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Schmidt, Bernd

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Author ID: schmidt.bernd Recent zbMATH articles by "Schmidt, Bernd"
Published as: Schmidt, B.; Schmidt, Bernd
Homepage: http://www.math.uni-augsburg.de/de/prof/ana/arbeitsgruppe/schmidt/
Documents Indexed: 39 Publications since 2000, including 1 Book

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 265 times in 191 Documents Cited by Year
Plate theory for stressed heterogeneous multilayers of finite bending energy. Zbl 1116.74034
Schmidt, Bernd
31
2007
Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape. Zbl 1379.74002
Au Yeung, Yuen; Friesecke, Gero; Schmidt, Bernd
29
2012
Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040
Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael
28
2009
Linear \(\Gamma \)-limits of multiwell energies in nonlinear elasticity theory. Zbl 1160.74321
Schmidt, Bernd
19
2008
Ground states of the 2D sticky disc model: fine properties and \(N^{3/4}\) law for the deviation from the asymptotic Wulff shape. Zbl 1292.82027
Schmidt, Bernd
15
2013
On the derivation of linear elasticity from atomistic models. Zbl 1183.74020
Schmidt, Bernd
13
2009
On the passage from atomic to continuum theory for thin films. Zbl 1156.74028
Schmidt, Bernd
13
2008
A derivation of continuum nonlinear plate theory from atomistic models. Zbl 1117.49018
Schmidt, Bernd
12
2006
Metastability and dominant eigenvalues of transfer operators. Zbl 1207.82021
Huisinga, Wilhelm; Schmidt, Bernd
11
2006
On the passage from atomistic systems to nonlinear elasticity theory for general multi-body potentials with p-growth. Zbl 1283.49013
Braun, Julian; Schmidt, Bernd
10
2013
Convergence analysis of meshfree approximation schemes. Zbl 1416.65469
Bompadre, A.; Schmidt, B.; Ortiz, M.
9
2012
An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem. Zbl 1302.74144
Friedrich, Manuel; Schmidt, Bernd
8
2014
Energy-stepping integrators in Lagrangian mechanics. Zbl 1188.70002
Gonzalez, M.; Schmidt, B.; Ortiz, M.
7
2010
Minimal energy configurations of strained multi-layers. Zbl 1129.49045
Schmidt, Bernd
7
2007
\(\Gamma \)-convergence of variational integrators for constrained systems. Zbl 1179.37112
Schmidt, Bernd; Leyendecker, Sigrid; Ortiz, Michael
6
2009
An analysis of crystal cleavage in the passage from atomistic models to continuum theory. Zbl 1329.82025
Friedrich, Manuel; Schmidt, Bernd
5
2015
\(N^{3/4}\) law in the cubic lattice. Zbl 1426.82065
Mainini, Edoardo; Piovano, Paolo; Schmidt, Bernd; Stefanelli, Ulisse
4
2019
On a discrete-to-continuum convergence result for a two dimensional brittle material in the small displacement regime. Zbl 1332.74044
Friedrich, Manuel; Schmidt, Bernd
4
2015
Universal formulae for the limiting elastic energy of membrane networks. Zbl 1244.74080
Schmidt, Bernd; Fraternali, Fernando
4
2012
Discrete-to-continuum limit of magnetic forces: Dependence on the distance between bodies. Zbl 1185.78006
Schlömerkemper, Anja; Schmidt, Bernd
4
2009
Effective theories for thin elastic films. Discrete-to-continuum limits for membranes and plates and minimal energy configurations of strained multi-layers. Zbl 1126.74002
Schmidt, Bernd
4
2006
Closure and commutability results for \(\Gamma\)-limits and the geometric linearization and homogenization of multiwell energy functionals. Zbl 1301.49032
Jesenko, Martin; Schmidt, Bernd
3
2014
Force-stepping integrators in Lagrangian mechanics. Zbl 1202.70006
Gonzalez, M.; Schmidt, B.; Ortiz, M.
3
2010
Time-independent gravitational fields. Zbl 0974.83012
Beig, Robert; Schmidt, Bernd
3
2000
A variational approach to Navier-Stokes. Zbl 1406.35237
Ortiz, Michael; Schmidt, Bernd; Stefanelli, Ulisse
2
2018
Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials. Zbl 1387.49016
Jesenko, Martin; Schmidt, Bernd
2
2018
Existence and convergence of solutions of the boundary value problem in atomistic and continuum nonlinear elasticity theory. Zbl 1356.35239
Braun, Julian; Schmidt, Bernd
2
2016
Existence of families of spacetimes with a Newtonian limit. Zbl 1177.83060
Oliynyk, Todd Andrew; Schmidt, Bernd
2
2009
Qualitative properties of a continuum theory for thin films. Zbl 1142.74026
Schmidt, Bernd
2
2008
Surface energy and boundary layers for a chain of atoms at low temperature. Zbl 1456.82666
Jansen, Sabine; König, Wolfgang; Schmidt, Bernd; Theil, Florian
1
2021
Maximal fluctuations around the Wulff shape for edge-isoperimetric sets in \({\mathbb{Z}}^d \): a sharp scaling law. Zbl 1454.05121
Mainini, Edoardo; Schmidt, Bernd
1
2020
On the infinite particle limit in Lagrangian dynamics and convergence of optimal transportation meshfree methods. Zbl 1370.37121
Schmidt, Bernd
1
2014
Surface energy and boundary layers for a chain of atoms at low temperature. Zbl 1456.82666
Jansen, Sabine; König, Wolfgang; Schmidt, Bernd; Theil, Florian
1
2021
Maximal fluctuations around the Wulff shape for edge-isoperimetric sets in \({\mathbb{Z}}^d \): a sharp scaling law. Zbl 1454.05121
Mainini, Edoardo; Schmidt, Bernd
1
2020
\(N^{3/4}\) law in the cubic lattice. Zbl 1426.82065
Mainini, Edoardo; Piovano, Paolo; Schmidt, Bernd; Stefanelli, Ulisse
4
2019
A variational approach to Navier-Stokes. Zbl 1406.35237
Ortiz, Michael; Schmidt, Bernd; Stefanelli, Ulisse
2
2018
Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials. Zbl 1387.49016
Jesenko, Martin; Schmidt, Bernd
2
2018
Existence and convergence of solutions of the boundary value problem in atomistic and continuum nonlinear elasticity theory. Zbl 1356.35239
Braun, Julian; Schmidt, Bernd
2
2016
An analysis of crystal cleavage in the passage from atomistic models to continuum theory. Zbl 1329.82025
Friedrich, Manuel; Schmidt, Bernd
5
2015
On a discrete-to-continuum convergence result for a two dimensional brittle material in the small displacement regime. Zbl 1332.74044
Friedrich, Manuel; Schmidt, Bernd
4
2015
An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem. Zbl 1302.74144
Friedrich, Manuel; Schmidt, Bernd
8
2014
Closure and commutability results for \(\Gamma\)-limits and the geometric linearization and homogenization of multiwell energy functionals. Zbl 1301.49032
Jesenko, Martin; Schmidt, Bernd
3
2014
On the infinite particle limit in Lagrangian dynamics and convergence of optimal transportation meshfree methods. Zbl 1370.37121
Schmidt, Bernd
1
2014
Ground states of the 2D sticky disc model: fine properties and \(N^{3/4}\) law for the deviation from the asymptotic Wulff shape. Zbl 1292.82027
Schmidt, Bernd
15
2013
On the passage from atomistic systems to nonlinear elasticity theory for general multi-body potentials with p-growth. Zbl 1283.49013
Braun, Julian; Schmidt, Bernd
10
2013
Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape. Zbl 1379.74002
Au Yeung, Yuen; Friesecke, Gero; Schmidt, Bernd
29
2012
Convergence analysis of meshfree approximation schemes. Zbl 1416.65469
Bompadre, A.; Schmidt, B.; Ortiz, M.
9
2012
Universal formulae for the limiting elastic energy of membrane networks. Zbl 1244.74080
Schmidt, Bernd; Fraternali, Fernando
4
2012
Energy-stepping integrators in Lagrangian mechanics. Zbl 1188.70002
Gonzalez, M.; Schmidt, B.; Ortiz, M.
7
2010
Force-stepping integrators in Lagrangian mechanics. Zbl 1202.70006
Gonzalez, M.; Schmidt, B.; Ortiz, M.
3
2010
Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040
Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael
28
2009
On the derivation of linear elasticity from atomistic models. Zbl 1183.74020
Schmidt, Bernd
13
2009
\(\Gamma \)-convergence of variational integrators for constrained systems. Zbl 1179.37112
Schmidt, Bernd; Leyendecker, Sigrid; Ortiz, Michael
6
2009
Discrete-to-continuum limit of magnetic forces: Dependence on the distance between bodies. Zbl 1185.78006
Schlömerkemper, Anja; Schmidt, Bernd
4
2009
Existence of families of spacetimes with a Newtonian limit. Zbl 1177.83060
Oliynyk, Todd Andrew; Schmidt, Bernd
2
2009
Linear \(\Gamma \)-limits of multiwell energies in nonlinear elasticity theory. Zbl 1160.74321
Schmidt, Bernd
19
2008
On the passage from atomic to continuum theory for thin films. Zbl 1156.74028
Schmidt, Bernd
13
2008
Qualitative properties of a continuum theory for thin films. Zbl 1142.74026
Schmidt, Bernd
2
2008
Plate theory for stressed heterogeneous multilayers of finite bending energy. Zbl 1116.74034
Schmidt, Bernd
31
2007
Minimal energy configurations of strained multi-layers. Zbl 1129.49045
Schmidt, Bernd
7
2007
A derivation of continuum nonlinear plate theory from atomistic models. Zbl 1117.49018
Schmidt, Bernd
12
2006
Metastability and dominant eigenvalues of transfer operators. Zbl 1207.82021
Huisinga, Wilhelm; Schmidt, Bernd
11
2006
Effective theories for thin elastic films. Discrete-to-continuum limits for membranes and plates and minimal energy configurations of strained multi-layers. Zbl 1126.74002
Schmidt, Bernd
4
2006
Time-independent gravitational fields. Zbl 0974.83012
Beig, Robert; Schmidt, Bernd
3
2000
all top 5

Cited by 271 Authors

17 Schmidt, Bernd
13 Friedrich, Manuel
10 Ortiz, Michael
9 Stefanelli, Ulisse
8 Agostiniani, Virginia
8 Cicalese, Marco
8 Hornung, Peter
6 DeSimone, Antonio
6 Velčić, Igor
5 Alicandro, Roberto
5 Kreutz, Leonard C.
5 Mainini, Edoardo
5 Neukamm, Stefan
5 Piovano, Paolo
5 Schlömerkemper, Anja
4 Braides, Andrea
4 Davoli, Elisa
4 De Luca, Lucia
4 Lazzaroni, Giuliano
4 Palombaro, Mariapia
4 Ruf, Matthias
4 Schäffner, Mathias
4 Weinberg, Kerstin
3 Bartels, Sören
3 Fraternali, Fernando
3 König, Wolfgang Dieter
3 Lew, Adrian J.
3 Lewicka, Marta
3 Leyendecker, Sigrid
3 Lipton, Robert P.
3 Raoult, Annie
3 Schütte, Christof
3 Sun, WaiChing
3 Weber, Marcus
2 Amendola, Ada
2 Bétermin, Laurent
2 Bonito, Andrea
2 Braun, Julian
2 Carrillo de la Plata, José Antonio
2 Dal Maso, Gianni
2 Desmet, Wim
2 Djurdjevac Conrad, Natasa
2 Focardi, Matteo
2 Friesecke, Gero
2 Grandi, Diego
2 Greco, Francesco
2 Jansen, Sabine C.
2 Jiang, Hao
2 Johnson, Gwen
2 Junge, Oliver
2 Koumatos, Konstantinos
2 Krause, Rolf H.
2 Kružík, Martin
2 Kumar, Siddhant
2 Li, Bentian
2 Li, Bo
2 Lu, Jian
2 Lucantonio, Alessandro
2 Lučić, Danka
2 Mielke, Alexander
2 Mora, Maria Giovanna
2 Natário, José
2 Negri, Matteo
2 Nochetto, Ricardo Horacio
2 Paroni, Roberto
2 Ponsiglione, Marcello
2 Rabczuk, Timon
2 Scardia, Lucia
2 Shen, Yongxing
2 Solombrino, Francesco
2 Theil, Florian
2 Tomassetti, Giuseppe
2 Zanini, Chiara
1 Alben, Silas D.
1 Allaire, Grégoire
1 Andrianov, Igor V.
1 Anitescu, Cosmin
1 Arroyo, María José
1 Arroyo, Marino
1 Awrejcewicz, Jan
1 Bach, Annika
1 Bauer, Robert Otto
1 Benešová, Barbora
1 Bian, Xin
1 Bilgen, Carola
1 Bittracher, Andreas
1 Blanc, Xavier
1 Blass, T. J.
1 Böhlke, Thomas
1 Bourdin, Blaise
1 Bourne, David P.
1 Bruckner, Sharon
1 Bryant, Eric C.
1 Buchert, Thomas
1 Bufford, Laura
1 Cañizo, José Alfredo
1 Carpentieri, Gerardo
1 Chen, Xian
1 Chiaramonte, Maurizio M.
1 Chipot, Michel
...and 171 more Authors
all top 5

Cited in 65 Serials

18 Archive for Rational Mechanics and Analysis
15 Computer Methods in Applied Mechanics and Engineering
15 International Journal for Numerical Methods in Engineering
11 Calculus of Variations and Partial Differential Equations
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 SIAM Journal on Mathematical Analysis
8 Journal of Elasticity
7 Journal of Nonlinear Science
6 Journal of Statistical Physics
5 Communications in Mathematical Physics
5 Journal of the Mechanics and Physics of Solids
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Meccanica
4 Continuum Mechanics and Thermodynamics
3 General Relativity and Gravitation
3 Journal of Computational Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Networks and Heterogeneous Media
2 Journal of Mathematical Physics
2 Nonlinearity
2 Journal of Differential Equations
2 Multiscale Modeling & Simulation
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Computational Dynamics
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 Journal of Optimization Theory and Applications
1 Transactions of the American Mathematical Society
1 Physica D
1 The Annals of Applied Probability
1 Communications in Partial Differential Equations
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Stochastic Processes and their Applications
1 Numerical Linear Algebra with Applications
1 NoDEA. Nonlinear Differential Equations and Applications
1 Mathematical Problems in Engineering
1 Mathematics and Mechanics of Solids
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Brazilian Journal of Probability and Statistics
1 Archives of Computational Methods in Engineering
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 International Journal of Computational Methods
1 International Journal of Fracture
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Communications in Mathematical Analysis
1 Nonlinear Analysis. Hybrid Systems
1 Advances in Calculus of Variations
1 Analysis & PDE
1 ISRN Applied Mathematics
1 East Asian Journal on Applied Mathematics
1 EMS Surveys in Mathematical Sciences
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Bollettino dell’Unione Matematica Italiana
1 Mathematics in Engineering

Citations by Year