Solving an Ill-Posed Cauchy Problem for a Two-Dimensional Parabolic PDE with Variable Coefficients Using a Preconditioned GMRES Method

DOI10.1137/130951166zbMath1332.65139OpenAlexW2024401988MaRDI QIDQ2940024

Lars Eldén, Zohreh Ranjbar

Publication date: 23 January 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-111837

zbMATH Keywords

inverse problemCauchy problemiterative methodsnumerical experimentill-posedsideways parabolic equationGMRES preconditioningsingular preconditioner

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Iterative numerical methods for linear systems (65F10) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Preconditioners for iterative methods (65F08)

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