Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable
نویسندگان
چکیده
A standard Galerkin method for a quasilinear equation of Sobolev type using continuous, piecewise-polynomial spaces is presented and analyzed. Optimal order error estimates are established in various norms, and nodal superconvergence is demonstrated. Discretization in time by explicit single-step methods is discussed.
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تاریخ انتشار 2010