An a posteriori error estimate and a Comparison Theorem for the nonconforming P 1 element
نویسنده
چکیده
A posteriori error estimates for the nonconforming P1 element are easily determined by the hypercircle method via Marini’s observation on the relation to the mixed method of Raviart–Thomas. Another tool is Ainsworth’s application of the hypercircle method to mixed methods. The relation on the finite element solutions is also extended to an a priori relation of the errors, and the errors of four different finite element methods can be compared. AMS subject classification: 65N55, 65N30.
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تاریخ انتشار 2010