Exploiting multilevel Toeplitz structures in high dimensional nonlocal diffusion

DOI10.1007/s00791-018-00306-6arXiv1708.02526OpenAlexW2962855253WikidataQ128491909 ScholiaQ128491909MaRDI QIDQ6163773

Volker H. Schulz, Christian Vollmann

Publication date: 30 June 2023

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02526

zbMATH Keywords

finite element methodnonlocal diffusionfractional diffusiontranslation invariant kernelmultilevel Toeplitz

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (7)

Fractional centered difference scheme for high-dimensional integral fractional Laplacian ⋮ Numerical methods for nonlocal and fractional models ⋮ Efficient quadrature rules for finite element discretizations of nonlocal equations ⋮ Neural Network Method for Integral Fractional Laplace Equations ⋮ Finite element methods for fractional-order diffusion problems with optimal convergence order ⋮ A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems ⋮ Regularity analyses and approximation of nonlocal variational equality and inequality problems

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