A fractional Laplace equation: Regularity of solutions and finite element approximations

This paper deals with the integral version of the Dirichlet homogeneous fractional Laplace equation. For this problem weighted and fractional Sobolev a priori estimates are provided in terms of the Holder regularity of the data. By relying on these results, optimal order of convergence for the stand...

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Detalles Bibliográficos
Autores principales: Acosta, G., Borthagaray, J.P.
Formato: JOUR
Materias:
Finite elements
Fractional Laplacian
Graded meshes
Weighted fractional norms
Integrodifferential equations
Laplace equation
Laplace transforms
Nonlinear equations
Poisson equation
A-priori estimates
Finite element approximations
Linear finite elements
Optimal order of convergence
Regularity of solutions
Finite element method
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00361429_v55_n2_p472_Acosta
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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