We consider an integral equation obtained by the “direct method” for the Neumann problem on a polygonal domain which may contain slits, i.e., interior angles of 2π. By using a Galerkin method with piecewise linear functions on a suitable graded mesh one can obtain the optimal convergence rate h3/2. Using a Gauss solver for the arising linear system would require C h−3 operations. We show that a...

In this talk we will discuss a priori error estimates for a specific elliptic linear-quadratic optimal control problem in 2D with Neumann boundary control and inequality constraints on the control variable. The domain is assumed to be polygonal and maybe non-convex. The approximations of the optimal solution are constructed in a postprocessing step by a projection of the discrete adjoint state....

A supercondensed TLM node for modelling inhomogeneous anisotropic media on an arbitrarily graded mesh without using stubs is developed. It requires less storage, computationally is more efficient and can operate on a higher time step then existing TLM nodes. Complete derivation, implementation and validation of the new node are presented in the paper. Introduction Transmission-Line Modelling (T...

PAGE Meshes are central structures for numerical methods, such as the finite element method. These numerical methods require high quality refined meshes in order to achieve good approximations of the analytical model. Unstructured meshes are the most popular; their adaptive nature allows them to give boundary conforming meshes of good quality, with optimal size. The most widely studied 2D mesh ...

The phenomenon of linear motion conductor in a magnetic field is commonly found electric machineries such as, electromagnetic brakes, induction motor, flowmeter etc. design and analysis the same requires an accurate evaluation induced currents associated reaction fields. finite element method generally employed numerical technique for this purpose. However, it needs stabilization techniques to ...

This paper presents a computational method for quadrilateral meshing of a thin, or narrow, two-dimensional domain for finite element analysis. The proposed method creates a well-shaped single-layered, multi-layered, or partially multi-layered quadrilateral mesh. Element sizes can be uniform or graded. A high quality, layered quadrilateral mesh is often required for finite element analysis of a ...

Real-time simulation and animation of global deformation of 3D objects, using finite element method (FEM), is difficult due to the following 3 fundamental problems: (1) The linear elastic model is inappropriate for simulating large motion and large deformations (unacceptable distortion will occur); (2) The time step for dynamic integration has to be drastically reduced to simulate collisions; (...

Automatic and accurate element-sizing specification is crucial for the efficient generation of surface meshes with a reduced number of elements. This study proposes a novel algorithm to fulfill this goal, which is based on the unstructured background mesh, and provides an alternative of existing Cartesian mesh based algorithms. The geometric factors are considered and combined with some user pa...

we report the cases of two patients diagnosed with morgagni hernia who presented with nonspecific abdominal symptoms. both underwent laparo­scopic surgery that used a dual-sided mesh, polyvinylidene fluoride (pvdf; dynamesh ipom®). the procedures were successful and both patients were discharged with no complications. there was no recurrence in 18 months of follow up. herein is the report of th...