Sentence examples for a prescribed boundary from inspiring English sources

We investigate the stable numerical reconstruction of an unknown portion of the boundary of a two-dimensional domain occupied by an isotropic linear elastic material from a prescribed boundary condition on this part of the boundary and additional displacement and traction measurements (i.e. Cauchy data) on the remaining known portion of the boundary.

We illustrate our approach by constructing a particular class of methods, and apply them to a prescribed-boundary variant of the Stefan problem.

A method is given for generating harmonic tensor product Bézier surfaces and the explicit expression of each point in the control net is provided as a linear combination of prescribed boundary control points.

Here, we further develop a general solution of the Hvorslev (1951) formula that accounts for flow in a bounded medium and assumes that the bottom of the river is a prescribed head boundary.

As an immediate consequence of Theorem 1.1, the hypothesis of the existence of a subsolution u ̲ in Theorem 1.1 of [4] can be removed altogether in the optimal transportation case, while for the Dirichlet problem in Theorem 1.2 of [4], we need only assume the existence of a subsolution u ̲ in a neighbourhood of the boundary, whose boundary trace is the prescribed boundary function.

As an example we consider the one-dimensional heat equation with prescribed boundary temperatures and heat fluxes.

Earthquake excitations are used as the prescribed boundary condition.

We introduce a framework for the design of finite element methods for two-dimensional moving boundary problems with prescribed boundary evolution that have arbitrarily high order of accuracy, both in space and in time.

The key idea is to derive approximate boundary values or normal derivatives on computational boundaries, with second-order accuracy, by using the prescribed boundary condition.

In this paper we investigate existence as well as multiplicity of scalar flat metric of prescribed boundary mean curvature on the standard 4-dimensional ball.

Non-uniqueness of a solution of the free boundary problem suggests different physical stationary states caused by different processes, such as melting of ice or solidification of water, even with the same prescribed boundary data.