Evaluation of the Action of Finite Element Operators
نویسندگان
چکیده
The Krylov methods frequently used to solve linear systems associated with finite element discretizations of partial differential equations (PDE) rely only on the matrixvector product. This work considers the relative costs, in terms both of floating point operations and memory traffic, of several approaches to computing the matrix action. These include forming and using a global sparse matrix, building local element matrices and using them with a local-to-global indexing, and computing the action of the local matrices directly by numerical quadrature. Which approach is most efficient depends on several factors, including the relative cost of computation to memory access, how quickly local element matrices may be formed, and how quickly a function expressed in a finite element basis may be differentiated at the quadrature points. AMS subject classification (2000): 65D05, 65N15, 65N30.
منابع مشابه
Evaluation of Ultimate Torsional Strength of Reinforcement Concrete Beams Using Finite Element Analysis and Artificial Neural Network
Due to lack of theory of elasticity, estimation of ultimate torsional strength of reinforcement concrete beams is a difficult task. Therefore, the finite element methods could be applied for determination of strength of concrete beams. Furthermore, for complicated, highly nonlinear and ambiguous status, artificial neural networks are appropriate tools for prediction of behavior of such states. ...
متن کاملEvaluation of Laser-Lok microgrooves on the stress distribution of crestal bone by Finite Element Analysis
متن کامل
Evaluation of Fracture Parameters by Coupling the Edge-Based Smoothed Finite Element Method and the Scaled Boundary Finite Element Method
This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM). A semi-analytical solution is sought in the region close to the vicinity of the crack tip using the SBFEM, whilst, the ESFEM is used for the rest of the domain. As both methods satisfy the partition of unity...
متن کاملPerformance evaluation of modified bentlegPlow using finite element approach
ABSTRACT-This paper aims to develop a new design of a bentleg (BL) plow and to determine its performance as compared to the conventional one using finite element approach. The difference between the modified and conventional BL plows is the direction of angle between the projection of cutting blade on horizontal plane normal to plow shank and the line perpendicular to the plow shank in the same...
متن کامل3D Finite element modeling for Dynamic Behavior Evaluation of Marin Risers Due to VIV and Internal Flow
The complete 3D nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. For describing the dynamics of the system, the Newtonian derivation procedure is followed. The velocity field inside the pipe formulated using hydrostatic and Bernoulli equations. The hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...
متن کاملEvaluation of different materials used for post construction and stress distribution in the radicular dentin using finite element method
Evaluation of different materials used for post construction and stress distribution in the radicular dentin using finite element method Dr. S. Nokar *- Dr. AS. Mostafavi ** *Assistant Professor of Prosthodontics Dept., Faculty of Dentistry, Tehran University / Medical Sciences. **Resident of Prosthodontics Dept., Faculty of Dentistry, Tehran University / Medical Sciences. Abstract Background a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004