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A quasi-boundary-value method for the Cauchy problem for elliptic equations with nonhomogeneous Neumann data
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- Feng, Xiao-Li (author)
- Lanzhou University
-
- Eldén, Lars (author)
- Linköpings universitet,Beräkningsvetenskap,Tekniska högskolan
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- Fu, Chu-Li (author)
- Lanzhou University
- (creator_code:org_t)
- Walter de Gruyter, 2010
- 2010
- English.
- In: Journal of Inverse and Ill-Posed Problems. - : Walter de Gruyter. - 0928-0219 .- 1569-3945. ; 18:6, s. 617-645
- Journal article (peer-reviewed)
Abstract
Subject headings
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- A Cauchy problem for elliptic equations with nonhomogeneous Neumann datain a cylindrical domain is investigated in this paper. For the theoretical aspect the a-prioriand a-posteriori parameter choice rules are suggested and the corresponding error estimatesare obtained. About the numerical aspect, for a simple case results given by twomethods based on the discrete Sine transform and the finite difference method are presented;an idea of left-preconditioned GMRES (Generalized Minimum Residual) methodis proposed to deal with the high dimensional case to save the time; a view of dealingwith a general domain is suggested. Some ill-posed problems regularized by the quasiboundary-value method are listed and some rules of this method are suggested.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Elliptic equation
- a priori
- a posteriori
- discrete sine transform
- finite difference method
- quasi-boundary-value method
- left-preconditioned GMRES
- Numerical analysis
- Numerisk analys
Publication and Content Type
- ref (subject category)
- art (subject category)
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