Strong convergence of numerical solutions to degenerate variational problems
نویسندگان
چکیده
منابع مشابه
Strong convergence of numerical solutions to degenerate variational problems
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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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1995
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1995-1262281-0