Rosenbrock-type methods applied to finite element computations within finite strain viscoelasticity
type: Item
instance of: scholarly article
title: Rosenbrock-type methods applied to finite element computations within finite strain viscoelasticity
zbMATH Open document ID: 1231.74412
author: S. Hartmann
author: Ahmad-Wahadj Hamkar
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2012-02-08T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74D10
zbMATH DE Number: 6004260
zbMATH Keywords: viscoelasticity
zbMATH Keywords: finite strains
zbMATH Keywords: mixed finite elements
zbMATH Keywords: Rosenbrock-type methods
zbMATH Keywords: differential
zbMATH Keywords: algebraic equations
describes a project that uses: RODAS
describes a project that uses: ROS3P
describes a project that uses: PARDISO
MaRDI profile type: Publication
full work available at URL: j.cma.2009.12.011
OpenAlex ID: W1986787127
cites work: Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
cites work: Diagonally Implicit Runge-Kutta Formulae with Error Estimates
cites work: A BDF2 integration method with step size control for elasto-plasticity
cites work: Q4269241
cites work: Remarks on the interpretation of current nonlinear finite element analyses as differential-algebraic equations
cites work: Q4840184
cites work: Solving Ordinary Differential Equations I
cites work: Q4714145
cites work: Numerical studies on the identification of the material parameters of Rivlin's hyperelasticity using tension-torsion tests
cites work: Parameter estimation of hyperelasticity relations of generalized polynomial-type with constraint conditions
cites work: Computation in finite-strain viscoelasticity: finite elements based on the interpretation as differential-algebraic equations
cites work: A remark on the application of the Newton-Raphson method in nonlinear finite element analysis
cites work: A thermomechanically consistent constitutive model for polyoxymethylene. Experiments, material modelling and computation
cites work: High-order time integration applied to metal powder plasticity
cites work: Q4359834
cites work: Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility.
cites work: On plastic incompressibility within time-adaptive finite elements combined with projection techniques
cites work: Displacement control in time‐adaptive non‐linear finite‐element analysis
cites work: Finite deformations of a carbon black-filled rubber. Experiment, optical measurement and material parameter identification using finite elements
cites work: Finite element analysis of viscoelastic structures using Rosenbrock-type methods
cites work: On volumetric locking‐free behaviour of p‐version finite elements under finite deformations
cites work: Newton‐Type Decomposition Methods for Equations Arising in Network Analysis
cites work: ROS3P -- An accurate third-order Rosenbrock solver designed for parabolic problems
cites work: Rosenbrock methods for differential-algebraic systems with solution- dependent singular matrix multiplying the derivative
cites work: A multilevel Newton algorithm with macromodeling and latency for the analysis of large-scale nonlinear circuits in the time domain
cites work: Q3605098
cites work: New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index
cites work: Perturbation index of linear partial differential-algebraic equations
cites work: Rosenbrock methods for differential algebraic equations
cites work: Q4737758
cites work: A Compendium of Partial Differential Equation Models
cites work: Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
cites work: Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
cites work: A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
DOI: 10.1016/J.CMA.2009.12.011
description: scientific article; zbMATH DE number 6004260