Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation

DOI10.4208/aamm.OA-2021-0014zbMath1499.65544arXiv2101.09152OpenAlexW4225504883MaRDI QIDQ5033437

Hao Yuan, Xiaoping Xie

Publication date: 23 February 2022

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09152

zbMATH Keywords

stabilityerror estimatemixed finite elementMaxwell viscoelastic modelsemi-discrete and fully discrete

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Nonlinear constitutive equations for materials with memory (74D10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

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, Stabilized mixed finite element method for a quasistatic Maxwell viscoelastic model

Cites Work

• A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• On the linear theory of viscoelasticity
• Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity
• A mixed finite element approach for viscoelastic wave propagation
• Mixed finite elements for elasticity
• Nonconforming finite element methods for the simulation of waves in viscoelastic solids.
• Numerical methods for treating problems of viscoelastic isotropic solid deformation
• Nonlinear viscoelastic solids
• Finite element approximations of symmetric tensors on simplicial grids in Rn: the high order case
• MIXED FINITE ELEMENT METHODS FOR LINEAR VISCOELASTICITY USING WEAK SYMMETRY
• Mixed and Hybrid Finite Element Methods
• A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem
• A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation
• Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems
• Discontinuous Galerkin Finite Element Approximation of Nonlinear Non‐Fickian Diffusion in Viscoelastic Polymers
• Galerkin Finite Element Methods for Parabolic Problems
• RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY
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• Unnamed Item
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• Unnamed Item