On sinc quadrature approximations of fractional powers of regularly accretive operators Academic Article uri icon

abstract

  • Abstract We consider the finite element approximation of fractional powers of regularly accretive operators via the DunfordTaylor integral approach. We use a sinc quadrature scheme to approximate the Balakrishnan representation of the negative powers of the operator as well as its finite element approximation. We improve the exponentially convergent error estimates from [A. Bonito and J. E. Pasciak, IMA J. Numer. Anal., 37 (2016), No. 3, 12451273] by reducing the regularity required on the data. Numerical experiments illustrating the new theory are provided.

published proceedings

  • Journal of Numerical Mathematics

author list (cited authors)

  • Bonito, A., Lei, W., & Pasciak, J. E.

citation count

  • 19

complete list of authors

  • Bonito, Andrea||Lei, Wenyu||Pasciak, Joseph E

publication date

  • March 2018