THE WORST CASE COMPLEXITY OF THE FREDHOLM EQUATION OF THE SECOND KIND WITH FREE TERM IN H’(Г)
蒋田仔 · 高等学校计算数学学报：英文版 · 1997
This paper deals with the approximate solution of the Fredholm equation Lu= f of the second kind with f ∈H’(Γ). First, we give the order of the n-the optimal radius in the worst case setting. Then, we show that the Galerkin method using 2n+1 inner products of f has minimal error. Finally, we give the estimate of the e-complexity of the Fredholm problem of the second kind and Galerkin method in the worst case setting.