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math.NA2024
High-order finite element methods for three-dimensional multicomponent convection-diffusion
Aaron Baier-Reinio, Patrick E. Farrell
We derive and analyze a broad class of finite element methods for numerically simulating the stationary, low Reynolds number flow of concentrated mixtures of several distinct chemi…
math.NA2024★ 2 cited
Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables
Boris D. Andrews, Patrick E. Farrell
We propose a general strategy for enforcing multiple conservation laws and dissipation inequalities in the numerical solution of initial value problems. The key idea is to represen…