A Posteriori Error Estimation for the Finite Element Method-of-lines Solution of Parabolic Problems
نویسندگان
چکیده
Babu ska and Yu constructed a posteriori estimates for nite element dis-cretization errors of linear elliptic problems utilizing a dichotomy principal stating that the errors of odd-order approximations arise near element edges as mesh spacing decreases while those of even-order approximations arise in element interiors. We construct similar a posteriori estimates for the spatial errors of nite element method-of-lines solutions of linear parabolic partial diierential equations on square-element meshes. Error estimates computed in this manner are proven to be asymptotically correct; thus, they converge in strain energy under mesh reenement at the same rate as the actual errors.
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