Year: 2012
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 6 : pp. 629–642
Abstract
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 residual-based a posteriori error estimate which is $λ$-independent multiplicative constants; the Lamé constant $λ$ steers the incompressibility. The error estimators are then implemented and tested with promising numerical results which will show the competitive behavior of the adaptive algorithm.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1203-m3869
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 6 : pp. 629–642
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Adaptive finite element method Elasticity interface problems.
-
An adaptive p-FEM for three-dimensional concrete aggregate models
Guo, Ruiqi | Xiao, YingxiongInternational Journal of Modeling, Simulation, and Scientific Computing, Vol. 11 (2020), Iss. 01 P.2050004
https://doi.org/10.1142/S179396232050004X [Citations: 1] -
Semi and fully discrete error analysis for elastodynamic interface problems using immersed finite element methods
Chen, Yuan | Hou, Songming | Zhang, XuComputers & Mathematics with Applications, Vol. 147 (2023), Iss. P.92
https://doi.org/10.1016/j.camwa.2023.07.014 [Citations: 0] -
A weak Galerkin method for elasticity interface problems
Wang, Chunmei | Zhang, ShangyouJournal of Computational and Applied Mathematics, Vol. 419 (2023), Iss. P.114726
https://doi.org/10.1016/j.cam.2022.114726 [Citations: 9] -
Matched interface and boundary method for elasticity interface problems
Wang, Bao | Xia, Kelin | Wei, Guo-WeiJournal of Computational and Applied Mathematics, Vol. 285 (2015), Iss. P.203
https://doi.org/10.1016/j.cam.2015.02.005 [Citations: 18] -
A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems
Qin, Qiushuo | Song, Lina | Liu, FanComputers & Mathematics with Applications, Vol. 131 (2023), Iss. P.26
https://doi.org/10.1016/j.camwa.2022.11.020 [Citations: 17] -
NONCONFORMING SPECTRAL ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS
Kumar, N. Kishore
Journal of applied mathematics & informatics, Vol. 32 (2014), Iss. 5_6 P.761
https://doi.org/10.14317/jami.2014.761 [Citations: 0] -
Interface Problems-Fluid Structure Interaction: Description, Application and Review
Srivastav, Vivek Kumar | Thota, Srinivasarao | Kumar, Late M. | Anand, Aman RajWSEAS TRANSACTIONS ON BIOLOGY AND BIOMEDICINE, Vol. 21 (2024), Iss. P.218
https://doi.org/10.37394/23208.2024.21.22 [Citations: 1]