Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates - Dahmen, Wolfgang; Kunoth, Angela (SIAM journal on control and optimization, 2005)
Keywords: Accuracy; Algorithms; Applied sciences; Approximation; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Exact sciences and technology; Fourier transforms; Hilbert space; Mathematical programming; Norms; Operational research and scientific management; Operational research. Management science; inexact iterations; Adaptive algorithm; 65N99. 93B40; Linear form; convergence; Iterative method; adaptive refinements; L2 approximation; Infinite system; Adaptive method; Complexity; preconditioning; Gradient descent; LQ control; Elliptic equation; elliptic boundary value problem; Convergence rate; Boundary control; Numerical control; Quadratic cost; Gradient method; Neumann problem; Optimal algorithm; infinite ł2-system; Elliptic function; Tolerance; Boundary value problem; Weak solution; Wavelet transformation; optimal complexity 65K10; Optimal control; Descent method; wavelets; Distributed control; convergence rates; Quadratic functional