Strong convergence of numerical solutions to degenerate variational problems
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- by R. A. Nicolaides and Noel J. Walkington PDF
- Math. Comp. 64 (1995), 117-127 Request permission
Abstract:
Numerical approximations of strongly degenerate variational problems of the form $J(u) = \smallint _0^1F(u’ ) + {(u - f)^2}$ 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 ${W^{1,p}}$. Rates in weaker norms and the connection with nonconvex variational problems are also considered.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Math. Comp. 64 (1995), 117-127
- MSC: Primary 65N15; Secondary 65K10, 65N12
- DOI: https://doi.org/10.1090/S0025-5718-1995-1262281-0
- MathSciNet review: 1262281