Sentence examples for boundary integral representation for from inspiring English sources

It is derived from Farassat's 'Formulation 1A', that is a time-domain boundary integral representation for the solution of the Ffowcs-Williams and Hawkings equation, and represents noise as harmonic response to body kinematics and aerodynamic loads via frequency-response-function matrices.

In particular we exploit the freedom available in the choice of the kernel for the boundary integral representation to introduce a new logarithmic kernel for the fundamental solution of the Laplacian on a cylinder.

This restatement of the original problem is then amenable to boundary integral representation and boundary element solution.

A boundary element method yields the scattered pressure upon the hull surface by the solution of a boundary integral equation, whereas the noise radiated in the fluid domain is evaluated by the corresponding boundary integral representation.

Specifically, a boundary-integral equation allows one to evaluate the potential distribution around the body; after having obtained this, the corresponding boundary integral representation is used to evaluate the potential and hence the pressure at any point in the field.

The diffraction problems are transformed to strongly elliptic variational formulations of quasi periodic transmission problems for the Helmholtz equation in a bounded domain coupled with boundary integral representations in the exterior.

For this purpose, the diffracted field of pressures and displacements, due to an initial pressure in the fluid, are expressed using boundary integral representations, which satisfy the equation of motion.

The approach to use hybrid FEM and boundary integral representations is not new and our developed model was influenced by such works as Zhou et al.

This approximate boundary integral technique is based upon the integral representation for scattered elastic waves using single-layer boundary sources.

In this paper, by means of the appropriate Green's function, an integral representation for the solutions of certain boundary value problems for second-order difference equations on (quadratic and q-quadratic) non-uniform lattices is presented.

As a first step, we given the integral representation for the solution of the Dirichlet boundary value problem (1.1 - 1.2 1.1 - 1.2ral d ( z ) derived by foras' transform method.