A new C discontinuous Galerkin method for Kirchhoff plates
نویسندگان
چکیده
A general framework of constructing C discontinuous Galerkin (CDG) methods is developed for solving the Kirchhoff plate bending problem, following some ideas in [10, 12]. The numerical traces are determined based on a discrete stability identity, which lead to a class of stable CDG methods. A stable CDGmethod, called the LCDGmethod, is particularly interesting in our study. It can be viewed as an extension to fourth-order problems of the LDG method studied in [10, 12]. For this method, optimal order error estimates in certain broken energy norm and H-norm are established. Some numerical results are reported, confirming the theoretical convergence orders.
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