A numerical approach of the sentinel method for distributed parameter systems

DOI10.2478/S11533-007-0031-3zbMath1154.65075OpenAlexW1979630135MaRDI QIDQ931583

Bisso Saley, Aboubakari Traore, Benjamin Mampassi

Publication date: 25 June 2008

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-007-0031-3

zbMATH Keywords

convergencecollocation methodnumerical experimentssentinel methodpseudo-spectral methodChebyshev differentiation matrixunknown source termGauss-Legendre pointsnonlinear parabolic boundary value problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Uses Software

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Cites Work

• Least-squares finite-element methods for optimization and control problems for the Stokes equations
• A revision of J.-L. Lions' notion of sentinels
• Uniform controllability of semidiscrete approximations of parabolic control systems
• The Sentinel Method and Its Application to Environmental Pollution Problems
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
• APPROXIMATION AND PARAMETER ESTIMATION PROBLEMS FOR ALGAL AGGREGATION MODELS
• Spectral Methods in MATLAB
• Transport parameters identification: application of the Sentinel method
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