Sentence examples for as boundary value from inspiring English sources

Then the problems of bending of simply supported plates, membranes, heat conduction, and the irrotational flow of incompressible fluids are formulated as boundary value problems for the Laplace or Poisson equations and numerical results for several case studies are obtained using the BEM.

Since we have trouble in finding the local energy inequality of v directly, we use the fact that the operator σ can be thought as the normal derivative of some extension v⁎ of v to the upper half space (Caffarelli and Silvestre, 2007 [5]), i.e., v is regarded as boundary value of v⁎ the solution of some local extension problem.

We refer to this problem as boundary value problem (A).

But it does not work for nonlinear cases such as boundary value problems with a p-Laplacian, which attracted the attention of mathematicians in recent years [11 15].

The goal of this paper is to solve problem (1) which is more general and includes some nonlinear equations, such as boundary value problems [12].

This is mainly due to the fact that they have found many applications to the problems in applied mathematics such as boundary value problems in differential equations.

Another capability of the proposed model is use of asynchronous and repetitious monitoring data of the structure (given by different geotechnical and geodetic sensors) as boundary values which enables fusion of multi-sensor measurements at data level in an inertial reference frame.

Perron undertook to find a general condition under which P did have b as boundary values.

But of course it need not have the function b as boundary values, i.e., it need not happen that (P cup b) is continuous on ({{mathrm{cl}}}(U)).

Anh and Loi [2, 3] studied the solvability of initial-value problems as well as boundary-value problems for SDEs.

The problem is initially stated as a boundary value problem and is subsequently reformulated as a boundary integral equation via Green's second theorem.