12 citations · 23 across the 5 of their papers we have counts for
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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…
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…
Variable relaxed schemes for multidimensional hyperbolic conservation laws
Shalini Krishnamurthy, Margot Gerritsen
We present a new class of component-wise numerical schemes that are in the family of relaxation formulations, originally introduced by [S. Jin and Z. P. Xin, Comm. Pure Appl. Math.…