Print Email Facebook Twitter 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 complexDomain decompositionHybridizationLagrange multiplierMimetic spectral element methodVariational 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 Document type journal article Rights © 2021 Y. Zhang, Joël Fisser, M.I. Gerritsma Files PDF 1_s2.0_S0021999121000747_main.pdf 972.86 KB Close viewer /islandora/object/uuid:b2460512-73ed-4492-8ddc-510b82c6bf63/datastream/OBJ/view