Abstract
The purpose of this work is to solve in the plane Tricomi's equation of mixed type by means of global least-square formulation. The resolution is obtained with Zienkiewicz's finite element which verifies the patch test, and the incomplete Cholesky conjugate gradient algorithm (ICCG) yields very fast convergence. The least-square formulation is still applicable when a non-linear term is introduced, and the solution is searched for by Newton's method.
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