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On improvement of the iterated Galerkin solution of the second kind integral equations
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R. P. Kulkarni
Published/Copyright:
September 1, 2005
For a second kind integral equation with a kernel which is less smooth along the diagonal, an approximate solution obtained by using a method proposed by the author in an earlier paper, is shown to have a higher rate of convergence than the iterated Galerkin solution. The projection is chosen to be either the orthogonal projection or an interpolatory projection onto a space of piecewise polynomials. The size of the system of equations that needs to be solved, in order to compute the proposed solution, remains the same as in the Galerkin method. The improvement of the proposed solution is illustrated by a numerical example.
Published Online: 2005-09-01
Published in Print: 2005-09-01
Copyright 2005, Walter de Gruyter
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Articles in the same Issue
- Partition of unity method on nonmatching grids for the Stokes problem
- Higher-order relaxation schemes for hyperbolic systems of conservation laws
- UR Birkhoff interpolation schemes: reduction criterias
- On improvement of the iterated Galerkin solution of the second kind integral equations
- A class of explicit one-step methods of order two for stiff problems
Articles in the same Issue
- Partition of unity method on nonmatching grids for the Stokes problem
- Higher-order relaxation schemes for hyperbolic systems of conservation laws
- UR Birkhoff interpolation schemes: reduction criterias
- On improvement of the iterated Galerkin solution of the second kind integral equations
- A class of explicit one-step methods of order two for stiff problems
