L1ssandra / DG-and-WENO-Maximum-Limiter

The Maximum Limiter to contorl the value of u(x) in the range of [m,M]

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对于一维和二维的双曲守恒律 u_t + \nabla·f(u) = 0,极值原理表明:如果初值满足u0(x)∈[m,M],\forall x,则在任意时刻有u(x,t)∈[m,M],\forall x,t。 这个程序复现了文献中的保极值限制器,用DG做了二维的一些例子,WENO做了一维的一些例子。

Reference: Xiangxiong Zhang and Chi-Wang Shu, On maximum-principle-satisfying high order schemes for scalar conservation laws.

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The Maximum Limiter to contorl the value of u(x) in the range of [m,M]