High-Order Two and Three Level Schemes for Solving Fractional Powers of Elliptic Operators

DOI10.1007/978-3-030-55874-1_27zbMath1470.65165OpenAlexW3157141901MaRDI QIDQ5152816

Raimondas Čiegis, Petr N. Vabishchevich

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_27

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11) Elliptic operators and their generalizations (47F10)

Cites Work

• Numerically solving an equation for fractional powers of elliptic operators
• Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators
• A unified view of some numerical methods for fractional diffusion
• High order numerical schemes for solving fractional powers of elliptic operators
• A PDE approach to fractional diffusion in general domains: a priori error analysis
• $hp$-Finite Elements for Fractional Diffusion
• Numerical approximations for fractional elliptic equationsviathe method of semigroups
• Numerical approximation of fractional powers of elliptic operators
• Numerical methods for fractional diffusion

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