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This research was supported by Dongseo University Research Grants in 2012.
Based on a mixed finite element method, we construct semidiscrete approximations of the solution u and the flux term ∇u+∇u t of the semilinear Sobolev equations. The existence and uniqueness of the semidiscrete approximations are demonstrated and the error estimates of optimal rate in L 2 normed space are derived. And also we construct the fully discrete approximations of u and ∇u+∇u t and analyze the convergence of optimal rate in L 2 normed space.
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- Error analysis of a mixed finite element approximation of the semilinear Sobolev equations
Mi Ray Ohm
Hyun Young Lee
Jun Yong Shin
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