2015
DOI: 10.1002/nme.4908
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Investigations on boundary temperature control analysis considering a moving body based on the adjoint variable and the fictitious domain finite element methods

Abstract: SummaryThis paper presents an examination of moving‐boundary temperature control problems. With a moving‐boundary problem, a finite‐element mesh is generated at each time step to express the position of the boundary. On the other hand, if an overlapped domain, that is, comprising foreground and background meshes, is prepared, the moving boundary problem can be solved without mesh generation at each time step by using the fictitious domain method. In this study, boundary temperature control problems with a movi… Show more

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Cited by 5 publications
(2 citation statements)
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“…The displacement response data on surface in the hammering test is employed for the identification of the cavity shape. In the level-set type optimization analysis, sensitivity for the level-set function is calculated based on the adjoint variable method [1,2], and iterative computation for estimation of cavity shape is conducted by using a reaction diffusion equation with respect to the level-set function. In this study, numerical experiments are carried out by changing the value of the regularization parameter in the reaction diffusion equation.…”
Section: Introductionmentioning
confidence: 99%
“…The displacement response data on surface in the hammering test is employed for the identification of the cavity shape. In the level-set type optimization analysis, sensitivity for the level-set function is calculated based on the adjoint variable method [1,2], and iterative computation for estimation of cavity shape is conducted by using a reaction diffusion equation with respect to the level-set function. In this study, numerical experiments are carried out by changing the value of the regularization parameter in the reaction diffusion equation.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, an identification procedure for the order of singularity using these measurement values is proposed in this paper. The adjoint variable method [8] and the direct differentiation method [9] are frequently employed in parameter identification problems. However, it is necessary to include the target parameter explicitly in the governing equation, and it is difficult to formulate this identification problem due to implicit inclusion of the order of singularity in the governing equation.…”
Section: Introductionmentioning
confidence: 99%