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- Title
Constructions of Normal Extended Functions for Elliptic Interface Problems.
- Authors
Guanghui Liu; Xiaoling Chen; Cunyun Nie; Haiyuan Yu
- Abstract
It is requisite to construct the normal extended function for a given function defined on the interface. In this paper, the extended function is compulsory to satisfy some interface conditions. Firstly, we construct a proper normal extended correction function which can transfer the interface problem to some non-interface one. The correction function is designed in the form of power series which are helpful to theoretical analysis. Open and closed interface curves are considered respectively. Secondly, a simple but efficient algorithm is presented to obtain the extended function value at any given point not only on the interface, such as some Gaussian points. Finally, we employ the extended function into some interface problems and carry on with some numerical experiments by employing the linear finite element method. Numerical results confirm the validity of normal extended correction functions and the efficiency of the algorithm.
- Subjects
GAUSSIAN function; ALGORITHMS; POWER series; ELLIPTIC functions; FINITE element method
- Publication
IAENG International Journal of Applied Mathematics, 2017, Vol 47, Issue 3, p271
- ISSN
1992-9978
- Publication type
Article