Identification of transmissivity coefficients by mollification techniques. I: One-dimensional elliptic and parabolic problems

DOI10.1016/0898-1221(93)90172-RzbMath0774.65089MaRDI QIDQ1802464

Diego A. Murio, Doris Hinestroza G.

Publication date: 11 November 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencenumerical examplesinverse problemsparameter identificationinitial value problemsreservoir simulationfinite differenceill-posed problemsmollificationgroundwater modeling

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Applications to the sciences (65Z05) Inverse problems involving ordinary differential equations (34A55)

Related Items (3)

Identification of transmissivity coefficients by mollification techniques. II: \(n\)-dimensional elliptic problems ⋮ A numerical approach for the determination of a missing boundary data in elliptic problems. ⋮ Coefficient identification in the Euler-Bernoulli equation using regularization methods

Cites Work

• Automatic numerical differentiation by discrete mollification
• Estimation of a temporally and spatially varying diffusion coefficient in a parabolic system by an augmented Lagrangian technique
• Identification of transmissivity coefficients by mollification techniques. II: \(n\)-dimensional elliptic problems
• A variational method for parameter identification
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