On exact and approximate boundary controllabilities for the heat equation: a numerical approach
作者： C. Carthel , R. Glowinski , J. L. Lions
DOI: 10.1007/BF02192213
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摘要: The present article is concerned with the numerical implementation of Hilbert uniqueness method for solving exact and approximate boundary controllability problems heat equation. Using convex duality, we reduce solution control to identification initial data an adjoint To solve these problems, use a combination finite difference methods time discretization, element space conjugate gradient operator splitting iterative discrete problems. We apply then above methodology test in two dimensions. results validate discussed this clearly show computational advantage using second-order accurate discretization
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