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In order to improve performance, sensitivity gradients of the objective and constraint functions with respect to the geometric and heat transfer enhancement design variables were obtained using implicit differentiation of the boundary element system of equations.
In order to accommodate the new definitions, the connectivity of the boundary element model must be updated and constraint equations must be generated and introduced in the boundary element system of equations.
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A contour integral method is used to convert the nonlinear eigenproblem into an ordinary eigenproblem, so that eigenvalues can be extracted accurately by solving a set of standard boundary element systems of equations.
Moreover, a wideband fast multipole method is implemented with a block IDR(s) solver to reduce the overall solution cost of the boundary element systems of equations with multiple right-hand sides.
Therefore, distinguishing the expression patterns of each Hox gene may require an enhancer insulator or boundary element system similar to that proposed in Drosophila melanogaster [2].
Application of the boundary element technique yields a system of nonlinear Differential Algebraic Equations, which is solved using an efficient time discretization scheme, from which the transverse and axial displacements are computed.
Open image in new window Fig. 4 Finite element and boundary element meshes of the wheel.
The finite element and boundary element meshes of the cross section are shown in Fig. 4.
This boundary element consists of five protein binding sites, all of which are necessary for its function.
Application of the boundary element technique leads to a system of nonlinear and coupled algebraic equations which is solved using iterative numerical methods.
This boundary element is composed of two functional fragments a constitutive boundary element and a boundary regulator fragment the latter of which gives tissue specificity to the constitutive boundary element.
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