Discontinuous mixed covolume methods for linear parabolic integrodifferential problems. (English) Zbl 1442.65401

Zhu, Ailing

J. Appl. Math. 2014, Article ID 649468, 8 p. (2014).

Summary: The semidiscrete and fully discrete discontinuous mixed covolume schemes for the linear parabolic integrodifferential problems on triangular meshes are proposed. The error analysis of the semidiscrete and fully discrete discontinuous mixed covolume scheme is presented and the optimal order error estimate in discontinuous \(H(\operatorname{div})\) and first-order error estimate in \(L^2\) are obtained with the lowest order Raviart-Thomas mixed element space.

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15	Error bounds for boundary value problems involving PDEs
65R20	Numerical methods for integral equations

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