MIXED FINITE ELEMENT METHODS FOR LINEAR VISCOELASTICITY USING WEAK SYMMETRY
From MaRDI portal
Publication:3575395
DOI10.1142/S0218202510004490zbMath1245.74087OpenAlexW1988314016MaRDI QIDQ3575395
Ragnar Winther, Marie E. Rognes
Publication date: 27 July 2010
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202510004490
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Linear constitutive equations for materials with memory (74D05)
Related Items (13)
Analysis of mixed finite element methods for the standard linear solid model in viscoelasticity ⋮ Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation ⋮ Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model ⋮ A Mixed Discontinuous Galerkin Method for a Linear Viscoelasticity Problem With Strongly Imposed Symmetry ⋮ Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic-viscoelastic composite structures ⋮ A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity ⋮ Existence and uniqueness of solution of a thermoviscoelastic equation with time-dependent coefficients ⋮ Stabilized mixed finite element method for a quasistatic Maxwell viscoelastic model ⋮ The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme ⋮ Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments ⋮ An \(hp\) error analysis of a hybrid discontinuous mixed Galerkin method for linear viscoelasticity ⋮ Multipoint stress mixed finite element methods for linear viscoelasticity with weak symmetry ⋮ Assessment of surgical strategies for addressing keloids: an optimization problem
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Two families of mixed finite elements for second order elliptic problems
- A family of mixed finite elements for the elasticity problem
- On the linear theory of viscoelasticity
- Equilibrium finite elements for the linear elastic problem
- Dual hybrid methods for the elasticity and the Stokes problems: A unified approach
- Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity
- A mixed finite element approach for viscoelastic wave propagation
- Finite element approximation of viscoelastic progressively incompressible flows
- Mixed finite elements for elasticity
- Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids
- A mixed finite element method for elasticity in three dimensions
- A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems
- Finite element exterior calculus, homological techniques, and applications
- Finite elements for symmetric tensors in three dimensions
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- PEERS: A new mixed finite element for plane elasticity
- Mixed and Hybrid Finite Element Methods
- Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems
- Solving Ordinary Differential Equations II
- Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems
- Smoothed projections in finite element exterior calculus
- Finite Elements
This page was built for publication: MIXED FINITE ELEMENT METHODS FOR LINEAR VISCOELASTICITY USING WEAK SYMMETRY
