A BOUNDARY APPROXIMATION METHOD FOR FOURTH ORDER PROBLEMS
M. I. Comodi, Rudolf A. Mathon · Mathematical Models and Methods in Applied Sciences · 1991
We study approximate solutions of the biharmonic problem ∆2u=0, by a boundary approximation method for a class of given boundary conditions. We prove an O(n−r) error bound (in the space L2(Ω)) for the solution u belonging to Hr(Ω).