This work develops an ε-uniform finite element method for singularly perturbed boundary value problems. A surprising and remarkable observation is illustrated: By inserting one node arbitrarily in any element, the new finite element solution always intersects with the original one at fixed points, and the errors at those points converge at the same rate as regular boundary value problems (witho...

This work develops an ε-uniform finite element method for singularly perturbed two-point boundary value problems. A surprising and remarkable observation is illustrated: By inserting one node arbitrarily in any element, the new finite element solution always intersects with the original one at fixed points, and the errors at those points converge at the same rate as regular boundary value probl...

purpose: to determine agreement between peripapillary retinal nerve fiber layer (rnfl) thickness measurements by two different spectral domain optical coherence tomography (sd-oct) machines. methods: both eyes of 89 subjects were evaluated using cirrus oct (carl zeiss meditec, inc. dublin, ca, usa) and topcon oct (3d oct 1000, topcon corporation, tokyo, japan). one eye was randomly selected in ...

The two main resistances in the exchange of gases between plants and the atmosphere are stomatal and boundary layer resistances. We modeled boundary layer dynamics over glabrous and pubescent leaves (assuming non-exchanging trichomes) with leaf lengths varying from 0.01 to 0.2 m, and windspeeds of 0.1-5.0 m x s(-1). Results from theoretical and semi-empirical formulae were compared. As expected...

An analytical method to estimate the thickness of the interface between two phases from small-angle scattering (SAS) data has been developed using Porod's law modi®ed by a triangular smoothing function. The convolution with a `top-hat' function describing a sharp density pro®le results in a semi-sigmoidal density pro®le. This analytical method allows an interfacial layer thickness to be estimat...

In the present study, the classical plate theory (CPT) was used to study sound radiation of forced vibrating thin circular plates coupled with piezoelectric layers using simply supported and clamped boundary conditions. The novelty of the study consists of an exact closed-form solution that was developed without any use of approximation. Piezoelectric, electrical potential loaded in the transve...

In accordance with the problem of the need for calculation formula of the straight wall flume flow in open channel by experiment, the method of thee boundary layer is proposed; Analysis with boundary layer displacement thickness is studied, and the energy equation, continuous equation and the theory and critical depth of flume flow coefficient, velocity coefficient is deduced using the boundary...

In this paper, non-similarity boundary-layer flow of a Newtonian fluid near an asymmetric plane stagnation point with a dimensionless external flow velocity ue = x/(x + 1) is studied. The original boundary-layer equations are transferred into a nonlinear partial differential equation (PDE) with variable coefficients. An analytic technique for strongly nonlinear equations, namely the homotopy an...

Profiles of both the mean value and the standard deviation of the local fluctuating velocity were directly measured near the sidewall of a cubic convection cell using water as the working fluid. Scaling laws with the Rayleigh number Ra for various boundary layer quantities have been established over the range of Ra from 10 –10 and were found to be substantially different from those near the hor...