27 citations · 35 across the 7 of their papers we have counts for
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A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media
Maurice S. Fabien, Matthew G. Knepley, Beatrice M. Riviere
We present a new method for approximating solutions to the incompressible miscible displacement problem in porous media. At the discrete level, the coupled nonlinear system has bee…
Comparative study of finite element methods using the Time-Accuracy-Size (TAS) spectrum analysis
Justin Chang, Maurice S. Fabien, Matthew G. Knepley +1
We present a performance analysis appropriate for comparing algorithms using different numerical discretizations. By taking into account the total time-to-solution, numerical accur…
A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media
Maurice S. Fabien, Matthew G. Knepley, Beatrice M. Riviere
We present a new method for simulating incompressible immiscible two-phase flow in porous media. The semi-implicit method decouples the wetting phase pressure and saturation equati…