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

Zhang, Y.; Fisser, Joël; Gerritsma, M.I.

doi:10.1016/j.jcp.2021.110179

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

Title

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

Author

Zhang, Y. (TU Delft Aerodynamics)
Fisser, Joël (Student TU Delft)
Gerritsma, M.I. (TU Delft Aerodynamics)

Date

2021

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.

Subject

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

To reference this document use:

http://resolver.tudelft.nl/uuid:b2460512-73ed-4492-8ddc-510b82c6bf63

DOI

https://doi.org/10.1016/j.jcp.2021.110179

ISSN

0021-9991

Source

Journal of Computational Physics, 433

Part of collection

Institutional Repository