In this paper, free and forced vibration analysis of functionally graded material cylinders was carried out by mesh-free and finite element method. In this analysis, MLS shape functions are used for approximation of displacement field in the weak form of motion equation and essential boundary conditions are imposed by transformation method. Resulted set of differential equations are solved usin...

AIMS To assess safety, efficacy, and cost-effectiveness of trans-vaginal total pelvic floor repair with customized prolene mesh in patients with high-grade pelvic organ prolapse. MATERIALS AND METHODS A total of 32 patients, who underwent trans-vaginal total pelvic floor repair using a customized prolene mesh from January 2007 to June 2010 for grade III and IV pelvic organ prolapse, were anal...

This article presents a methodology aiming at easing considerably the generation of high-quality meshes for complex three-dimensional (3D) domains. To this end, mesh size field h(x) is computed, taking surface curvatures and geometric features into account. The tuned by five intuitive parameters yields quality arbitrary geometries. Mesh initialized on triangulation domain based discrete medial ...

We derive error estimates for the piecewise linear finite element approximation of the Laplace–Beltrami operator on a bounded, orientable, C3, surface without boundary on general shape regular meshes. As an application, we consider a problem where the domain is split into two regions: one which has relatively high curvature and one that has low curvature. Using a graded mesh we prove error esti...

The fundamental solution of the Laplace equation in two dimensions is not contained in the Sobolev space H1(Ω) such that finite element error estimates are non-standard and quasi-uniform meshes are inappropriate. By using graded meshes L2-error estimates of almost optimal order are shown. As a by-product, we show for the Poisson equation with a right-hand side in L2 that appropriate mesh refine...

In this work, a singularly perturbed two-point boundary value problem of convection-diiusion type is considered. A hp version nite element method on a strongly graded piecewise uniform mesh of Shishkin type is used to solve the model problem. With the analytic assumption of the input data, it is shown that the method converges exponentially and the convergence is uniformly valid with respect to...

*Correspondence: [email protected] Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, 65080, Turkey Abstract We study the convergence properties of a difference scheme for singularly perturbed Volterra integro-differential equations on a graded mesh. We show that the scheme is first-order convergent in the discrete maximum norm, independently of the perturbation parame...

In this paper, we present a scalable three dimensional hybrid parallel Delaunay image-to-mesh conversion algorithm (PDR.PODM) for distributed shared memory architectures. PDR.PODM is able to explore parallelism early in the mesh generation process because of the aggressive speculative approach employed by the Parallel Optimistic Delaunay Mesh generation algorithm (PODM). In addition, it decreas...

In this paper an improved automatic mesh generation method for FEA using a dynamic bubble system is presented. The proposed method features two separate routines; one for automatic generation of a set of nodes in accordance with the desired mesh density and the Second Newton's Law of dynamics, and one for automatic generation of nite elements according to the Delaunay algorithm and using a set ...