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Article
Analysis of Discrete \(L^2\) Projection on Polynomial Spaces with Random Evaluations
We analyze the problem of approximating a multivariate function by discrete least-squares projection on a polynomial space starting from random, noise-free observations. An area of possible application of such te...
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Article
Convergence Rates for an Adaptive Dual Weighted Residual Finite Element Algorithm
Basic convergence rates are established for an adaptive algorithm based on the dual weighted residual error representation, $$\mbox{er...