| HIGH ACCURACY ANALYSIS FOR FIRST ORDER HYPERBOLIC EQUATIONS BY PETROV-GALERKIN METHODS |
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| 作者姓名： | LIN Qun ZHANG Shuhua |
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| 作者单位： | Institute Of Systems Science，Academic Sinica，Beijing 100080，China |
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| 摘 要： | 1.IntroductionInthispaper,weareconcernedwiththefiniteelementmethodforthefollowingfirstorderhyperbolicequationwithsomeinitial--boundaryconditionwheref,gandvaresufficientlysmoothgivenfunctions.ItiswellknownthatthestandardGalerkinfiniteelementmethodisnotasvalidtothefirstorderhyperbolicproblemsasitistotheellipticandtheparabolicproblems.TheaccuracyofGalerkinll]solutionsfortheabetorderhyperbolicproblems,roughlyspeaking,losesoneorderwithrespecttotheaccuracyofthefiniteelemelltspaces.Moreover,Galerki…
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HIGH ACCURACY ANALYSIS FOR FIRST ORDER HYPERBOLIC EQUATIONS BY PETROV-GALERKIN METHODS |
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| LIN Qun, ZHANG Shuhua.HIGH ACCURACY ANALYSIS FOR FIRST ORDER HYPERBOLIC EQUATIONS BY PETROV-GALERKIN METHODS[J].Journal of Systems Science and Complexity,1998(2). |
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| Authors: | LIN Qun ZHANG Shuhua |
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| Abstract: | In this paper we employ the Petrov-Galerbo method for the first orderhyperbolic problems to get the Galerkin approtoation of high accuracy by means of theinterpolation poStprocessing, extrapolation and defect correction tecboques. |
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| Keywords: | Petrov-Galerldn methods global superconvergence extrapolation defect correction |
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