Flux identification for 1-𝐝 scalar conservation laws in the presence of shocks

DOI10.1090/S0025-5718-2011-02465-8zbMath1228.49004OpenAlexW1503758506MaRDI QIDQ3094280

Carlos Castro, Enrique Zuazua

Publication date: 24 October 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2011-02465-8

zbMATH Keywords

optimal controlnumerical approximationflux identificationalternating descent method1-d scalar conservation laws

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Sensitivity, stability, parametric optimization (90C31) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (9)

Optimal controllability for scalar conservation laws with convex flux ⋮ Tracking Control of 1D Scalar Conservation Laws in the Presence of Shocks ⋮ Exact and optimal controllability for scalar conservation laws with discontinuous flux ⋮ PERFORMANCE OF A REAL CODED GENETIC ALGORITHM FOR THE CALIBRATION OF SCALAR CONSERVATION LAWS ⋮ Analysis of a system of nonlocal balance laws with weighted work in progress ⋮ Numerical analysis of elastica with obstacle and adhesion effects ⋮ Existence, uniqueness and regularity results on nonlocal balance laws ⋮ Control of 2D scalar conservation laws in the presence of shocks ⋮ Numerical identification of constitutive functions in scalar nonlinear convection-diffusion equations with application to batch sedimentation

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