This paper focuses on the solution to implicit difference equations,which are very difficult to compute in parallel for one-dimension diffusion *** improving the convergent rates and the properties of gradual-approach...
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This paper focuses on the solution to implicit difference equations,which are very difficult to compute in parallel for one-dimension diffusion *** improving the convergent rates and the properties of gradual-approach convergence of segment-classic-implicit-iterative (SCII) and segment-Crank-Nicolson-iterative (SCNI) algorithms realizing efficient iterative computation in parallel by segmenting grid domains,SCII and SCNI algorithms with accelerate convergence are studied and improved through inserting classic implicit schemes and Crank-Nicolson schemes into them *** SCII and SCNI algorithms with accelerate convergence,which can be decomposed into smaller strictly tri-diagonally dominant subsystems,are solved by using double-sweep *** the present paper,general structures of SCII and SCNI algorithms with accelerate convergence are constructed with matrix *** convergent rates are estimated and properties of gradual-approach convergence about one-dimension diffusion equation are described by splitting coefficient matrix in *** algorithms improve the convergent rates in iteration while make the properties of gradual-approach convergence reach two *** efficiency of computation is greatly *** computations employing SCII and SCNI algorithms with accelerate convergence are made on SGL/Challenge L with 8 CPUs as *** analyses and numerical exemplifications show that the parallel iterative algorithms with accelerate convergence for solving one-dimension diffusion equations are more efficient in computation and have much better convergent rates and properties of gradual-approach convergence.
The purpose of this paper is to study necessary and su？cient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Bana...
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The purpose of this paper is to study necessary and su？cient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in this paper improve and extend the recent ones announced by [2–7].
The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which conver...
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The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which converges to its solution and common fixed points of two Lipschitzian mappings. parallelalgorithms are used, which can be used to simultaneous computation in multiprocessor computers. The results presented in this work are more general and include many previously known results as special cases.
We present nonoverlapping domain decomposition methods for the approximation of both electromagnetic fields in a three-dimensional bounded domain satisfying absorbing boundary conditions. A Seidel-type domain decompos...
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We present nonoverlapping domain decomposition methods for the approximation of both electromagnetic fields in a three-dimensional bounded domain satisfying absorbing boundary conditions. A Seidel-type domain decomposition iterative method is introduced based on a hybridization of a nonconforming mixed finite element method. Convergence results for the numerical procedure are proved by introducing a suitable pseudo-energy. The spectral radius of the iterative procedure is estimated and a method for choosing an optimal matching parameter is given. A red-black Seidel-type method which is readily parallelizable is also introduced and analyzed. Numerical experiments confirm that the presented algorithms are faster than the conventional Jacobi-type ones.
The calculation of eigenvalues (EVs) is important in the domain of complex computation and processing of matrices of a higher order. For real-time applications, to get superior performance, the architecture of EV comp...
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ISBN:
(纸本)9781728139883
The calculation of eigenvalues (EVs) is important in the domain of complex computation and processing of matrices of a higher order. For real-time applications, to get superior performance, the architecture of EV computation comes in handy. In this paper, the authors have investigated an efficient architecture for EV computation using the Jacobi algorithm on the Xilinx Zed-Board FPGA evaluation platform, Artix-7 family. The iterativealgorithm proves to be faster and more efficient in terms of area consumed in the FPGA architecture and also in terms of accuracy of the EV computation. The proposed architecture can take up to matrices of order 20 x 20 using the Jacobi algorithm. The algorithm also works for odd order matrices with few modifications in the input matrix. The architecture was implemented on Zynq-7000 xc7z020clg484-1 FPGA and it takes around 4216 LUTs out of 53200 LUTs for matrices of dimensions 4 x 4.
Global energy interconnection is an effective way to exploit and utilize renewable energy all over the world, but quantitative analysis on intercontinental power production and exchange under the background of energy ...
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ISBN:
(纸本)9781728152813
Global energy interconnection is an effective way to exploit and utilize renewable energy all over the world, but quantitative analysis on intercontinental power production and exchange under the background of energy interconnection is lacking. This paper constructs a global energy interconnection power balance optimization method based on the sequential production simulation. Firstly, the structure of power sources and complementary characteristics of load and renewable energy between each continent are analyzed. Then, the optimization model for global energy interconnection power balance is established, and a parallel iterative algorithm is proposed to obtain the power generation of each continent and exchanged power between each continent. In case study, the proposed method is tested based on the case of 2030, and the influence of intercontinental transmission capacity on the consumption of renewable energy is also analyzed. The testing results provide useful guidance for the investment decisions, planning, and designing of the global energy interconnection.
Finite element approximation of an elliptic variational inequality with quaisilinear operator and constraints to the solution and its gradient is constructed. Corresponding discrete problem is splitted into subproblem...
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Finite element approximation of an elliptic variational inequality with quaisilinear operator and constraints to the solution and its gradient is constructed. Corresponding discrete problem is splitted into subproblems by non-overlapping domain decomposition technique and constrained saddle point problem is constructed for the splitted problem. Block relaxation-Uzawa iterative solution method is applied to this resulting saddle point problem. Existence of a solution to saddle point problem and convergence of the iterative method are proved.
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