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Research Report MRR00-015
A Posteriori Error Estimation with the Element Method of Lines for a Nonlinear Parabolic Equation in One Space Dimension
Thanh Tran and Thanh-Binh Duong
Abstract:
A posteriori error estimates for
semidiscrete finite element methods for a nonlinear parabolic
initial-boundary problem are considered. The error estimates are
obtained by solving local parabolic or elliptic equations for
corrections to the solution on each element. The convergence
results improve previous results where unnecessary assumptions are
imposed on the approximate solution and the elliptic projection of
the exact solution.
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