Numerical Computations of the PCD Method
نویسندگان
چکیده
abstract: The PCD (piecewise constant distributions) method is a discretization technique of the boundary value problems in which the unknown distribution and its derivatives are represented by piecewise constant distributions but on distinct meshes. It has the advantage of producing the most sparse stiffness matrix resulting from the approximate problem. In this contribution, we propose a general triangulation with the PCD method by combining rectangular elements and triangular elements. We also apply this discretization technique for the 2D elasticity problem. We conclude by presenting the numerical results of the proposed method for the 2D diffusion equation.
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