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Mixed Finite Element Methods for Linear Elasticity on Curved Domains
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DOI：10.1007/s10915-026-03426-1.png)
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Abstract
En 中文
This paper extends the Hu–Zhang element for linear elasticity to curved domains, preserving strong symmetry and $$H(\operatorname {div})$$ -conformity. The non-polynomial structure of the curved Hu–Zhang element makes it difficult to analyze the stability, which is overcome by establishing a novel inf-sup condition. Optimal convergence rates are achieved for all variables except for the stress in the $$L^2$$ -norm. This suboptimality originates from the fact that the divergence space of the curved Hu–Zhang element is not contained in the discrete displacement space, which is improved by local p-enrichment on boundary elements. Some numerical experiments validate the theoretical results.
Keywords:
Linear elasticity
Hu–Zhang element
Parametric finite element
Inf-sup condition
Convergence analysis
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3.3
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652
Citations:
9.6K
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