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Fundamental Areas / Numerical Analysis of Partial Differential Equations

10 October 2014: Adaptive numerical solution of the Darcy equations with pressure dependent porosity

The figure on the left shows the decay of the total error with respect to the number of degrees of freedom (for the quasi-uniform and adaptive refinement strategies) when a mixed finite element method is employed to solve the Darcy equations with pressure dependent porosity. Some of the adapted meshes are displayed on the right. Further details are available in:

Gatica, G.N., Ruiz-Baier, R. and Tierra, G.: A mixed finite element method for Darcy's equations with pressure dependent porosity. Preprint 2014-06, Centro de Investigacion en Ingenieria Matematica (CI²MA), Universidad de Concepcion, (2014). To appear in Mathematics of Computation.

 

 

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