Problemas inversos sobre a esfera / Inverse problems of the sphere

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

The objective of this thesis is the development of algorithms to determine the solutions, and for determination of sources of, the equations of Poisson and heat conduction for a sphere. We establish the form of equations of Poisson and heat on the sphere, and developed iterative methods, based on a icosaedral mesh and its dual mesh, to obtain the solutions for them. It is shown that the iterative methods converge to the solutions of the equations discretizadas. It employed the method of settlement of Alifanov iterated to solve the inverse problem, determination of source, set in the sphere.

ASSUNTO(S)

differential equations, partial - numerical solutions métodos iterativos (matemática) esfera - problemas inversos (equações diferenciais) malha icosaedral icosaedral grid sphere - inverse problems (differential equations) equações diferenciais parciais soluções numéricas heat equation iterative methods (mathematics) matematica aplicada equação de calor

ACESSO AO ARTIGO

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