PIMS - AMI Seminar: Benqi Guo

The inverse algebraic approximation is addressed and established the direct and inverse approximation of algebraic polynomials in the Jacobi-weighted Sobolev and Besov spaces. With the approximation theory of algebraic polynomials, we investigate the inverse approximation of the finite element solutions of the p-version, and apply to the inverse approximation theorems for the finite element solutions of the p-version in the Chebyshev-weighted Besov spaces based upon the convergence rate measured in the energy norms for problems of 2nd order in two dimensions.