Mixed methods for elastodynamics with weak symmetry

DN Arnold, JJ Lee - SIAM Journal on Numerical Analysis, 2014 - SIAM
We analyze the application to elastodynamic problems of mixed finite element methods for
elasticity with weakly imposed symmetry of stress. Our approach leads to a semidiscrete …

[HTML][HTML] Mixed virtual element methods for elastodynamics with weak symmetry

B Zhang, Y Yang, M Feng - Journal of Computational and Applied …, 2019 - Elsevier
We propose and analyze a mixed virtual element method for linear elastodynamics in
velocity–stress formulation with weak symmetry. In this formulation, the symmetry of the …

Stabilized mixed finite element method for a quasistatic Maxwell viscoelastic model

Y Min, M Feng - Applied Numerical Mathematics, 2023 - Elsevier
This paper considers a stabilized mixed finite element method (MFE) for a quasistatic
Maxwell viscoelastic model based on the L 2 (Ω)× H 1 (Ω) variational framework. The spatial …

Multipoint stress mixed finite element methods for linear viscoelasticity with weak symmetry

Y Wang, S Sun - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
In this paper, we propose two Multipoint Stress Mixed Finite Element (MSMFE) methods for
linear viscoelasticity with weak symmetry on quadrilateral grids. The methods are …

Semi-discrete and fully discrete weak Galerkin finite element methods for a quasistatic Maxwell viscoelastic model

J Xiao, Z Zhu, X Xie - arXiv preprint arXiv:2202.09951, 2022 - arxiv.org
This paper considers weak Galerkin finite element approximations for a quasistatic Maxwell
viscoelastic model. The spatial discretization uses piecewise polynomials of degree …

Semi-discrete and fully discrete mixed finite element methods for Maxwell viscoelastic model of wave propagation

H Yuan, X Xie - arXiv preprint arXiv:2101.09152, 2021 - arxiv.org
Semi-discrete and fully discrete mixed finite element methods are considered for Maxwell-
model-based problems of wave propagation in linear viscoelastic solid. This mixed finite …

Application of mixed finite elements to spatially non-local model of inelastic deformations

EV Vtorushin - GEM-International Journal on Geomathematics, 2016 - Springer
Rock behaviour frequently does not fit the classical theory of continuum mechanics because
of rock aggregated granular structure. Particularly, rock fracturing may be accompanied by …

Optimal second order rectangular elasticity elements with weakly symmetric stress

M Juntunen, J Lee - BIT Numerical Mathematics, 2014 - Springer
We present new second order rectangular mixed finite elements for linear elasticity where
the symmetry condition on the stress is imposed weakly with a Lagrange multiplier. The key …

[引用][C] A port-Hamiltonian formulation of flexible structures. Modelling and structure-preserving finite element discretization

A Brugnoli - 2020