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math.NA2024
Maximal regularity of evolving FEMs for parabolic equations on an evolving surface
Genming Bai, Balázs Kovács, Buyang Li
In this paper, we prove that spatially semi-discrete evolving finite element method for parabolic equations on a given evolving hypersurface of arbitrary dimensions preserves the m…
math.NA2024★ 1 cited
Weak maximum principle of finite element methods for parabolic equations in polygonal domains
Genming Bai, Dmitriy Leykekhman, Buyang Li
The weak maximum principle of finite element methods for parabolic equations is proved for both semi-discretization in space and fully discrete methods with -step backward diffe…