Spectral element method for three dimensional elliptic problems with smooth interfaces
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- 关键词：Least-squares methods ; Non-conforming spectral element method ; Linear elliptic PDE in three dimensions ; Interfaces ; Preconditioner ; Exponential accuracy
- 刊名：Computer Methods in Applied Mechanics and Engineering
- 出版年：2017
- 出版时间：1 March 2017
- 年：2017
- 卷：315
- 期：Complete
- 页码：522-549
- 全文大小：627 K
- 卷排序：315
文摘
A fully non-conforming LSSEM is studied for 3D elliptic interface problems. Differentiability estimates and the main stability theorem are proven. Efficient diagonal preconditioner is discussed for 3D elliptic interface problems. Exponential convergence rate is shown through error estimate and numerical examples. Numerical results are obtained for both straight and curved interfaces.