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

被引：2

作者：

Zhang, Yi ^{[1
]}

Fisser, Joel ^{[1
]}

Gerritsma, Marc ^{[1
]}

机构：

[1] Delft Univ Technol, Fac Aerosp Engn, Kluyverweg 1, NL-2629 HS Delft, Netherlands

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2021年 / 433卷

关键词：

Mimetic spectral element method; Hybridization; Domain decomposition; Variational principle; Lagrange multiplier; De Rham complex; EXTERIOR CALCULUS; CONSTRUCTION; PRINCIPLES; SPACES; FORMS;

D O I：

10.1016/j.jcp.2021.110179

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (C) 2021 The Author(s). Published by Elsevier Inc.

引用

页数：20

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