Fundamental Areas / Numerical Analysis of Partial Differential Equations
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.