| INTERPOLATED FINITE ELEMENT METHODS FOR SECOND ORDER HYPERBOLIC EQUATIONS AND THEIR GLOBAL SUPERCONVERGENCE |
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| 作者姓名： | LIN Qun WANG Hong LIN Tao Institute of Systems Science Academia Sinica Beijing China |
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| 作者单位： | LIN Qun;WANG Hong;LIN Tao Institute of Systems Science，Academia Sinica，Beijing 100080，China Department of Mathematics，Univeresity of Wyoming，Laramie，WY 82071，U.S.A. Virginia Polytechnic Institute and State University，Blacksburg，VA 24061，U.S.A. |
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| 基金项目： | This research is supported in part by NSF Grant No.DMS-8922865,and by Funding from the Institute of Scientific Computations at the University of Wyoming through NSF Grant. |
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| 摘 要： | We develop the interpolated finite element method to solve second-order hy-perbolic equations. The standard linear finite element solution is used to generate a newsolution by quadratic interpolation over adjacent elements. We prove that this interpo-lated finite element solution has superconvergence. This method can easily be applied togenerating more accurate gradient either locally or globally, depending on the applications.This method is also completely vectorizable and parallelizable to take the advantages ofmodern computer structures. Several numerical examples are presented to confirm ourtheoretical analysis.
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INTERPOLATED FINITE ELEMENT METHODS FOR SECOND ORDER HYPERBOLIC EQUATIONS AND THEIR GLOBAL SUPERCONVERGENCE |
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| LIN Qun,WANG Hong,LIN Tao Institute of Systems Science,Academia Sinica,Beijing ,China.INTERPOLATED FINITE ELEMENT METHODS FOR SECOND ORDER HYPERBOLIC EQUATIONS AND THEIR GLOBAL SUPERCONVERGENCE[J].Journal of Systems Science and Complexity,1993(4). |
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| Authors: | LIN Qun WANG Hong LIN Tao Institute of Systems Science Academia Sinica Beijing China |
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| Institution: | LIN Qun,WANG Hong,LIN Tao Institute of Systems Science,Academia Sinica,Beijing 100080,China Department of Mathematics,Univeresity of Wyoming,Laramie,WY 82071,U.S.A. Virginia Polytechnic Institute and State University,Blacksburg,VA 24061,U.S.A. |
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| Abstract: | We develop the interpolated finite element method to solve second-order hy-
perbolic equations. The standard linear finite element solution is used to generate a new
solution by quadratic interpolation over adjacent elements. We prove that this interpo-
lated finite element solution has superconvergence. This method can easily be applied to
generating more accurate gradient either locally or globally, depending on the applications.
This method is also completely vectorizable and parallelizable to take the advantages of
modern computer structures. Several numerical examples are presented to confirm our
theoretical analysis. |
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| Keywords: | Interpolated finite element methods hyperbolic equations |
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