368 citations · 736 across the 32 of their papers we have counts for
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math.NA2017★ 5 cited
Numerical Artifacts in the Discontinuous Generalized Porous Medium Equation: How to Avoid Spurious Temporal Oscillations
Danielle Maddix, Luiz Sampaio, Margot Gerritsen
Numerical discretizations of the Generalized Porous Medium Equation (GPME) with discontinuous coefficients are analyzed with respect to the formation of numerical artifacts. In add…
math.NA2017★ 12 cited
Numerical Artifacts in the Generalized Porous Medium Equation: Why Harmonic Averaging Itself Is Not to Blame
Danielle Maddix, Luiz Sampaio, Margot Gerritsen
The degenerate parabolic Generalized Porous Medium Equation (GPME) poses numerical challenges due to self-sharpening and its sharp corner solutions. For these problems, we show res…