A Reissner–Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations
In this work we develop new finite element discretisations of the shear-deformable Reissner–
Mindlin plate problem based on the Hellinger–Reissner principle of symmetric stresses …
Mindlin plate problem based on the Hellinger–Reissner principle of symmetric stresses …
Hybridized discontinuous Galerkin/hybrid mixed methods for a multiple network poroelasticity model with application in biomechanics
The quasi-static multiple-network poroelastic theory (MPET) model, first introduced in the
context of geomechanics [G. Barenblatt, G. Zheltov, and I. Kochina, J. Appl. Math. Mech., 24 …
context of geomechanics [G. Barenblatt, G. Zheltov, and I. Kochina, J. Appl. Math. Mech., 24 …
Mixed stabilized finite element methods in linear elasticity for the velocity–stress equations in the time and the frequency domains
In this work we present stabilized finite element methods for the mixed velocity–stress
elasticity equations and for its irreducible velocity form. This is done both for the time and …
elasticity equations and for its irreducible velocity form. This is done both for the time and …
Analysis of weakly symmetric mixed finite elements for elasticity
We consider mixed finite element methods for linear elasticity where the symmetry of the
stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are given for …
stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are given for …
Research of generalized mixed hexahedral finite element method based on volume coordinates
L He, Y Liu, G Qing - Mechanics of Advanced Materials and …, 2024 - Taylor & Francis
The sensitivity of isoparametric elements to mesh distortions has not been sufficiently
addressed. Based on the generalized HR variational principle, the formula of the hexahedral …
addressed. Based on the generalized HR variational principle, the formula of the hexahedral …
[PDF][PDF] THE JOHNSON-MERCIER-KˇRÍZEK ELASTICITY ELEMENT IN ANY DIMENSIONS
Mixed methods for linear elasticity with strongly symmetric stresses of lowest order are
studied in this paper. On each simplex, the stress space has piecewise linear components …
studied in this paper. On each simplex, the stress space has piecewise linear components …
The Johnson-Mercier elasticity element in any dimensions
Mixed methods for linear elasticity with strongly symmetric stresses of lowest order are
studied in this paper. On each simplex, the stress space has piecewise linear components …
studied in this paper. On each simplex, the stress space has piecewise linear components …
Asymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problems
PL Lederer - BIT Numerical Mathematics, 2023 - Springer
We derive optimal and asymptotically exact a posteriori error estimates for the approximation
of the eigenfunction of the Laplace eigenvalue problem. To do so, we combine two results …
of the eigenfunction of the Laplace eigenvalue problem. To do so, we combine two results …