Explicit Estimation of Error Constants Appearing in Non-Conforming Linear Triangular Finite Element Method
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The non-conforming linear (P1) triangular FEM can be viewed as a kind of the discontinuous Galerkin method, and is attractive in both the theoretical and practical purposes. Since various error constants must be quantitatively evaluated for its accurate a priori and a posteriori error estimates, we derive their theoretical upper bounds and some computational results. In particular, the Babuška-Aziz maximum angle condition is required just as in the case of the conforming P1 triangle. Some applications and numerical results are also included to see the validity and effectiveness of our analysis.
KeywordsFEM non-conforming linear triangle a priori error estimate a posteriori error estimate error constant Raviart-Thomas element
MSC 201065N15 65N30
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