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自伴不定问题的WOPSIP方法的两水平加性Schwarz预条件子(英文)
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作者 王春梅 颜世建 《黑龙江大学自然科学学报》 CAS 北大核心 2014年第3期296-301,共6页
弱过度惩罚对称内罚方法(WOPSIP),是一种间断有限元方法,其主要特点是它满足能量范数和L2范数的正确的误差估计,且它不要求调整罚参数。此外,由于双线性形式比较简单,使得WOPSIP方法的编程比较简单,且程序易于实现并行。提出了非自伴不... 弱过度惩罚对称内罚方法(WOPSIP),是一种间断有限元方法,其主要特点是它满足能量范数和L2范数的正确的误差估计,且它不要求调整罚参数。此外,由于双线性形式比较简单,使得WOPSIP方法的编程比较简单,且程序易于实现并行。提出了非自伴不定问题的WOPSIP方法的两水平加性Schwarz预条件子。条件数有界,界为(1+maxiHiδi)2,其中Hi和δi分别为子区域Ωi的直径和相邻子区域之间的重叠度。 展开更多
关键词 非自伴不定 两水平 加性Schwarz 预条件子 弱过度惩罚 内罚
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Verifying Mutual Exclusion and Liveness Properties with Split Preconditions
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作者 AwadheshKumarSingh AnupKumarBandyopadhyay 《Journal of Computer Science & Technology》 SCIE EI CSCD 2004年第6期795-802,共8页
This work is focused on presenting a split precondition approach for the modeling and proving the correctness of distributed algorithms. Formal specification and precise analysis of Peterson's distributed mutual e... This work is focused on presenting a split precondition approach for the modeling and proving the correctness of distributed algorithms. Formal specification and precise analysis of Peterson's distributed mutual exclusion algorithm for two process has been considered. The proof of properties like, mutual exclusion, liveness, and lockout-freedom have also been presented. Keywords distributed algorithms - state transition rule - mutual exclusion - weakest self-precondition - weakest co-operation - correctness Regular PaperAwadhesh Kumar Singh received the B.E. degree in computer science & engineering from Gorakhpur University, Gorakhpur, India in 1988. He received the M.E. and Ph.D. (Engg) degrees in the same area from Jadavpur University, Kolkata, India. He is a faculty member in Computer Engineering Department, National Institute of Technology, Kurukshetra, India. His present research interest is distributed systems.Anup Kumar Bandyopadhyay received the B.E. (Tel.E.), M.E. (Tel.E.), and Ph.D. (Engg) degrees from Jadavpur University, Calcutta, India in 1968, 1970 and 1983, respectively. From 1970 to 1972 he worked with the Microwave Antenna System Engineering Group of the Indian Space Research Organization. In 1972 he joined the Department of Electronics and Telecommuication Engineering, Jadavpur University, where he is currently a professor. His research interests include computer communication networks and distributed systems. 展开更多
关键词 distributed algorithms state transition rule mutual exclusion weakest self-precondition weakest co-operation CORRECTNESS
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