Abstract This paper presents a stabilized finite element formulation for the incompressible NavierStokes equations, written in an arbitrary Lagrangian-Eulerian frame to model flow problems that involve moving and deforming meshes. The stabilized formulation is derived based on the varriational multiscale method proposed by Hughes [1], and employed in [2,3] to study advection dominated diffusion...

Regular boundary element method is employed for the variational formulation of Helmholtz equation that governs the waveguiding problems. The problems are defined on the boundary as usual, but like in the charge simulation method, the source points associated with the fundamental solutions are allocated outside the domain so that the singular integrals which occur in the standard boundary elemen...

a non-linear finite element model could be a useful tool in the development of a method of predicting soil pressure-sinkage behaviour, and can be used to investigate and analyze soil compaction. this study was undertaken to emphasize that the finite element method (fem) is a proper technique to model soil pressure-sinkage behaviour. for this purpose, the finite element method was used to model ...

the nonlinear discrete crack modeling of Shahid Rajaee thin arch dam is considered. The interface elements are positioned such that certain potential separated blocks can form possible failure mechanisms. The dynamic stability of theses blocks are investigated by a special finite element program "MAP-73" which its nonlinear algorithm and interface elements formulation are presented.

In this paper we consider the European continuous installment call option. Then  its linear complementarity formulation is given. Writing the resulted problem in variational form, we prove the existence and uniqueness of its weak solution. Finally finite element method is applied to price the European continuous installment call option.

This paper discusses the modeling of unsteady-state mass diffusion under concentrationdependent diffusivity through an orthotropic medium. Historically, a simpler one-dimensional formulation with constant medium properties has been used, leading to approximate solutions. The present work uses a finite element formulation with finite difference discretization in time. The code includes an elemen...

The finite displacement formulation of a quadrilateral element containing an embedded displacement discontinuity is presented. The formulation is based on the kinematically optimal technique, and some known defects of this technique are addressed. Lagrange multipliers are adopted to ensure the correct crack closure prior to initiation. Six additional degrees of freedom in each element allow the...

The application of edge-elements for modeling three-dimensional inhomogeneously-lled cavities is presented in this paper. Explicit representations for the two element matrices, S] e and T ] e , are provided in order to facilitate the implementation of the FEM formulation. Also included are the results of a numerical experiment that investigates the rate of convergence of the computation of the ...

Three sufficient conditions are proposed for an iso-parametric finite element formulation to be immune to mesh-distortion effects, even for extremely distorted element geometries for which the Jacobian geometric mapping goes negative! Illustrative element formulations are presented to test the sufficiency of the proposed conditions. Numerical results confirm that the illustrative elements are i...