Preprint
Sep 2026
An interior penalty nonconforming finite element method for strain gradient elasticity
An interior penalty nonconforming finite element method is developed for a strain gradient elasticity (SGE) model in arbitrary dimensions, using an $H^1$-nonconforming displacement element built from vector-valued quadratic polynomials enriched by divergence-free face bubbles. Rigorous analysis establishes optimal and...
Xue-Hai Huang, Zhe-Qian Tang
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