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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 16
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 1, February 2009
  4. Reverse Approximation of Energetic Solutions to Rate-Independent Processes
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 6, December 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 5, October 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 4, August 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 3, July 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 2, April 2009
Nonlinear Differential Equations and Applications NoDEA : Volume 16, Issue 1, February 2009
Existence of Periodic Solutions for the Quasi-Static Thermoelastic Thermistor Problem
Reverse Approximation of Energetic Solutions to Rate-Independent Processes
Infinite-Time Quenching in a Fast Diffusion Equation with Strong Absorption
Critical Nonlinear Nonlocal Equations on a Half-Line
Principal Eigenvalues for Isaacs Operators with Neumann Boundary Conditions
A Simple Partial Regularity Proof for Minimizers of Variational Integrals
Velocity Averaging Lemmas in Hyperbolic Sobolev Spaces for the Kinetic Transport Equation with Velocity Field on the Sphere
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Reverse Approximation of Energetic Solutions to Rate-Independent Processes

Content Provider SpringerLink
Author Mielke, Alexander Rindler, Filip
Copyright Year 2009
Abstract Energetic solutions to rate-independent processes are usually constructed via time-incremental minimization problems. In this work we show that all energetic solutions can be approximated by such incremental problems if we allow for approximate minimizers, where the error in minimization has to be of the order of the time step. Moreover, we study sequences of problems where the energy functionals have a Γ-limit.
Ending Page 40
Page Count 24
Starting Page 17
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 1
Volume Number 16
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2009-02-03
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Equations with nonlinear operators energetic solutions Analysis Rate-independent processes approximate incremental problems Numerical approximation of solutions Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials) Variational methods including variational inequalities Variational principles of physics gamma convergence
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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