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Some discrete maximum principles arising for nonlinear elliptic finite element problems
The discrete maximum principle (DMP) is an important measure of the qualitative reliability of the applied numerical scheme for elliptic problems. This paper starts with formulating simple sufficient conditions for the ...
On continuous and discrete maximum principles for elliptic problems with the third boundary condition
In this work, we present and discuss some continuous and discrete maximum principles for linear elliptic problems of the second order with the third boundary condition (almost never addressed to in the available literature ...