Convergence of the Nonconforming Wilson Element for a Class of Nonlinear Parabolic Problems
نویسنده
چکیده
This paper deals with the convergence properties of the nonconforming quadrilateral Wilson element for a class of nonlinear parabolic problems in two space dimensions. Optimal H and L2 error estimates for the continuous time Galerkin approximations are derived. It is also shown for rectangular meshes that the gradient of the Wilson element solution possesses superconvergence, and that the Lx error on the gradient is of order h log( 1 ¡h).
منابع مشابه
Nonconforming Wilson Element for a Class of Nonlinear Parabolic Problems
This paper deals with the convergence properties of the nonconforming quadrilateral Wilson element for a class of nonlinear parabolic problems in two space dimensions. Optimal H and L2 error estimates for the continuous time Galerkin approximations are derived. It is also shown for rectangular meshes that the gradient of the Wilson element solution possesses superconvergence, and that the Lx er...
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