Mixed methods for elastodynamics with weak symmetry
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 …
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 …
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 …
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
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 …
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 …
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 …
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 …
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 …
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