The Johnson-Mercier elasticity element in any dimensions
CoRR(2024)
摘要
Mixed methods for linear elasticity with strongly symmetric stresses of
lowest order are studied in this paper. On each simplex, the stress space has
piecewise linear components with respect to its Alfeld split (which connects
the vertices to barycenter), generalizing the Johnson-Mercier two-dimensional
element to higher dimensions. Further reductions in the stress space in the
three-dimensional case (to 24 degrees of freedom per tetrahedron) are possible
when the displacement space is reduced to local rigid displacements. Proofs of
optimal error estimates of numerical solutions and improved error estimates via
postprocessing and the duality argument are presented.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要