A Priori Error Analysis of Local Incremental Minimization Schemes for Rate-Independent Evolutions
DOI10.1137/19M1281423zbMath1462.65056arXiv1907.02712OpenAlexW2953571613MaRDI QIDQ5123989
Michael Sievers, Christian Meyer
Publication date: 17 September 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02712
implicit time discretizationa priori error analysisparameterized solutionsdifferential solutionsincremental minimization schemesrate-independent evolutions
Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Numerical solutions to abstract evolution equations (65J08) Numerical methods for variational inequalities and related problems (65K15)
Related Items (2)
Cites Work
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- Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems
- Finite element discretization of local minimization schemes for rate-independent evolutions
- Rate independent Kurzweil processes.
- Plasticity. Mathematical theory and numerical analysis
- On rate-independent hysteresis models
- Computational aspects of quasi-static crack propagation
- Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads
- Rate-independent systems. Theory and application
- Differential, Energetic, and Metric Formulations for Rate-Independent Processes
- Quasi-static rate-independent evolutions: characterization, existence, approximation and application to fracture mechanics
- Linearly constrained evolutions of critical points and an application to cohesive fractures
- Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality
- BV solutions and viscosity approximations of rate-independent systems
- Numerical Analysis of Time-Depending PrimalElastoplasticity with Hardening
- Regularity and approximation of strong solutions to rate-independent systems
- Convergence analysis of time-discretisation schemes for rate-independent systems
- Quasi-optimal Error Estimates for Implicit Discretizations of Rate-Independent Evolutions
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