Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable
نویسندگان
چکیده
This paper introduces a new locking–free formulation that combines the discontinuous Galerkin methods with weakly over-penalized techniques for Reissner– Mindlin plates. We derive optimal a priori error estimates in both the energy norm and L2 norm for polynomials of degree k = 2, and we extend the results concerning the energy norm to higher-order polynomial degrees. Numerical tests confirm our theoretical predictions. Mathematics Subject Classification 65N30 · 65N15 · 74S05
منابع مشابه
Discontinuous Galerkin with Weakly Over-Penalized Techniques for Reissner-Mindlin Plates
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عنوان ژورنال:
- Numerische Mathematik
دوره 130 شماره
صفحات -
تاریخ انتشار 2015