{"title":"积分微分热传导方程数值解的另一种方法","authors":"E.N. Baidakov, G.N. Kuvyrkin","doi":"10.1016/0041-5553(90)90016-L","DOIUrl":null,"url":null,"abstract":"<div><p>An algorithm is developed using the finite-element method for calculating the temperature field in a bounded domain allowing for the finite rate of propagation of heat during pulsed surface heating. An accumulating finite element mesh is used in order to remove the oscillations in the solution behind the temperature wave front. An investigation of the error in the calculations enables a rational approach to be taken to the choice of parameters in the integration scheme. Calculations of the propagation and reflection of the temperature waves due to pulsed surface charging are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 118-122"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90016-L","citationCount":"0","resultStr":"{\"title\":\"An alternative method for the numerical solution of the integrodifferential heat-conduction equation\",\"authors\":\"E.N. Baidakov, G.N. Kuvyrkin\",\"doi\":\"10.1016/0041-5553(90)90016-L\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>An algorithm is developed using the finite-element method for calculating the temperature field in a bounded domain allowing for the finite rate of propagation of heat during pulsed surface heating. An accumulating finite element mesh is used in order to remove the oscillations in the solution behind the temperature wave front. An investigation of the error in the calculations enables a rational approach to be taken to the choice of parameters in the integration scheme. Calculations of the propagation and reflection of the temperature waves due to pulsed surface charging are presented.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 1\",\"pages\":\"Pages 118-122\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90016-L\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090016L\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090016L","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An alternative method for the numerical solution of the integrodifferential heat-conduction equation
An algorithm is developed using the finite-element method for calculating the temperature field in a bounded domain allowing for the finite rate of propagation of heat during pulsed surface heating. An accumulating finite element mesh is used in order to remove the oscillations in the solution behind the temperature wave front. An investigation of the error in the calculations enables a rational approach to be taken to the choice of parameters in the integration scheme. Calculations of the propagation and reflection of the temperature waves due to pulsed surface charging are presented.
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