This paper continues earlier work on mathematical techniques for generating optimized algorithms for computing finite element stiffness matrices. These techniques start from representing the sti. ness matrix for an a....
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This paper continues earlier work on mathematical techniques for generating optimized algorithms for computing finite element stiffness matrices. These techniques start from representing the sti. ness matrix for an a. ne element as a collection of contractions between reference tensors and an element-dependent geometry tensor. We go beyond the complexity-reducing binary relations explored in [R. C. Kirby, A. Logg, L. R. Scott, and A. R. Terrel, SIAM J. Sci. Comput., 28 ( 2006), pp. 224 - 240] to consider geometric relationships between three or more objects. algorithms based on these relationships often have even fewer operations than those based on complexity-reducing relations.
According to the characters of large-scale public emergency response, an optimized algorithm for obtaining optimal emergency allocation scheme is established in order to solve resource collision problem among multiple...
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According to the characters of large-scale public emergency response, an optimized algorithm for obtaining optimal emergency allocation scheme is established in order to solve resource collision problem among multiple disaster places and multiple resource *** holistic optimized scheme of all disaster places can be calculated through adjusting the partial optimal scheme of every disaster ***, a case study is carried on to verify the algorithm validity.
We present a topological framework for finding low-flop algorithms for evaluating element stiffness matrices associated with multilinear forms for finite element methods posed over straight-sided affine domains. This ...
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We present a topological framework for finding low-flop algorithms for evaluating element stiffness matrices associated with multilinear forms for finite element methods posed over straight-sided affine domains. This framework relies on phrasing the computation on each element as the contraction of each collection of reference element tensors with an element-specific geometric tensor. We then present a new concept of complexity-reducing relations that serve as distance relations between these reference element tensors. This notion sets up a graph-theoretic context in which we may find an optimized algorithm by computing a minimum spanning tree. We present experimental results for some common multilinear forms showing significant reductions in operation count and also discuss some efficient algorithms for building the graph we use for the optimization.
The paper deals with the problem of control algorithms design and implementation, necessary to position a working tool in a fix point or to track a determined pattern. In this paper is described the way to accomplishe...
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ISBN:
(纸本)9608457564
The paper deals with the problem of control algorithms design and implementation, necessary to position a working tool in a fix point or to track a determined pattern. In this paper is described the way to accomplished the electrical and mechanical part of a working tool and also the way to design and implement a control algorithm necessary to optimize 2D trajectory. Finally the proposed control algorithm is validated through computer simulations.
To apply the interior point algorithm as a polynomial time algorithm to the power system better and provide a reference for the research of the analysis and calculation in the power system, on the basis of the introdu...
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To apply the interior point algorithm as a polynomial time algorithm to the power system better and provide a reference for the research of the analysis and calculation in the power system, on the basis of the introduction about the rational and classification for the interior point algorithm, the paper gives a overview of the relevant literatures about the application of the interior point algorithm in power system, and summarizes its present research situation, and also remarks on its features and developing tendency.
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