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- Title
The Time Discontinuous H<sup>1</sup>-Galerkin Mixed Finite Element Method for Linear Sobolev Equations.
- Authors
Yu, Hong; Sun, Tongjun; Li, Na
- Abstract
We combine the H1-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized. The approximate schemes are established to get the approximate solutions by a piecewise polynomial of degree at most q-1 with the time variable. The existence and uniqueness of the solutions are proved, and the optimal H1-norm error estimates are derived. We get high accuracy for both the space and time variables.
- Subjects
DISCONTINUOUS functions; GALERKIN methods; FINITE element method; LINEAR equations; APPROXIMATION theory
- Publication
Discrete Dynamics in Nature & Society, 2015, Vol 2015, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2015/618258