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

Journal article (2021)

Authors

Y. Zhang Aerodynamics - Aerospace Engineering
Joël Fisser Student
M.I. Gerritsma Aerodynamics - Aerospace Engineering
Research Group
Aerodynamics (Aerospace Engineering) (TU Delft)
Copyright: © 2021 Y. Zhang, Joël Fisser, M.I. Gerritsma
DOI: https://doi.org/10.1016/j.jcp.2021.110179
More Info
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Published Date

2021

Language

English

Faculty

Aerospace Engineering

Department

Flow Physics and Technology

Research Group

Aerodynamics

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.