Numerical approximations for fractional elliptic equationsviathe method of semigroups

DOI10.1051/m2an/2019076zbMath1452.35237arXiv1812.01518OpenAlexW2981507660MaRDI QIDQ5108957

Félix del Teso, Luca Gerardo-Giorda, Nicole Cusimano

Publication date: 7 May 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01518

zbMATH Keywords

finite elementsheat semigroupbounded domainfractional Laplacianhomogeneous and nonhomogeneous boundary conditionsintegral quadrature

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Boundary value problems for PDEs with pseudodifferential operators (35S15) Approximate quadratures (41A55) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Fractional partial differential equations (35R11)

Related Items (5)

Fractional Laplacians : a short survey ⋮ The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains ⋮ An a posteriori error estimator for the spectral fractional power of the Laplacian ⋮ High-Order Two and Three Level Schemes for Solving Fractional Powers of Elliptic Operators ⋮ Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator

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