DocumentCode :
3112836
Title :
The optimal convergence analysis for an immersed finite element method
Author :
Wang, Shuyan ; Chen, Huanzhen
Author_Institution :
Sch. of Math. Sci., Shandong Normal Univ., Jinan, China
fYear :
2011
fDate :
26-28 March 2011
Firstpage :
255
Lastpage :
258
Abstract :
We present a new proof for optimal-convergence of an immersed interface finite element method based on linear polynomials on non-interface triangular elements and modified linear polynomials on interface triangular elements. Optimal-order error estimates are derived in the broken H1-norm and L2-norm by using the well-known bilinear lemma. The proof seems to be more concise and direct.
Keywords :
convergence of numerical methods; finite element analysis; polynomials; bilinear lemma; broken H1 norm; broken L2 norm; immersed interface finite element method; linear polynomial; modified linear polynomial; non-interface triangular element; optimal convergence analysis; optimal order error estimation; Convergence; Finite element methods; Integral equations; Interpolation; Polynomials;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
Type :
conf
DOI :
10.1109/ICIST.2011.5765248
Filename :
5765248
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3112836
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