Shape Identification of A Free Surface with A Uniform Potential and Flux

R. A. Meric
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R. A. Meric: Research Institute for Basic Sciences

Chapter D8 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 71-77 from Springer

Abstract: Abstract The present study concerns the identification of the position of the inner boundary surface of a hollow solid body satisfying Laplace’s equation. The “inverse problem condition”, providing the extra information needed for identification purposes, is given such that the inner surface has a uniform potential flux (although, an unknown quantity) with a known total value. After reformulating the problem as a shape optimization problem, the material derivative concept and adjoint variable methods are utilized in order to find a sensitivity expression for the objective function of optimization. The boundary element methods along with an unconstrained minimization routine are then effectively used in an iterative numerical solution procedure.

Keywords: Boundary Element Method; Sequential Quadratic Programming; Adjoint Problem; Material Derivative; Design Sensitivity Analysis (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-94-009-3653-9_8

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