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| SENSITIVITY OF DARCY’S LAWTO DISCONTINUITIES |
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Citation： |
C. BERNARDI,O. PIRONNEAU.SENSITIVITY OF DARCY’S LAWTO DISCONTINUITIES[J].Chinese Annals of Mathematics B,2003,24(2):205~214 |
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Net amount： 683 |
Authors： |
C. BERNARDI; O. PIRONNEAU |
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| Abstract： |
The authors investigate the sensitivity of hydrostatic pressure of
flows through porous media with respect to the position of the
soil layers. Indeed, these induce discontinuities of the porosity
which is a piecewise constant coefficient $\kappa$ of the partial
differential equation satisfied by the pressure $u$ and it leads
to the computation of the derivative of $u$ with respect to
changes in position of discontinuity surface of $\kappa$.
The analysis relies on a mixed formulation of the
problem.Preliminary numerical simulations are given to illustrate
the theory. An application to a simple inverse problem is also
given. |
Keywords： |
Partial differential equations, Flow through porous media, Sensitivity, Darcy’s equation, topplogical optimization |
Classification： |
35Q35 |
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