Mesh based construction of flat-top partition of unity functions

DOI10.1016/j.amc.2013.02.055zbMath1288.65167OpenAlexW2067381494MaRDI QIDQ2453247

Phill-Seung Lee, Won-Tak Hong

Publication date: 6 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.02.055

zbMATH Keywords

partition of unitygeneralized finite element method (GFEM)flat-top

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

Enriched meshfree method for an accurate numerical solution of the Motz problem ⋮ Augmented numerical manifold method with implementation of flat-top partition of unity ⋮ Simulating stress wave with flat-top partition of unity based high-order discontinuous deformation analysis ⋮ Effects of the smoothness of partitions of unity on the quality of representation of singular enrichments for GFEM/XFEM stress approximations around brittle cracks ⋮ A unified enrichment approach addressing blending and conditioning issues in enriched finite elements ⋮ Proof of linear independence of flat-top PU-based high-order approximation ⋮ Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization ⋮ A non-convex partition of unity and stress analysis of a cracked elastic medium

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