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math.NA2026
Proximal Discontinuous Galerkin Methods for Variational Inequalities
Alexandre Ern, Brendan Keith, Dohyun Kim +2
We introduce a family of proximal discontinuous Galerkin methods for variational inequalities, focusing on the obstacle problem as a didactic example. Each member of this family is…
math.NA2026
Numerical Analysis of a Coupled 3D-1D Transport Problem
Alyssa Taylor-LaPole, Uzochi Gideon, Beatrice Riviere +1
A finite element solution coupled with an interior penalty discontinuous Galerkin solution are defined for the approximation of the coupled 3D-1D solute transport problem. Under su…