Title
A New Finite Element Analysis for Inhomogeneous Boundary-Value Problems of Space Fractional Differential Equations
Abstract
In this paper the framework and convergence analysis of finite element methods (FEMs) for space fractional differential equations (FDEs) with inhomogeneous boundary conditions are studied. Since the traditional framework of Gakerkin methods for space FDEs with homogeneous boundary conditions is not true any more for the case of inhomogeneous boundary conditions, this paper develops a technique by introducing a new fractional derivative space in which the Galerkin method works and proves the convergence rates of the FEMs.
Year
DOI
Venue
2017
10.1007/s10915-015-0082-8
J. Sci. Comput.
Keywords
Field
DocType
Fractional differential equations, Galerkin methods, Finite element methods, Convergence analysis, 35S15, 65N30, 65N12, 65N15
Discontinuous Galerkin method,Differential equation,Boundary value problem,Mathematical optimization,Mathematical analysis,Galerkin method,Extended finite element method,Numerical partial differential equations,Finite element method,Fractional calculus,Mathematics
Journal
Volume
Issue
ISSN
70
1
1573-7691
Citations 
PageRank 
References 
0
0.34
8
Authors
1
Name
Order
Citations
PageRank
Jingtang Ma112012.98