Superconvergence Analysis of a Full-Discrete Combined Mixed Finite Element and Discontinuous Galerkin Approximation for an Incompressible Miscible Displacement Problem

Author:

Yang Jiming,Xiong Zhiguang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference28 articles.

1. Adjerid, S., Klauser, A.: Superconvergence of discontinuous finite element solutions for transient convection-diffusion problems. J. Sci. Comput. 22–23(1–3), 5–24 (2005)

2. Brandts, J.H.: Superconvergence for triangular order k=1 Raviart-Thomas mixed finite elements and for triangular standard quadratic finite element methods. Appl. Numer. Anal. 34, 39–58 (2000)

3. Brandts, J.H., Chen, Y.: Superconvergence of least-squares mixed finite elements. Int. J. Numer. Anal. Model. 3(3), 303–310 (2006)

4. Bastian, P., Riviere, B.: Superconvergence and H(div) projection for discontinuous Galerkin methods. Int. J. Numer. Methods Fluids 42, 1043–1057 (2003)

5. Castillo, P.: A superconvergence result for discontinuous Galerkin methods applied to elliptic problems. Comput. Methods Appl. Mech. Eng. 192, 4675–4685 (2003)

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