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We prove a posteriori estimates in the energy norm for the deviation of an arbitrary function v from the minimizer u of the nonlinear variational problem for an integral functional… Click to show full abstract
We prove a posteriori estimates in the energy norm for the deviation of an arbitrary function v from the minimizer u of the nonlinear variational problem for an integral functional with power type integrand. The majorant M in these estimates depends only on v and data of the problem, but is independent of the exact solution u . Moreover, M = M ( v ) → 0 as v → 0 and M ( v ) = 0 only if v = u .
Keywords:
posteriori estimates;
approximations variational;
power;
estimates accuracy;
accuracy approximations;
variational problems
Journal Title: Journal of Mathematical Sciences
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Mathematical Sciences
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!