PIMS/AMI Seminar: Benqi Guo

Abstract:

The inverse algebraic approximation is addressed and established in the Jacobi-weighted Sobolev and Besov spaces. With the inverse approximation of algebraic polynomials, we investigate the inverse approximation of the finite element solutions of the p-version, and prove 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 in two dimensions.