Weak maximum principle of finite element methods for parabolic equations
in polygonal domains
Weak maximum principle of finite element methods for parabolic equations
in polygonal domains
The weak maximum principle of finite element methods for parabolic equations is proved for both semi-discretization in space and fully discrete methods with $k$-step backward differentiation formulae for $k = 1,... ,6$, on a two-dimensional general polygonal domain or a three-dimensional convex polyhedral domain. The semi-discrete result is established via …