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- W2000707454 abstract "We consider a class of numerical schemes for optimal control problems of hyperbolic conservation laws. We focus on finite-volume schemes using relaxation as a numerical approach to the optimality system. In particular, we study the arising numerical schemes for the adjoint equation and derive necessary conditions on the time integrator. We show that the resulting schemes are in particular asymptotic preserving for both, the adjoint and forward equation. We furthermore prove that higher-order time-integrator yields suitable Runge–Kutta schemes. The discussion includes the numerically interesting zero relaxation case." @default.
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- W2000707454 date "2011-09-01" @default.
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- W2000707454 title "Time discretizations for numerical optimisation of hyperbolic problems" @default.
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- W2000707454 doi "https://doi.org/10.1016/j.amc.2011.05.116" @default.
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