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## Eck, Christof

Compute Distance To:
 Author ID: eck.christof Published as: Eck, C.; Eck, Ch.; Eck, Christof External Links: MGP · Wikidata · GND
 Documents Indexed: 47 Publications since 1996, including 6 Books
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#### Co-Authors

 6 single-authored 17 Jarušek, Jiří 7 Knabner, Peter 5 Garcke, Harald 5 Wendland, Wolfgang L. 3 Caginalp, Gunduz 3 Emmerich, Heike 2 Chen, Xinfu 1 Andreas, Rätz 1 Bach, Michael 1 Balykov, Lev 1 Chalupecký, Vladimír 1 Fontelos López, Marco Antonio 1 Grün, Günther 1 Jadamba, Baasansuren 1 Klingbeil, Fabian 1 Korotov, Sergey 1 Krbec, Miroslav 1 Krishnamoorthy, Ganeshram 1 Kutter, Michael 1 Nazarov, Sergeĭ Aleksandrovich 1 Rohde, Christian 1 Sändig, Anna-Margarete 1 Schulz, Martin 1 Sofonea, Mircea 1 Stará, Jana 1 Steinbach, Olaf 1 Stinner, Bjorn 1 van Noorden, Tycho L. 1 Vantzos, Orestis 1 Voigt, Axel 1 Wohlmuth, Barbara I.
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#### Serials

 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Multiscale Modeling & Simulation 3 Springer-Lehrbuch 2 Archive for Rational Mechanics and Analysis 2 Mathematical Methods in the Applied Sciences 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Discrete and Continuous Dynamical Systems 2 Interfaces and Free Boundaries 1 Journal of Computational Physics 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 European Journal of Applied Mathematics 1 Mathematica Bohemica 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Continuum Mechanics and Thermodynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Pure and Applied Mathematics (Boca Raton) 1 Springer Undergraduate Mathematics Series
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#### Fields

 31 Mechanics of deformable solids (74-XX) 22 Partial differential equations (35-XX) 18 Classical thermodynamics, heat transfer (80-XX) 8 Fluid mechanics (76-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 4 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 351 times in 287 Documents Cited by Year
Unilateral contact problems. Variational methods and existence theorems. Zbl 1079.74003
Eck, Christof; Jarušek, Jiří; Krbec, Miroslav
2005
Existence results for the static contact problem with Coulomb friction. Zbl 0907.73052
Eck, C.; Jarušek, J.
1998
A symmetric boundary element method for contact problems with friction. Zbl 1027.65162
Eck, C.; Steinbach, O.; Wendland, W. L.
1999
Dynamic contact problems with small Coulomb friction for viscoelastic bodies. Existence of solutions. Zbl 0938.74048
Jarušek, J.; Eck, C.
1999
Existence and regularity of solutions for contact problems with friction. Zbl 0867.73071
Eck, Christof
1996
Convergence of a contact-Neumann iteration for the solution of two-body contact problems. Zbl 1053.74044
Eck, C.; Wohlmuth, B.
2003
Existence of solutions to a thermo-viscoelastic contact problem with Coulomb friction. Zbl 1173.74345
Eck, C.
2002
On a phase-field model for electrowetting. Zbl 1167.35553
Eck, C.; Fontelos, M.; Grün, G.; Klingbeil, F.; Vantzos, O.
2009
Analysis of a two-scale phase field model for liquid-solid phase transitions with equiaxed dendritic microstructure. Zbl 1074.35013
Eck, Christof
2004
A residual-based error estimator for BEM discretizations of contact problems. Zbl 1031.74050
Eck, C.; Wendland, W. L.
2003
Homogenization of a phase field model for binary mixtures. Zbl 1160.35332
Eck, Christof
2004
Normal compliance contact models with finite interpenetration. Zbl 1320.74083
Eck, Christof; Jarušek, Jiří; Stará, Jana
2013
Dynamic contact problems with friction in linear viscoelasticity. Zbl 0848.73057
Jarušek, Jiří; Eck, Christof
1996
A dynamic elastic-visco-plastic unilateral contact problem with normal damped response and Coulomb friction. Zbl 1330.74131
Eck, Christof; Jarušek, Jiří; Sofonea, Mircea
2010
A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure. Zbl 1045.76037
Eck, Christof; Knabner, Peter; Korotov, Sergey
2002
Existence results for the semicoercive static contact problem with Coulomb friction. Zbl 0995.74049
Eck, C.; Jarušek, J.
2000
The solvability of a coupled thermoviscoelastic contact problem with small Coulomb friction and linearized growth of frictional heat. Zbl 0949.74047
Eck, Christof; Jarušek, Jiří
1999
Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation. Zbl 1219.35378
Van Noorden, T. L.; Eck, Christof
2011
Solvability of static contact problems with Coulomb friction for orthotropic material. Zbl 1159.74385
Eck, Christof; Jarušek, Jiří
2008
A rapidly converging phase field model. Zbl 1119.80009
Chen, Xinfu; Caginalp, Gunduz; Eck, Christof
2006
Asymptotic analysis for a mixed boundary value contact problem. Zbl 1002.74071
Eck, C.; Nazarov, S. A.; Wendland, W. L.
2001
Numerical tests of a phase field model with second order accuracy. Zbl 1151.80006
Caginalp, Gunduz; Chen, Xinfu; Eck, Christof
2008
Existence of solutions for the dynamic frictional contact problem of isotropic viscoelastic bodies. Zbl 1138.74373
Eck, C.; Jarušek, J.
2003
Mathematical modelling. Zbl 1223.00014
Eck, Christof; Garcke, Harald; Knabner, Peter
2008
Rapidly converging phase field models via second order asymptotics. Zbl 1166.80301
Caginalp, Gunduz; Eck, Christof
2005
Mathematical modeling. Zbl 1386.00063
Eck, Christof; Garcke, Harald; Knabner, Peter
2017
On the thermal aspect of dynamic contact problems. Zbl 1049.74032
Eck, C.; Jarušek, J.
2001
A two scale model for liquid phase epitaxy with elasticity: an iterative procedure. Zbl 1432.76046
Eck, Christof; Kutter, Michael; Sändig, Anna-Margarete; Rohde, Christian
2013
Mathematical modelling. 2nd revised ed. Zbl 1226.00031
Eck, Christof; Garcke, Harald; Knabner, Peter
2011
A two-scale model for liquid-phase epitaxy. Zbl 1151.35383
Eck, Ch.; Emmerich, H.
2009
Error estimates for a finite element discretization of a two-scale phase field model. Zbl 1141.80015
Eck, Christof
2007
Multiscale problems in solidification processes. Zbl 1366.80004
Eck, Christof; Garcke, Harald; Stinner, Björn
2006
Existence of solutions to a nonlinear coupled thermo-viscoelastic contact problem with small Coulomb friction. Zbl 0964.35160
Eck, Christof; Jarušek, Jiří
1999
Dynamic contact problem with Coulomb friction for viscoelastic bodies, existence of solutions for a general body. Zbl 0959.74045
Jarušek, J.; Eck, Ch.
1998
Mathematical modeling. Zbl 1386.00063
Eck, Christof; Garcke, Harald; Knabner, Peter
2017
Normal compliance contact models with finite interpenetration. Zbl 1320.74083
Eck, Christof; Jarušek, Jiří; Stará, Jana
2013
A two scale model for liquid phase epitaxy with elasticity: an iterative procedure. Zbl 1432.76046
Eck, Christof; Kutter, Michael; Sändig, Anna-Margarete; Rohde, Christian
2013
Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation. Zbl 1219.35378
Van Noorden, T. L.; Eck, Christof
2011
Mathematical modelling. 2nd revised ed. Zbl 1226.00031
Eck, Christof; Garcke, Harald; Knabner, Peter
2011
A dynamic elastic-visco-plastic unilateral contact problem with normal damped response and Coulomb friction. Zbl 1330.74131
Eck, Christof; Jarušek, Jiří; Sofonea, Mircea
2010
On a phase-field model for electrowetting. Zbl 1167.35553
Eck, C.; Fontelos, M.; Grün, G.; Klingbeil, F.; Vantzos, O.
2009
A two-scale model for liquid-phase epitaxy. Zbl 1151.35383
Eck, Ch.; Emmerich, H.
2009
Solvability of static contact problems with Coulomb friction for orthotropic material. Zbl 1159.74385
Eck, Christof; Jarušek, Jiří
2008
Numerical tests of a phase field model with second order accuracy. Zbl 1151.80006
Caginalp, Gunduz; Chen, Xinfu; Eck, Christof
2008
Mathematical modelling. Zbl 1223.00014
Eck, Christof; Garcke, Harald; Knabner, Peter
2008
Error estimates for a finite element discretization of a two-scale phase field model. Zbl 1141.80015
Eck, Christof
2007
A rapidly converging phase field model. Zbl 1119.80009
Chen, Xinfu; Caginalp, Gunduz; Eck, Christof
2006
Multiscale problems in solidification processes. Zbl 1366.80004
Eck, Christof; Garcke, Harald; Stinner, Björn
2006
Unilateral contact problems. Variational methods and existence theorems. Zbl 1079.74003
Eck, Christof; Jarušek, Jiří; Krbec, Miroslav
2005
Rapidly converging phase field models via second order asymptotics. Zbl 1166.80301
Caginalp, Gunduz; Eck, Christof
2005
Analysis of a two-scale phase field model for liquid-solid phase transitions with equiaxed dendritic microstructure. Zbl 1074.35013
Eck, Christof
2004
Homogenization of a phase field model for binary mixtures. Zbl 1160.35332
Eck, Christof
2004
Convergence of a contact-Neumann iteration for the solution of two-body contact problems. Zbl 1053.74044
Eck, C.; Wohlmuth, B.
2003
A residual-based error estimator for BEM discretizations of contact problems. Zbl 1031.74050
Eck, C.; Wendland, W. L.
2003
Existence of solutions for the dynamic frictional contact problem of isotropic viscoelastic bodies. Zbl 1138.74373
Eck, C.; Jarušek, J.
2003
Existence of solutions to a thermo-viscoelastic contact problem with Coulomb friction. Zbl 1173.74345
Eck, C.
2002
A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure. Zbl 1045.76037
Eck, Christof; Knabner, Peter; Korotov, Sergey
2002
Asymptotic analysis for a mixed boundary value contact problem. Zbl 1002.74071
Eck, C.; Nazarov, S. A.; Wendland, W. L.
2001
On the thermal aspect of dynamic contact problems. Zbl 1049.74032
Eck, C.; Jarušek, J.
2001
Existence results for the semicoercive static contact problem with Coulomb friction. Zbl 0995.74049
Eck, C.; Jarušek, J.
2000
A symmetric boundary element method for contact problems with friction. Zbl 1027.65162
Eck, C.; Steinbach, O.; Wendland, W. L.
1999
Dynamic contact problems with small Coulomb friction for viscoelastic bodies. Existence of solutions. Zbl 0938.74048
Jarušek, J.; Eck, C.
1999
The solvability of a coupled thermoviscoelastic contact problem with small Coulomb friction and linearized growth of frictional heat. Zbl 0949.74047
Eck, Christof; Jarušek, Jiří
1999
Existence of solutions to a nonlinear coupled thermo-viscoelastic contact problem with small Coulomb friction. Zbl 0964.35160
Eck, Christof; Jarušek, Jiří
1999
Existence results for the static contact problem with Coulomb friction. Zbl 0907.73052
Eck, C.; Jarušek, J.
1998
Dynamic contact problem with Coulomb friction for viscoelastic bodies, existence of solutions for a general body. Zbl 0959.74045
Jarušek, J.; Eck, Ch.
1998
Existence and regularity of solutions for contact problems with friction. Zbl 0867.73071
Eck, Christof
1996
Dynamic contact problems with friction in linear viscoelasticity. Zbl 0848.73057
Jarušek, Jiří; Eck, Christof
1996
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all top 5

#### Cited in 93 Serials

 23 Computer Methods in Applied Mechanics and Engineering 13 Nonlinear Analysis. Real World Applications 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Mathematical Methods in the Applied Sciences 9 Applicable Analysis 8 Journal of Mathematical Analysis and Applications 8 Journal of Computational and Applied Mathematics 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Mathematics and Mechanics of Solids 7 Numerische Mathematik 7 Applied Numerical Mathematics 7 Applications of Mathematics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 European Journal of Applied Mathematics 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 International Journal for Numerical Methods in Engineering 5 Engineering Analysis with Boundary Elements 4 Computers & Mathematics with Applications 4 Journal of Computational Physics 4 Applied Mathematics and Computation 4 Mathematics and Computers in Simulation 4 Journal of Elasticity 4 SIAM Journal on Applied Mathematics 3 International Journal of Engineering Science 3 Computing 3 Journal of Differential Equations 3 Quarterly of Applied Mathematics 3 SIAM Journal on Control and Optimization 3 Computational Mechanics 3 Communications on Pure and Applied Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Evolution Equations and Control Theory 2 Archive for Rational Mechanics and Analysis 2 Journal of Engineering Mathematics 2 Applied Mathematics and Optimization 2 Journal of Optimization Theory and Applications 2 Numerical Functional Analysis and Optimization 2 Acta Applicandae Mathematicae 2 Physica D 2 Continuum Mechanics and Thermodynamics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Computing and Visualization in Science 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Computational Geosciences 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Mediterranean Journal of Mathematics 2 Acta Numerica 2 SMAI Journal of Computational Mathematics 1 International Journal of Systems Science 1 Journal of Fluid Mechanics 1 Mathematics of Computation 1 Prikladnaya Matematika i Mekhanika 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Mechanics Research Communications 1 Chinese Annals of Mathematics. Series B 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Mathematical Programming. Series A. Series B 1 Computational Optimization and Applications 1 International Applied Mechanics 1 Physics of Fluids 1 Journal of Convex Analysis 1 Multibody System Dynamics 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 Differential Equations 1 Matematicheskoe Modelirovanie 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Central European Journal of Mathematics 1 Structural and Multidisciplinary Optimization 1 Analysis and Applications (Singapore) 1 International Journal of Computational Methods 1 GAMM-Mitteilungen 1 Journal of Fixed Point Theory and Applications 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Set-Valued and Variational Analysis 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Nonlinear Analysis. Theory, Methods & Applications 1 International Journal of Systems Science. Principles and Applications of Systems and Integration
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#### Cited in 20 Fields

 226 Mechanics of deformable solids (74-XX) 125 Partial differential equations (35-XX) 70 Numerical analysis (65-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 29 Fluid mechanics (76-XX) 27 Operator theory (47-XX) 15 Classical thermodynamics, heat transfer (80-XX) 7 Ordinary differential equations (34-XX) 6 Operations research, mathematical programming (90-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1

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