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Improved Accuracy for Alternating Direction Methods for Parabolic Equations Based on Mixed Finite Element Procedures

Classical alternating direction (AD) methods for parabolic equations, based on some standard implicit time stepping procedure such as Crank-Nicolson, can have errors associated with the AD perturbations that are much larger than the errors associated with the underlying time stepping procedure . We plan to show that minor modifications in the AD procedures can virtually eliminate the perturbation errors at an minor additional computational cost. A mixed finite element method is applied in the spactial variables. Similar to the finite difference and finite element methods in spactial variables, we plan to have the same accuracy in time. A convergence analysis can also be shown .

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0718103-112622
Date18 July 2003
CreatorsYang, Song-ming
ContributorsTzon-Tzer Lu, Chieh-Sen Huang, Zi-Cai Li
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0718103-112622
Rightsunrestricted, Copyright information available at source archive

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