Strong convergence of numerical solutions to degenerate variational problems
نویسندگان
چکیده
Numerical approximations of strongly degenerate variational problems of the form J(u) = /J F{u') + (u f)2 are considered, where F is assumed convex but may have intervals where F" = 0. It is shown that, in spite of the degeneracy, natural numerical approximations still converge in Wx -p . Rates in weaker norms and the connection with nonconvex variational problems are also considered.
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تاریخ انتشار 2010