Abstract
We consider a number of computational features of two-dimensional Lagrangian schemes on triangular grids: loss of approximation near the axis (cylindrical symmetry) and measures to counteract this effect; approximation and operator interpretation at corner points where the type of the boundary conditions changes; loss of stability with free approximation of type II boundary conditions; distortion of the Lagrangian grid associated with first-order accuracy on the boundary of an irregular grid.
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