Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary
IMA Journal of Numerical Analysis（2020）
Abstract
The maximum principle forms an important qualitative property of second-order elliptic equations; therefore, its discrete analogues, the so-called discrete maximum principles (DMPs), have drawn much attention owing to their role in reinforcing the qualitative reliability of the given numerical scheme. In this paper DMPs are established for nonlinear finite element problems on surfaces with boundar...
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Key words
nonlinear elliptic problems on surfaces,maximum principles,discrete maximum principles,Riemannian manifolds,surface finite element method,simplicial mesh
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