منابع مشابه
Finite Element Methods for Convection Diffusion Equation
This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...
متن کاملLocking-free finite element methods for shells
We propose a new family of finite element methods for the Naghdi shell model, one method associated with each nonnegative integer k. The methods are based on a nonstandard mixed formulation, and the kth method employs triangular Lagrange finite elements of degree k+2 augmented by bubble functions of degree k+ 3 for both the displacement and rotation variables, and discontinuous piecewise polyno...
متن کاملLocking-Free Finite Element Methods for Poroelasticity
We propose a new formulation along with a family of finite element schemes for the approximation of the interaction between fluid motion and linear mechanical response of a porous medium, known as Biot’s consolidation problem. The steady-state version of the system is recast in terms of displacement, pressure, and volumetric stress, and both continuous and discrete formulations are analyzed as ...
متن کاملMultigrid for Matrix-Free Finite Element Computations on Graphics Processors
In this paper, we consider matrix-free finite-element techniques for efficient numerical solution of partial differential equations on modern manycore processors such as graphics cards. We present a GPU parallelization of a completely matrix-free geometric multigrid iterative solver, with support for general curved and adaptively refined meshes with hanging nodes. Comparing our implementation r...
متن کاملA Simple Finite Element Procedure for Free Vibration and Buckling Analysis of Cracked Beam-Like Structures
In this study, a novel and very simple finite element procedure is presented for free vibration and buckling analysis of slim beam-like structures damaged by edge cracks. A cracked region of a beam is modeled using a very short element with reduced second moment of area (I). For computing reduced I in a cracked region, the elementary theory of bending of beams and local flexibility approach are...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The International Journal of High Performance Computing Applications
سال: 2020
ISSN: 1094-3420,1741-2846
DOI: 10.1177/1094342020945005