Robust FETI-DP methods for heterogeneous, linear elasticity problems in three dimensions were developed and analyzed in Klawonn and Widlund [2004]. For homogeneous problems or materials with only small jumps in the Young moduli, the primal constraints can be chosen as edge averages of the displacement components over well selected edges; see Klawonn and Widlund [2004] and for numerical experime...

Individuals’ risk preferences are estimated and employed in a variety of settings, notably including choices in financial, labor, and product markets. Recent work, especially in financial economics, provides estimates of individuals’ coefficients of relative risk aversion (CRRA’s) in excess of one, and often significantly higher. However, it can be shown that high CRRA’s imply equally high valu...

In this work, we develop a meshfree method based on fundamental solutions basis functions for a transmission problem in linear elasticity. The problem here addressed, consists in computing the displacement field of an elastic object, which has piecewise constant Lamé coefficients, from a given displacement field on the boundary. The Lamé coefficients are assumed to be constant in non overlaping...

Recent Hurricane Katrina and Rita caused severe economic cessations without expectations in Louisiana State. The natural disasters temporarily produced quantity losses in oil-industry and lead to further economic losses via interindustrial relations. In a sense that oil industry plays a key role to support national economy, estimation of the economic impacts of the disasters should be based on ...

In the paper we study the problem of the isotropic realizability in R2 of a regular strain field e(U) = 12 ( DU +DU ) for the incompressible Stokes equation, namely the existence of a positive viscosity μ > 0 solving the Stokes equation in R2 with the prescribed field e(U). We show that if e(U) does not vanish at some point, then the isotropic realizability holds in the neighborhood of that poi...

The wood used in making musical instruments usually undergoes pre-treatments or conditioning. Some processes have resulted from laboratory research, while many treatments are applied by craftsmen using traditional methods that have not yet been scientifically assessed. This paper is based on laboratory methods which simulate hydrothermal pre-treatments traditionally applied by Iranian lute make...

An output least-squares type functional is employed to identify the Lamé parameters in linear elasticity. To be able to identify even the discontinuous Lamé parameters the regularization is performed by the BV-seminorm. Finite element discretization is used and convergence analysis is given. Numerical examples are given to show the feasibility of the approach. c © 2008 Elsevier Ltd. All rights ...

Ultrasonic back-scattered echoes resulting from the structures within a scanned object contain information of potential diagnostic value. The most common nondestructive evaluation (NDE) techniques use large-scale changes in the back-scatterer coefficients to reveal boundaries between materials with different density/elasticity properties or defects in homogenous material regions. Less common te...

A. The three-dimensional spectral elasticity problem is studied in an anisotropic and inhomogeneous solid with small defects, i.e., inclusions, voids, and microcracks. Asymptotics of eigenfrequencies and the corresponding elastic eigenmodes are constructed and justified. New technicalities of the asymptotic analysis are related to variable coefficients of differential operators, vectoria...

We discuss possibilities of application of Numerical Analysis methods to proving computability, in the sense of the TTE approach, of solution operators of boundaryvalue problems for systems of PDEs. We prove computability of the solution operator for a symmetric hyperbolic system with computable real coefficients and dissipative boundary conditions, and of the Cauchy problem for the same system...