A Numerical Method for Solving Elliptic Interface Problems Using Petrov-Galerkin Formulation with Adaptive Refinement
Joint Authors
Wang, Liqun
Hou, Songming
Shi, Liwei
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Elliptic interface problems have wide applications in engineering and science.
Non-body-fitted grid has the advantage of saving the cost of mesh generation.
In this paper, we propose a Petrov-Galerkin formulation using non-body-fitted grid for solving elliptic interface problems.
In this method, adaptive mesh refinement is employed for cells with large errors.
The new mesh still has all triangles being right triangles of the same shape.
Numerical experiments show side-by-side comparison that to obtain the same accuracy, our new method has much less overall CPU time compared with the previous method even with some cost on mesh generation.
American Psychological Association (APA)
Wang, Liqun& Hou, Songming& Shi, Liwei. 2018. A Numerical Method for Solving Elliptic Interface Problems Using Petrov-Galerkin Formulation with Adaptive Refinement. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1207046
Modern Language Association (MLA)
Wang, Liqun…[et al.]. A Numerical Method for Solving Elliptic Interface Problems Using Petrov-Galerkin Formulation with Adaptive Refinement. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1207046
American Medical Association (AMA)
Wang, Liqun& Hou, Songming& Shi, Liwei. A Numerical Method for Solving Elliptic Interface Problems Using Petrov-Galerkin Formulation with Adaptive Refinement. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1207046
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207046