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Numerical algorithms for problems in analysis and algebra, scientific computation

1 vote
1 answer
2k views

Any inequalities / estimates for a lower bound of the $L^2$ inner product of a quantity and ...

For some numerical analysis of a fluid, I am wondering if there is any inequality that provides a lower bound (in the $L^2$ norm), for the $L^2$ inner product of a quantity with its derivative. In par …
2 votes
1 answer
144 views

Resolving an inequality in the final step of derivation of an *a priori* energy estimate

I'm studying a paper (see citation below) on numerical analysis, and came across this estimate. I am unable to figure out what was done in the final step, and I am not certain if this was just a typo …