A Particle-Partition of Unity Method Part VIII: Hierarchical Enrichment

DOI10.1007/978-3-540-79994-8_16zbMath1179.65155OpenAlexW1715452MaRDI QIDQ3601910

Marc Alexander Schweitzer

Publication date: 12 February 2009

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-79994-8_16

zbMATH Keywords

preconditioningpartition of unity methodmeshfree methodextrinsic enrichment

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (4)

Generalizations of the finite element method ⋮ Stable enrichment and local preconditioning in the particle-partition of unity method ⋮ Multilevel particle-partition of unity method ⋮ An adaptive \(hp\)-version of the multilevel particle-partition of unity method

Cites Work

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• A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration
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• A Particle-Partition of Unity Method--Part III: A Multilevel Solver
• A finite element method for crack growth without remeshing
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