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The boundary element discretization of both formulations is described in Section 4, and first academic examples in Section 5 show the advantages and disadvantages of the considered approaches.
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The effect of the precision of boundary element discretization on the acoustic pressure sensitivity is examined via this code.
The discretized optimal problem, obtained via boundary element discretization, is considered as nonlinear mathematical programming where the state of the system and the design variable are taken as independent variables.
Topics include mathematical formulations; finite difference, finite volume, finite element, and boundary element discretization methods; and direct and iterative solution techniques.
For generalizations to boundary element discretizations see e.g. [31,32].
A system of elliptic partial differential equations and boundary conditions has been developed for generating boundary-fitted element discretizations of two-dimensional free and moving boundary problems.
We shall now describe a finite element discretization of nonlinear quadratic parabolic boundary optimal control problem (1 -(4).
A method is developed for the automatic finite element discretization of the pinion and the gear.
Our method is based on a finite element discretization of the deformable object using hexahedra.
The inviscid flow is modeled using a variational finite element discretization of the full potential equation.
The inviscid region is modeled using a finite element discretization of the full potential equation.
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