A Meshless Manifold Method for Solving the Inverse Heat Conduction Problems

Hong Fen Gao; Gao Feng Wei

doi:10.4028/www.scientific.net/AMR.749.131

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 749A Meshless Manifold Method for Solving the Inverse...

A Meshless Manifold Method for Solving the Inverse Heat Conduction Problems

Abstract:

In this paper the meshless manifold method is used to obtain the solution of an inverse heat conduction problem with a source parameter. Compared with the numerical methods based on mesh, such as finite element method and boundary element method, the meshless manifold method only needs the scattered nodes instead of meshing the domain of the problem when the trial function is formed. The meshless manifold method is used to discretize the governing partial differential equation, and boundary conditions can be directly enforced without numerical integration in the problem domain. This reduces the computation cost greatly. A numerical example is given to show the effectiveness of the method.

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Periodical:

Advanced Materials Research (Volume 749)

Pages:

131-136

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.749.131

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Online since:

August 2013

Authors:

Hong Fen Gao, Gao Feng Wei

Keywords:

Inverse Heat Conduction Problem, Meshless Manifold Method, Moving Least-Square Method, Source Parameter

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