| GLOBAL SUPERCONVERGENCE FOR A MIXED FINITE ELEMENT METHOD FOR THE WAVE EQUATION |
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| 摘 要： | 1.IntroductionWeconsiderthesecondorderhyperbolicequationwithinitialconditionswhereaCRZisaboundeddomainwithboundariesparalleltotheaxes.Forconvenience,weassumehomogeneousDirichletboundaryconditions'Weassumethatthefunctionsailandfareuniformlyboundedandmeasurable,andthespatialoperatorisuniformlyellipticinthesensethatthereexistpositiveconstantsorandPsuchthatInamixedfiniteelementformulationbothdisplacementsandstressesareapproximatedsimultaneously.ThispropertyisimportantincomputingDarcyvelocitieso…
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GLOBAL SUPERCONVERGENCE FOR A MIXED FINITE ELEMENT METHOD FOR THE WAVE EQUATION |
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| Abstract: | This paper treats the lowest-order Raviart-Thomas mixed finite element method for second order hyperbolic equation. The superconvergence phenomena between the finite element solution and its elliptic projection have been observed. Thus a global L2-superconvergence of O(h2) is obtained by using one kind of post-processing operator. |
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| Keywords: | Global superconvergence mixed finite element method hyperbolic equation |
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