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A new superconvergent projection method for approximate solutions of eigenvalue problems

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Title A new superconvergent projection method for approximate solutions of eigenvalue problems
 
Creator KULKARNI, RP
 
Subject integral equations
projection
eigenvalue
spectral subspace
 
Description We propose here a new method based on projections for approximate solution of eigenvalue problems associated with a compact linear operator. For an integral operator with a smooth kernel using the orthogonal projection onto the space of discontinuous piecewise polynomials of degree less than or equal to r - 1, we show that the new method exhibits the error of the order of 4r for eigenvalue approximation and of the order of 3r for spectral subspace approximation. This improves upon the order 2r for eigenvalue approximation in Galerkin/Iterated Galerkin method and the orders r and 2r for spectral subspace approximation in Galerkin and the Iterated Galerkin method, respectively. We. illustrate this improvement in the order of convergence by a numerical example.
 
Publisher MARCEL DEKKER INC
 
Date 2011-08-18T07:29:55Z
2011-12-26T12:55:37Z
2011-12-27T05:41:36Z
2011-08-18T07:29:55Z
2011-12-26T12:55:37Z
2011-12-27T05:41:36Z
2003
 
Type Article
 
Identifier NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 24(1-2), 75-84
0163-0563
http://dx.doi.org/10.1081/NFA-120020246
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9926
http://hdl.handle.net/10054/9926
 
Language en