BS acknowledges the funding from the German Academic Exchange Service(DAAD)from funds of the Bundesministeriums fur Bildung und Forschung(BMBF)for the project Aa-Par-T(Project-ID 57317909);SX acknowledges the funding from the PICSCNRS as well as the PHC PROCOPE 2017(Project N37855ZK).
This articles first investigates boundary integral operators for the three-dimensional isotropic linear elasticity of a biphasic model with piecewise constant Lam´e coefficients in the form of a bounded domain of arb...
This work is partially supported by National Natural Science Foundation of China(No.12001170);Key Scientific Research Projects in Colleges and Universities in Henan Province(No.21A110009);Research Foundation for Advanced Talents of Henan University of Technology(No.2018BS013).
Based on the primal mixed variational formulation,a stabilized nonconforming mixed finite element method is proposed for the linear elasticity on rectangular and cubic meshes.Two kinds of penalty terms are introduced ...
This work was supported by Simons Foundation Collaboration Grant[351025]。
A general stochastic algorithm for solving mixed linear and nonlinear problems was introduced in[11].We show in this paper how it can be used to solve the fault inverse problem,where a planar fault in elastic half-spa...
A mixed finite element method combining an iso-parametric Q 2-P 1 element and an isoparametric P^-Pi element is developed for the computation of multiple cavities in incompressible nonlinear elasticity. The method is ...
In this paper, we discuss an adaptive hybrid stress finite element method on quadri- lateral meshes for linear elasticity problems. To deal with hanging nodes arising in the adaptive mesh refinement, we propose new tr...
In this paper, we consider the linear elasticity problem based on the Hellinger-Reissner variational principle. An O(h2) order superclose property for the stress and displacement and a global superconvergence result...
In this paper, we propose adaptive finite element methods with error control for solving elasticity problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. We establish a...
Acknowledgments. This work was supported by National Natural Science Foundation of China (No. 10971203), Specialized Research Fund for the Doctoral Program of Higher Education (No. 20094101110006), the Educational Department Foundation of Henan Province of China (No.2009B110013).
The main aim of this paper is to study the nonconforming linear triangular Crouzeix- Raviart type finite element approximation of planar linear elasticity problem with the pure displacement boundary value on anisotrop...
The exact boundary condition on a spherical artificial boundary is derived for the three-dimensional exterior problem of linear elasticity in this paper. After this boundary condition is imposed on the artificial boun...
Based on the analysis of [7] and [10], we present the mixed finite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stress and displacem...