On regularization and discretization control for the numerical solution of inverse problems in parabolic equations

DOI10.1007/BF01939364zbMath0616.65122MaRDI QIDQ1821535

Volkmar Friedrich, Bernd Hofmann

Publication date: 1986

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

numerical examplemodelingregularizationinverse problemsmeasurement errorconstrained least squaresdiscretization controlerror influencenonlinear inverse heat conduction problem

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Inverse problems for PDEs (35R30) Numerical solutions to equations with nonlinear operators (65J15) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Cites Work

• Uncertainty in the solution of linear operator equations
• A predictor-corrector technique for constrained least-squares regularization
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
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