The Finite Cell Method for linear thermoelasticity

N. Zander*, S. Kollmannsberger, M. Ruess, Z. Yosibash, E. Rank

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

57 Scopus citations

Abstract

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-conformi ng meshes by the proposed extension of Nitsche's Method.

Original languageEnglish
Article number7131
Pages (from-to)3527-3541
Number of pages15
JournalComputers and Mathematics with Applications
Volume64
Issue number11
DOIs
StatePublished - 1 Dec 2012
Externally publishedYes

Funding

FundersFunder number
Deutsche ForschungsgemeinschaftRA 624/19-1

    Keywords

    • Fictitious domain methods
    • Finite Cell Method (FCM)
    • Linear thermoelasticity
    • Multi-physical problems
    • Nitsche's method
    • Weak boundary conditions

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