cite as

Y. Zhang, J. Fisser, M. Gerritsma, A hybrid mimetic spectral element method for three-dimensional linear elasticity problems, Journal of Computational Physics 433 (2021) 110179.

.bib

@article{Zhang2021A,
    title = {A hybrid mimetic spectral element method for three-dimensional linear elasticity problems},
    journal = {Journal of Computational Physics},
    volume = {433},
    pages = {110179},
    year = {2021},
    issn = {0021-9991},
    author = {Yi Zhang and Joël Fisser and Marc Gerritsma},
    keywords = {Mimetic spectral element method, Hybridization, Domain decomposition, Variational principle, Lagrange multiplier, De Rham complex},
    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.},
}

↩️ Back to JCP paper on linear elasticity (2021).