MARC状态：审校 文献类型：西文图书 浏览次数：19
- 题名/责任者:
- Global superconvergence of finite elements for eliptic equatic equations and its applicatons = 椭圆方程有限元方法的整体超收敛及其应用 / Zi-Cai Li, Hung-Tsai Huang, Ningning Yan.
- 出版发行项:
- 北京 : 科学出版社, 2012.
- ISBN:
- 9787030334794
- 载体形态项:
- xiv, 324 p. : ill. ; 24 cm.
- 变异题名:
- 椭圆方程有限元方法的整体超收敛及其应用
- 个人责任者:
- Li, Zi-Cai(李子才).
- 附加个人名称:
- Huang, Hung-Tsai(黄宏财).
- 附加个人名称:
- Yan, Ningning(严宁宁).
- 论题主题:
- Elliptic equation.
- 中图法分类号:
- O241.82
- 书目附注:
- Includes bibliographical references (p. 306-319) and index.
- 摘要附注:
- This book covers the advanced study on the global superconvegence of elliptic equations in both theory and computation, where the main materials are adapted from our journal papers published. A deep and rather completed analysis of global supperconvergence is explored for bilinear, biquadratic, Adini's and bi-cubic Hermite elements, as well as for the finite difference method. Poisson's and the biharmonic equations are included, and eigenvalue and semi-linear problems are discussed. The singularity problems, blending problems, coupling techniques, a posteriori interpolant techniques, and some physical and engineering problems are studied. Numerical examples are provided for verification of the analysis, and other numerical experiments can be found from our publications. This book has also summarized some important results of Lin, his colleagues and others. This book is written for researchers and graduate students of mathematics and engineering to study and apply the global superconvergence for numerical PDE.
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