In this article, an analytical approximate solution method is given to provide investors with the means to make optimal consumption and portfolio choices with recursive utility in a complete market. The investment opportunity set is stochastic over time. The method is used to provide an exact determination of the unit elasticity of intertemporal substitution. An approximate solution method is d...

This paper is concerned with the numerical simulation of the interaction of compressible viscous flow with elastic structures. The flow is described by the compressible Navier-Stokes equations written in the arbitrary Lagrangian-Eulerian (ALE) form. For the elastic deformation we use 2D linear elasticity and nonlinear St. Venant-Kirchhoff and neo-Hookean models. The discretization of both flow ...

Multi-tenancy has shown promising results in achieving high operational cost efficiency by sharing hardware and software resources among multiple customer organizations, called tenants. In the context of cloud computing, this paradigm enables cloud providers to reduce operational costs by dividing resources and to simplify application management and maintenance. These benefits come with associa...

The discretised linear elasticity problem is solved by the preconditioned conjugate gradient (pcg) method. Mainly we consider the linear isotropic case but we also comment on the more general linear orthotropic problem. The preconditioner is based on the separate displacement component (sdc) part of the equations of elasticity. The preconditioning system consists of two or three subsystems (in ...

Solution representations are available for severeal differential equations. For elasticity problems some of the solution representations are considered in this paper. The solution representations can be used for a systematic construction of Trefftz functions for the derivation of Trefftz-type finite elements. For the example of a thick plate a set of Trefftz functions is presented.

This work presents how approximate solution methods were introduced in a graduate level course of Theory of Elasticity. The three methods introduced are the finite difference method, the finite element method, and the boundary element method. All methods are exemplified by the problem of a thick-walled cylinder subject to internal pressure with an axisymmetric response. Choosing a single proble...

Abstract We present a new study of linear elasticity for an infinite three-dimensional plate of finite thickness Ω = IR2×(−1, 1). We first caracterize the kernel of the operator of elasticity as polynomials which can be build from the kernel of the classical Kirchhoff-Love model of plate. Using this characterization we get optimal uniform elliptic estimates W , C on the solution as a function o...

Optimal control problems for finite-strain elasticity are considered. An inner pressure or an inner fiber tension is acting as a driving force. Such internal forces are typical, for instance, for the motion of heliotropic plants, and for muscle tissue. Non-standard objective functions relevant for elasticity problems are introduced. Optimality conditions are derived on a formal basis, and a lim...

The edge function asymptotic boundary discretization method, which generates a partition of the boundary into a finite set of boundary elements, and its application to three-dimensional problems of linear isotropic elasticity are presented. The present solution representation, which is global, is constructed from asymptotic solutions of the Navier equations of elasticity. The unknown parameters...

We present an a-posteriori method for computing rigorous upper and lower bounds of the J-integral in two dimensional linear elasticity. The J-integral, which is typically expressed as a contour integral, is recast as a surface integral which yields a quadratic continuous functional of the displacement. By expanding the quadratic output about an approximate finite element solution, the output is...