Embedding Enriched Partition of Unity Approximations in Finite Element Simulations

DOI10.1007/978-3-319-51954-8_10zbMath1404.65278OpenAlexW2604895329MaRDI QIDQ4554201

Albert Ziegenhagel, Marc Alexander Schweitzer

Publication date: 13 November 2018

Published in: Meshfree Methods for Partial Differential Equations VIII (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51954-8_10

zbMATH Keywords

partition of unity methodmeshfree techniquesclassical finite element simulations

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Uses Software

• FEniCS
• PUMA

Cites Work

• Generalizations of the finite element method
• Stable enrichment and local preconditioning in the particle-partition of unity method
• The partition of unity finite element method: basic theory and applications
• A parallel multilevel partition of unity method for elliptic partial differential equations
• Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
• THE PARTITION OF UNITY METHOD
• Partition of unity method on nonmatching grids for the Stokes problem

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