A hybrid mimetic spectral element method for three-dimensional linear elasticity problems

Yi Zhang, Joël Fisser, Marc Gerritsma

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

We introduce a domain decomposition structure-preserving method based on a hybrid mimetic spectral element method for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The method is an equilibrium method which satisfies pointwise equilibrium of forces. The domain decomposition is established through hybridization which first allows for an inter-element normal stress discontinuity and then enforces the normal stress continuity using a Lagrange multiplier which turns out to be the displacement in the trace space. Dual basis functions are employed to simplify the discretization and to obtain a higher sparsity. Numerical tests supporting the method are presented.

Original languageEnglish
Article number110179
Number of pages20
JournalJournal of Computational Physics
Volume433
DOIs
Publication statusPublished - 2021

Keywords

  • De Rham complex
  • Domain decomposition
  • Hybridization
  • Lagrange multiplier
  • Mimetic spectral element method
  • Variational principle

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