 18 Multibody System Dynamics 18 International Journal of Fracture 16 Journal of Elasticity 16 Archives of Computational Methods in Engineering 14 Engineering Analysis with Boundary Elements 13 Meccanica 13 Applied Mathematical Modelling 12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 12 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 11 Computers & Mathematics with Applications 9 Applied Mathematics and Computation 9 Journal of Computational and Applied Mathematics 9 Communications in Numerical Methods in Engineering 9 GAMM-Mitteilungen 7 Mathematics and Computers in Simulation 7 Engineering Computations 6 Journal of Engineering Mathematics 6 Applied Numerical Mathematics 6 Nonlinear Dynamics 5 Computers and Fluids 5 International Journal for Numerical and Analytical Methods in Geomechanics 5 Mechanics Research Communications 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Theoretical Biology 4 Journal of Scientific Computing 4 Numerical Algorithms 4 International Journal of Computational Methods 3 Wave Motion 3 Journal of Differential Equations 3 Journal of Optimization Theory and Applications 3 Applied Mathematics and Mechanics. (English Edition) 3 Journal of Nonlinear Science 3 Advances in Computational Mathematics 3 Acta Mechanica Sinica 3 Evolution Equations and Control Theory 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Archives of Mechanics 2 Archive for Rational Mechanics and Analysis 2 International Journal of Heat and Mass Transfer 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 Calculus of Variations and Partial Differential Equations 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Mathematical Problems in Engineering 2 International Journal for Numerical Methods in Biomedical Engineering 2 International Journal of Structural Stability and Dynamics 2 Mathematics and Mechanics of Complex Systems 2 Results in Applied Mathematics 1 Applicable Analysis 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Philosophical Logic 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Optimal Control Applications & Methods 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Computer Aided Geometric Design 1 Journal of Computational Mathematics 1 Optimization 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 SIAM Journal on Mathematical Analysis 1 Russian Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 Journal of Applied Mechanics and Technical Physics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Structural and Multidisciplinary Optimization 1 Acta Numerica 1 Mathematical Biosciences and Engineering ...and 18 more Serials all top 5 Cited in 39 Fields 1,288 Mechanics of deformable solids (74-XX) 264 Numerical analysis (65-XX) 84 Fluid mechanics (76-XX) 68 Partial differential equations (35-XX) 68 Mechanics of particles and systems (70-XX) 63 Biology and other natural sciences (92-XX) 57 Statistical mechanics, structure of matter (82-XX) 44 Classical thermodynamics, heat transfer (80-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 25 Optics, electromagnetic theory (78-XX) 19 Differential geometry (53-XX) 15 Dynamical systems and ergodic theory (37-XX) 8 Ordinary differential equations (34-XX) 8 Geophysics (86-XX) 6 Computer science (68-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year