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math.NA2024
Positivity and Maximum Principle Preserving Discontinuous Galerkin Finite Element Schemes for a Coupled Flow and Transport
Shihua Gong, Young-Ju Lee, Yukun Li +1
We introduce a new concept of the locally conservative flux and investigate its relationship with the compatible discretization pioneered by Dawson, Sun and Wheeler [11]. We then d…
math.NA2021★ 1 cited
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equation with Multiplicative Noise
Yukun Li, Shuonan Wu, Yulong Xing
Wave propagation problems have many applications in physics and engineering, and the stochastic effects are important in accurately modeling them due to the uncertainty of the medi…