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AN IMPROVED SEARCH-EXTENTION METHOD FOR SOLVING SEMILINEAR PDES
Authors:Ziqing Xie   Chuanmiao Chen  Yun Xu
Affiliation:

aInstitute of Computation, Hunan Normal University, Changsha 410081, China

Abstract:This article will combine the finite element method, the interpolated coefftcient finite element method, the eigenfunction expansion method, and the search-extension method to obtain the multiple solutions for semilinear elliptic equations. This strategy not only grently reduces the expensive computation, but also is successfully implemented to obtain multiple solutions for a class of semilinear elliptic boundary value problems with non-odd nonlinearity on some convex or nonconvex domains. Numerical solutions illustrated by their graphics for visualization will show the efficiency of the approach.
Keywords:Semilinear PDES   interpolated coefficient finite element method   multiple solutions   improved search-extension
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