The Finite Cell Method for linear thermoelasticity

Zander, N., Kollmannsberger, S., Ruess, M. , Yosibash, Z. and Rank, E. (2012) The Finite Cell Method for linear thermoelasticity. Computers and Mathematics with Applications, 64(11), pp. 3527-3541. (doi: 10.1016/j.camwa.2012.09.002)

Abstract

The recently introduced Finite Cell Method (FCM) combines the fictitious domain idea with the benefits of high-order Finite Elements. While previous publications concentrated on single-field applications, this paper demonstrates that the advantages of the method carry over to the multi-physical context of linear thermoelasticity. The ability of the method to converge with exponential rates is illustrated in detail with a benchmark problem. A second example shows that the Finite Cell Method correctly captures the thermoelastic state of a complex problem from engineering practice. Both examples additionally verify that, also for two-field problems, Dirichlet boundary conditions can be weakly imposed on non-conforming meshes by the proposed extension of Nitsche’s Method.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Ruess, Dr Martin
• Authors: Zander, N., Kollmannsberger, S., Ruess, M., Yosibash, Z., and Rank, E.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Computers and Mathematics with Applications
• Publisher: Elsevier B.V
• ISSN: 0898-1221
• ISSN (Online): 1873-7668