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Generalized finite-differences solution of 3D elliptical problems involving Neumann boundary conditions (1994)

Pennati, V. ; Corti, S.

Chichester : Wiley-Blackwell

Communications in Numerical Methods in Engineering 10 (1994), S. 43-58

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ISSN: 1069-8299

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: 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.

Additional Material: 7 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/cnm.1640100106

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