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Generalized finite-differences solution of 3D elliptical problems involving Neumann boundary conditions
V. Pennati,
S. Corti,
V. Pennati
Centre for Hydraulics and Structural Research — ENEL, via Ornato 90/14, 20162 Milano, Italy
Search for more papers by this authorS. Corti
Centre for Hydraulics and Structural Research — ENEL, via Ornato 90/14, 20162 Milano, Italy
Search for more papers by this authorV. Pennati,
S. Corti,
V. Pennati
Centre for Hydraulics and Structural Research — ENEL, via Ornato 90/14, 20162 Milano, Italy
Search for more papers by this authorS. Corti
Centre for Hydraulics and Structural Research — ENEL, via Ornato 90/14, 20162 Milano, Italy
Search for more papers by this authorAbstract
A method is presented for the solution of elliptical problems defined on general-shape multiconnected three-dimensional domains approximated by means of polyhedra. The boundary conditions may be of the Neumann type. The differential operator and the normal derivative are discretized by generalized finite-difference (GFD) methods using an orthogonal non-uniform Cartesian grid. The convergence properties are analysed and the solutions of some Poisson and biharmonic problem are presented.
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