In current study, The Mesh-free method based on weak-form formulation coupled with the ultrasound imaging technique is developed. This problem consists in computing the deformation of an elastic non-homogenous phantom by numerical methods (both Mesh-free and Finite Element) and converge their results to the measured deformation by the ultrasound. The shape functions of Mesh-free are approximate...

This paper was concerned with studying the magnetohydrodynamic steady laminar free convection flow of a micropolar fluid past a continuously moving surface in the presence of heat generation and thermal radiation. Similarity transformation was employed to transform the governing partial differential equations into ordinary ones, which were then solved numerically using the finite element method...

The Finite Element Method (FEM) has become an indispensable tool in computer graphics. Typical applications range from computer games, special effects and feature films to virtual surgery training simulators. In the field of geometric modeling, the FEM can help in creating realistic and physically plausible deformations with the user only having to specify a low number of constraints. Using the...

In this paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares (MLS) recovery-based procedure is presented. We explore the capabilities of a recovery technique based on an enhanced MLS fitting, which directly provides continuous interpolated fields, to obtain estimates of the error in energy norm as an alternative to the superconvergent...

In this paper, we use moving mesh fintie element method based upon 4P1 − P1 element to solve the time-dependent Navier-Stokes equations in 2D. Twolayer nested meshes are used including velocity mesh and pressure mesh, and velocity mesh can be obtained by globally refining pressure mesh. We use hierarchy geometry tree to store the nested meshes. This data structure make convienence for adaptive ...

This paper is devoted to the applications of a class of moving mesh nite element methods based on harmonic maps. We review some recent work of the authors on solving PDES, variational inequalities and optimal control problems by use of the moving mesh techniques.

This paper investigates the adaptive solution of linear elastic structural analysis problems through re-positioning of the nite element nodal points (r-renement) using an approach known as the Moving Finite Element method. After a brief introduction to the Moving Finite Element method it is proved that this technique can yield optimal nite element solutions on optimal meshes in the energy norm ...

Three new Eulerian finite element methods for parabolic PDEs on a moving surface Γ(t) are presented and compared in numerical experiments. These are space-time Galerkin methods, which are derived from a weak formulation in space and time. The trialand test-spaces contain the traces on the space-time manifold of an outer prismatic finite element space. The numerical experiments show that two of ...

In this article, the modeling and simulation of material removal during machining processes with a finite element method is discussed. The model links a dexel based material removal simulation with a thermomechanical finite element method to forecast thermical and process-related shape errors during machining processes. It is modeled mathematically by linking heat conduction equation with the d...