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math.NA2023★ 2 cited
On the monotonicity of spectral element method for Laplacian on quasi-uniform rectangular meshes
Logan J. Cross, Xiangxiong Zhang
The monotonicity of discrete Laplacian implies discrete maximum principle, which in general does not hold for high order schemes. The spectral element method has been proven…
math.NA2020
Monotonicity of spectral element method for discrete Laplacian
Logan J. Cross, Xiangxiong Zhang
The monotonicity of discrete Laplacian, i.e., inverse positivity of stiffness matrix, implies discrete maximum principle, which is in general not true for high order accurate schem…