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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 ...
Local nonobtuse tetrahedral refinements around an edge
In this note we show how to generate and conformly refine nonobtuse tetrahedral meshes locally around and towards an edge so that all dihedral angles of all resulting tetrahedra remain nonobtuse. The proposed technique can ...
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance ...