We consider multigrid methods applied to standard linear finite element discretizations of linear elliptic boundary value problems in 2D. In the multigrid method damped Jacobi or damped Gauss-Seidel is used as a smoother. We prove that the two-grid method with v pre-smoothing iterations has a contraction number with respect to the maximum norm that is (asymptotically) bounded by Cv-~ I1n hkl 2 ...

Abstract. Multilevel algorithms are a successful class of optimisation techniques which address the mesh partitioning problem. They usually combine a graph contraction algorithm together with a local optimisation method which refines the partition at each graph level. To date these algorithms have been used almost exclusively to minimise the cut-edge weight, however it has been shown that for c...

There has recently been an interest in the introduction of reconngurable buses to existing parallel architectures. Among them the Reconngurable Mesh (RM) draws much attention because of its simplicity. However the wide acceptance of RM depends on its scalability through self-simulation. This paper presents a simple self-simulation algorithm which can self-simulate the monotonic RM model optimal...

purpose: mesh technique is the standard for inguinal hernia repair because of less recurrence,   but it is inferior or equal to sutured technique in case of other post-operative complications   such as chronic pain. this clinical trial set out to compare these two techniques.   materials and methods: a total number of 322 cases of unilateral inguinal hernia in participants   older than 18 years...

1. Abstract The aim of this work is to introduce an adaptive strategy to monitor the rate of convergence of a Newtonlike method in shape optimization. Numerical solution of this problem involves numerical representation of the domain, optimization algorithms and numerical solution of the state equation, a partial differential equation. Newtons like algorithms are often computationally intensive...

Temporomandibular joint disc tissue-engineering studies commonly fail to produce significant matrix before construct contraction. We hypothesized that poly-L-lactic acid (PLLA) non-woven meshes would limit contraction, allow for comprehensive mechanical evaluation, and maintain viability relative to polyglycolic acid (PGA) non-woven mesh controls. Additionally, we proposed that growth factor st...

Cell migration on a two-dimensional flat surface has been extensively studied and is generally characterized by a front-protrusion-rear-contraction process. In a three-dimensional (3D) environment, on the other hand, cells adopt multiple migration strategies depending on the cell type and the properties of the extracellular matrix (ECM). By using computer simulations, we find that these migrati...

We present a finite difference algorithm for integrating the reactive flow model of contractile biological polymer networks on a fixed Eulerian mesh. We discuss the accuracy and limits of the algorithm. To illustrate the application of the algorithm, we carry out a family of computations involving an unreactive contractile network contained in a two-dimensional square reaction vessel. By numeri...

In this work, we present high-resolution solutions for viscoelastic 4:1 planar contraction flow problems using a transient finite element method based on the fractional step method (FSM) and stabilization techniques (DEVSS-G/DG) with linear equal-order interpolation function. The Oldroyd-B model was used as the constitutive equation. A parallel multi-frontal algorithm was implemented to enhance...