A Reissner–Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations

A Sky, M Neunteufel, JS Hale, A Zilian - Computer Methods in Applied …, 2023 - Elsevier
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 …

Hybridized discontinuous Galerkin/hybrid mixed methods for a multiple network poroelasticity model with application in biomechanics

J Kraus, PL Lederer, M Lymbery, K Osthues… - SIAM Journal on …, 2023 - SIAM
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 …

Mixed stabilized finite element methods in linear elasticity for the velocity–stress equations in the time and the frequency domains

A Fabra, R Codina - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
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 …

Analysis of weakly symmetric mixed finite elements for elasticity

P Lederer, R Stenberg - Mathematics of Computation, 2024 - ams.org
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 …

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 …

[PDF][PDF] THE JOHNSON-MERCIER-KˇRÍZEK ELASTICITY ELEMENT IN ANY DIMENSIONS

JAY GOPALAKRISHNAN, J GUZMÁN, JJ LEE - 2024 - pdx.edu
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 …

The Johnson-Mercier elasticity element in any dimensions

J Gopalakrishnan, J Guzman, JJ Lee - arxiv preprint arxiv:2403.13189, 2024 - arxiv.org
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 …

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 …