{"title":"波形松弛的收敛和电路划分方面","authors":"U. Miekkala, O. Nevanlinna, A. Ruehli","doi":"10.1109/DMCC.1990.555440","DOIUrl":null,"url":null,"abstract":"This paper gives a mathematical investigation of the convergence properties of a model problem which, at first sight, seems to be unsuitable for waveform relaxation. The model circuit represents a limiting case for capacitive coupling where the capacitances to ground are zero. We show that the WR approach converges. Since the convergence is generally slow we discuss appropriate techniques for accelerating convergence.","PeriodicalId":204431,"journal":{"name":"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.","volume":"92 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Convergence, and Circuit Partitioning Aspects for Waveform Relaxation\",\"authors\":\"U. Miekkala, O. Nevanlinna, A. Ruehli\",\"doi\":\"10.1109/DMCC.1990.555440\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper gives a mathematical investigation of the convergence properties of a model problem which, at first sight, seems to be unsuitable for waveform relaxation. The model circuit represents a limiting case for capacitive coupling where the capacitances to ground are zero. We show that the WR approach converges. Since the convergence is generally slow we discuss appropriate techniques for accelerating convergence.\",\"PeriodicalId\":204431,\"journal\":{\"name\":\"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.\",\"volume\":\"92 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DMCC.1990.555440\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DMCC.1990.555440","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Convergence, and Circuit Partitioning Aspects for Waveform Relaxation
This paper gives a mathematical investigation of the convergence properties of a model problem which, at first sight, seems to be unsuitable for waveform relaxation. The model circuit represents a limiting case for capacitive coupling where the capacitances to ground are zero. We show that the WR approach converges. Since the convergence is generally slow we discuss appropriate techniques for accelerating convergence.
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