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A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem
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- Asadzadeh, Mohammad, 1952 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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- Beilina, Larisa, 1970 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
- (creator_code:org_t)
- 2010-09-30
- 2010
- English.
- In: Inverse Problems. - : IOP Publishing. - 0266-5611 .- 1361-6420. ; 26:11
- Journal article (peer-reviewed)
Abstract
Subject headings
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- This study concerns a posteriori error estimates in a globally convergent numerical method for a hyperbolic coefficient inverse problem. Using the Laplace transform the model problem is reduced to a nonlinear elliptic equation with a gradient dependent nonlinearity. We investigate the behavior of the nonlinear term in both a priori and a posteriori settings and derive optimal a posteriori error estimates for a finite-element approximation of this problem. Numerical experiments justify the efficiency of a posteriori estimates in the globally convergent approach.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- reconstruction
- reconstruction
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- ref (subject category)
- art (subject category)
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