In this paper we discuss the implementation of parallel multigrid methods on unstructured locally refined meshes for 2D linear elasticity calculations. The problem of rebalancing the workload of the processors during execution of the program is discussed in detail and a load balancing algorithm suited for hierarchical meshes is proposed. For large problems the efficiency per multigrid iteration...

This paper presents a new computational framework for the simulation of solid mechanics on general overlapping grids with adaptive mesh refinement (AMR). The approach, described here for time-dependent linear elasticity in two and three space dimensions, is motivated by considerations of accuracy, efficiency and flexibility. We consider two approaches for the numerical solution of the equations...

Preconditioned iterative methods for the indefinite systems obtained by discretizing the linear elasticity and Stokes problems with mixed spectral elements in three dimensions are introduced and analyzed. The resulting stiffness matrices have the structure of saddle point problems with a penalty term, which is associated with the Poisson ratio for elasticity problems or with stabilization techn...

In this paper, we review existing discontinuous Galerkin (DG) methods for elasticity and introduce a new formulation based on mixed finite elements. We highlight the subtle and important differences between Interior Penalty (IP) and mixed FEM based methods. In the mixed method for elasticity, choices of function spaces for approximating primal and dual variable is non-trivial for two main reaso...

BACKGROUND During menopause, the decrease of estrogenic secretion induces the disruption of skin functioning, thus causing the decline in skin elasticity characteristic of skin aging. The purpose of this study was to evaluate in postmenopausal women the effect of daily consumption and/or application of argan oil on skin elasticity. MATERIALS AND METHODS Sixty postmenopausal women consumed but...

Basic principles and examples of elasticity imaging aresummarized. The chapter focuses on static ultrasonicmethods, and it discusses the advantages and limitationsof this approach in the context of dynamic methods andalternative imaging modalities from the literature. We re-view the physics of continuum deformations as a way toevaluate various experimental approaches. A ...

â â â  â  zahra zamani [1] â â  seyed komail tayebi â  department of economics, university of isfahan, iran â â department of economics, university of isfahan, iran â â â  abstract â  international trade causes that markets to become more competitive and small-medium sized enterprises (smes) learn to compete effectively within this increasingly competitive global market place. smes are able to ...

One of the parameters that has been identified as influencing the structural response of buildings is the dynamic Modulus of Elasticity of masonry units. The first aim of this paper is to experimentally investigate the use of high frequency sinusoidal loading to determine the dynamic Modulus of Elasticity of masonry units. The Longitudinal Vibration and the Ultrasonic Pulse methods were origina...