| QUADRATURE AND EXTRAPOLATION FOR THE VARIABLE COEFFICIENT ELLIPTIC EIGENVALUE PROBLEM |
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| 引用本文： | 丁彦恒,林群. QUADRATURE AND EXTRAPOLATION FOR THE VARIABLE COEFFICIENT ELLIPTIC EIGENVALUE PROBLEM[J]. 系统科学与复杂性, 1990, 0(4) |
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| 作者姓名： | 丁彦恒 林群 |
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| 作者单位： | Department of Mathematics Yunnan University，Kunming，China，Institute of Systems Science，Academia Sinica，Beijing，China |
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| 摘 要： | For the variable coefficient elliptic eigenvalue problem on a smooth domain or aconvex polygonal domain,a numerical quadrature scheme over triangles is used for computingthe coefficient of the resulting linear finite element system.The effect of numerical integrationis studied.The corresponding discrete eigenvalue with linear finite elements is shown to admitasymptotic error expansions for certain classes of“uniform”meshes.Hence,the Richardsonextrapolation increases the accuracy of the scheme from second to fourth order.
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QUADRATURE AND EXTRAPOLATION FOR THE VARIABLE COEFFICIENT ELLIPTIC EIGENVALUE PROBLEM |
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| Ding Yanheng. QUADRATURE AND EXTRAPOLATION FOR THE VARIABLE COEFFICIENT ELLIPTIC EIGENVALUE PROBLEM[J]. Journal of Systems Science and Complexity, 1990, 0(4) |
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| Authors: | Ding Yanheng |
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| Abstract: | |
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| Keywords: | Eigenvalue finite element numerical quadrature Richardson extrapolation |
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