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Galerkin finite element approximation of symmetric space-fractional partial differential equations. (English) Zbl 1206.65234
The paper deals with the numerical approximation of space-fractional PDE with Riesz fractional derivatives by the Galerkin FEM. The well-posedness of its weak solution and the corresponding fully discrete scheme are proved. A detailed stability and convergence analysis of the implicit Galerkin finite element fully discrete system is carried out. Three numerical examples are given.

65M60Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)
Full Text: DOI
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