Operadores sph sobre variedades
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Data
2017-02-20
Autores
Jesus, Enéas Mendes de
Título da Revista
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Título de Volume
Editor
Universidade Federal do Espírito Santo
Resumo
Title: SPH Operators on Manifold. This work proposes an extension of the pointbased method Smoothed Particle Hydrodynamics (SPH) to manifolds. The approach is based on a local approximation of the manifold by tangent space, provided that it is smooth enough. Since the tangent space behaves like the euclidean space, one can use the classical formulation of SPH to derive approximations of differential operatos defined on manifold. A consistency analysis of discrete differential operators is provided and them are used in some applications like to solve PDEs on surfaces.
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Palavras-chave
Discrete differential operators , Point cloud , Operadores diferenciais discretos , Surfaces , Nuvem de pontos