A nonlinear finite volume scheme preserving maximum principle for diffusion equation
A/Prof. Zhi-Qiang Sheng
Institute of Applied Physics and Computational Mathematics

The maximum principle is one of the key requirements to discretization schemes, and can ensure that there is no spurious oscillations for the numerical solution and preserve physical bounds of problem. In this talk, we first introduce a new nonlinear finite volume scheme satisfying the maximum principle for the diffusion equation on distorted meshes, and then introduce the corresponding theoretical analysis including the coercivity, existence and convergence. Numerical results are presented to demonstrate the properties of our scheme.

About the Speaker


2019-09-17 9:30 AM
Room: A203 Meeting Room
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