A fast preconditioned iterative method for the electromagnetic scattering by multiple cavities with high wave numbers

2019 ◽  
Vol 398 ◽  
pp. 108826 ◽  
Author(s):  
Meiling Zhao ◽  
Na Zhu
Keyword(s):  
Iterative Method ◽  
Electromagnetic Scattering ◽  
High Wave ◽  
Wave Numbers ◽  
Preconditioned Iterative

scholarly journals A Hybrid Smoothed Finite Element Method for Predicting the Sound Field in the Enclosure with High Wave Numbers

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Haitao Wang ◽  
Xiangyang Zeng ◽  
Ye Lei
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Sound Field ◽  
Numerical Dispersion ◽  
Computational Accuracy ◽  
Dispersion Error ◽  
High Wave ◽  
Wave Numbers ◽  
Smoothed Finite Element Method ◽  
Element Method

Wave-based methods for acoustic simulations within enclosures suffer the numerical dispersion and then usually have evident dispersion error for problems with high wave numbers. To improve the upper limit of calculating frequency for 3D problems, a hybrid smoothed finite element method (hybrid SFEM) is proposed in this paper. This method employs the smoothing technique to realize the reduction of the numerical dispersion. By constructing a type of mixed smoothing domain, the traditional node-based and face-based smoothing techniques are mixed in the hybrid SFEM to give a more accurate stiffness matrix, which is widely believed to be the ultimate cause for the numerical dispersion error. The numerical examples demonstrate that the hybrid SFEM has better accuracy than the standard FEM and traditional smoothed FEMs under the condition of the same basic elements. Moreover, the hybrid SFEM also has good performance on the computational efficiency. A convergence experiment shows that it costs less time than other comparison methods to achieve the same computational accuracy.

scholarly journals A sparse preconditioned iterative method for vibration analysis of geometrically mistuned bladed disks

2009 ◽  
Vol 87 (5-6) ◽  
pp. 342-354 ◽  
Author(s):  
Vladislav Ganine ◽  
Mathias Legrand ◽  
Hannah Michalska ◽  
Christophe Pierre
Keyword(s):  
Iterative Method ◽  
Vibration Analysis ◽  
Bladed Disks ◽  
Preconditioned Iterative

New Finite Element Modeling Strategy for Large-Scale Industrial Problems in Structural Acoustics

2000 ◽  
Author(s):  
Saikat Dey ◽  
Luise S. Couchman
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Large Scale ◽  
Structural Acoustics ◽  
Simple Scheme ◽  
Numerical Examples ◽  
High Wave ◽  
Wave Numbers ◽  
Complex Structural ◽  
Modeling Strategy

Abstract A simple scheme to model and mesh stiffened shell-like structures is presented. Combined with a high-order finite/infinite element based infrastructure, it enables the solution of complex structural acoustics problems at high wave numbers. Numerical examples are presented to show the applicability of the method at high wave-numbers.

scholarly journals A Preconditioned Iterative Approach for Efficient Full Chip Thermal Analysis on Massively Parallel Platforms

Technologies ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 1
Author(s):  
George Floros ◽  
Konstantis Daloukas ◽  
Nestor Evmorfopoulos ◽  
George Stamoulis
Keyword(s):  
Integrated Circuits ◽  
Iterative Method ◽  
State Of The Art ◽  
Massively Parallel ◽  
Computationally Efficient ◽  
Linear Solvers ◽  
Massively Parallel Architectures ◽  
3D Integrated Circuits ◽  
Preconditioned Iterative ◽  
Formulation Problem

Efficient full-chip thermal simulation is among the most challenging problems facing the EDA industry today, especially for modern 3D integrated circuits, due to the huge linear systems resulting from thermal modeling approaches that require unreasonably long computational times. While the formulation problem, by applying a thermal equivalent circuit, is prevalent and can be easily constructed, the corresponding 3D equations network has an undesirable time-consuming numerical simulation. Direct linear solvers are not capable of handling such huge problems, and iterative methods are the only feasible approach. In this paper, we propose a computationally-efficient iterative method with a parallel preconditioned technique that exploits the resources of massively-parallel architectures such as Graphic Processor Units (GPUs). Experimental results demonstrate that the proposed method achieves a speedup of 2.2× in CPU execution and a 26.93× speedup in GPU execution over the state-of-the-art iterative method.

scholarly journals A Preconditioned Iterative Method for Solving Systems of Nonlinear Equations Having Unknown Multiplicity

Algorithms ◽  
2017 ◽  
Vol 10 (1) ◽  
pp. 17 ◽  
Author(s):  
Fayyaz Ahmad ◽  
Toseef Bhutta ◽  
Umar Shoaib ◽  
Malik Zaka Ullah ◽  
Ali Alshomrani ◽  
...  
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Systems Of Nonlinear Equations ◽  
Preconditioned Iterative
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