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math.NA2022★ 2 cited
A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations
James H. Adler, Casey Cavanaugh, Xiaozhe Hu +2
Convection-diffusion equations arise in a variety of applications such as particle transport, electromagnetics, and magnetohydrodynamics. Simulation of the convection-dominated reg…
math.NA2022
Efficient optimization-based quadrature for variational discretization of nonlocal problems
Marco Pasetto, Zhaoxiang Shen, Marta D'Elia +3
Casting nonlocal problems in variational form and discretizing them with the finite element (FE) method facilitates the use of nonlocal vector calculus to prove well-posedeness, co…