# A Full Multi-grid Method for the Solution of the Cell Vertex Finite Volume Cauchy{riemann Equations

@inproceedings{BorzAFM, title={A Full Multi-grid Method for the Solution of the Cell Vertex Finite Volume Cauchy\{riemann Equations}, author={A. Borz} }

SUMMARY The system of inhomogeneous Cauchy{Riemann equations deened on a square domain and subject to Dirichlet boundary conditions is considered. This problem is discretised by using the cell vertex nite volume method on quadrilateral meshes. The resulting algebraic problem is overdetermined and the solution is deened in a least squares sense. By this approach a consistent algebraic problem is obtained which diiers from the original one by O(h 2) perturbations of the right-hand side. A…

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