| 非光滑区域上椭圆型特征值问题的间断有限元方法应用 |
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| 引用本文： | 秦佩华. 非光滑区域上椭圆型特征值问题的间断有限元方法应用[J]. 数值计算与计算机应用, 2012, 33(4): 293-300 |
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| 作者姓名： | 秦佩华 |
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| 作者单位： | 中国科学院大气物理研究所,大气科学和地球流体力学数值模拟国家重点实验室(LASG),北京100029;中国科学院数学与系统科学院研究院,计算数学研究所,北京100080 |
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| 基金项目： | 国家高技术研究发展计划，国家重点基础研究发展计划 |
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| 摘 要： | 本文针对非光滑区域上椭圆特征值特征值问题利用间断有限元方法（DG）近似．利用大量的数值算例发现，DG方法对非光滑区域（凹角，裂缝等问题）上Laplace特征值问题的近似比协调有限元、非协调元（如C—R元），甚至比有限元校正格式有着更好的效果．
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| 关 键 词： | 间断有限元 椭圆型方程 特征值问题 非光滑区域 |
DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS IN NONSMOOTH DOMAIN |
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| Qin Peihua. DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS IN NONSMOOTH DOMAIN[J]. Journal on Numerical Methods and Computer Applications, 2012, 33(4): 293-300 |
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| Authors: | Qin Peihua |
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| Affiliation: | Qin Peihua (LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; LSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China) |
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| Abstract: | Elliptic eigenvalue problems in nonsmooth domain by using of discontinuous galerkin （DG） methods were analyzed. From many numerical results we find that for elliptic eigen- value problems in nonsmooth domain DG methods provide better approximation than other methods, such as conforming of nonconforming finite element method, and finite element defect correction scheme. |
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| Keywords: | discontinuous galerkin methods elliptic problems eigenvalue problem nonsmooth domain |
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