Research
Wednesday, 01 August 2012 10:24

## Hierarchical construction of bounded solutions to divU = F

• This is a joint work with Eitan Tadmor.
• It has been published in a chapter of the book Nonlinear Partial Differential Equations, Volume 7 of the series Abel Symposia doi:10.1007/978-3-642-25361-4_14.

Here is an outline of the paper.

We propose a numerical approach to solve the minimization problem of the hierarchical decomposition introduced by Tadmor [Ta15], using duality to treat with $$L^{\infty}$$ norm inside. And then generate the uniformly bounded solution of $$\nabla\cdot U = F$$ in actual computation.

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