A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem
نویسندگان
چکیده
Abstract. A numerical method for a two-dimensional curl-curl and grad-div problem is studied in this paper. It is based on a discretization using weakly continuous P1 vector fields and includes two consistency terms involving the jumps of the vector fields across element boundaries. Optimal convergence rates (up to an arbitrary positive ) in both the energy norm and the L2 norm are established on graded meshes. The theoretical results are confirmed by numerical experiments.
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ورودعنوان ژورنال:
- Numerische Mathematik
دوره 109 شماره
صفحات -
تاریخ انتشار 2008