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Conforming/Non-conforming Virtual Elements and applicatio...
[Submitted on 27 May 2026] · 2026-05-28 · via cs updates on arXiv.org

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Abstract:The Virtual Element Method (VEM) is a well-established framework for solving partial differential equations on polygonal and polyhedral meshes. In this paper, we introduce a novel hybrid VEM that integrates both conforming and nonconforming virtual spaces. We apply this formulation to a three-dimensional linear elasticity problem, providing rigorous theoretical analysis to demonstrate optimal convergence rates. Furthermore, we explore the extension of this approach to domains with curved boundaries.

Submission history

From: Manuel Luigi Trezzi [view email]
[v1] Wed, 27 May 2026 06:45:20 UTC (1,871 KB)