Parallel BURA Based Numerical Solution of Fractional Laplacian with Pure Neumann Boundary Conditions

DOI10.1007/978-3-030-41032-2_32OpenAlexW3006142175MaRDI QIDQ3297714

Yavor Vutov, Gergana Bencheva, Nikola Kosturski

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-41032-2_32

zbMATH Keywords

unstructured meshesNeumann boundary conditionsparallel algorithmfractional diffusionBURA

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items (1)

Neumann fractional diffusion problems: BURA solution methods and algorithms

Uses Software

• hypre
• ParMETIS
• NGSolve

Cites Work

• Unnamed Item
• Numerically solving an equation for fractional powers of elliptic operators
• A unified view of some numerical methods for fractional diffusion
• Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1\)]
• The Fractional Laplacian
• Optimal solvers for linear systems with fractional powers of sparse SPD matrices
• Iterative Solution Methods
• Numerical approximation of fractional powers of elliptic operators
• Multilevel methods for nonuniformly elliptic operators and fractional diffusion

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