Displaying similar documents to “Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations”

Numerical solutions for second-kind Volterra integral equations by Galerkin methods

Shu Hua Zhang, Yan Ping Lin, Ming Rao (2000)

Applications of Mathematics

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In this paper, we study the global convergence for the numerical solutions of nonlinear Volterra integral equations of the second kind by means of Galerkin finite element methods. Global superconvergence properties are discussed by iterated finite element methods and interpolated finite element methods. Local superconvergence and iterative correction schemes are also considered by iterated finite element methods. We improve the corresponding results obtained by collocation methods in...