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

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.

authors

• Bonito, Andrea

published proceedings

• JOURNAL OF NUMERICAL MATHEMATICS

author list (cited authors)

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

citation count

• 32

complete list of authors

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

publication date

• June 2019

publisher

• DE GRUYTER  Publisher

published in

• Journal of Numerical Mathematics  Journal

keywords

• Finite Element Method
• Fractional Diffusion
• Regularly Accretive Operator
• Sinc Quadrature

Digital Object Identifier (DOI)

• 10.1515/jnma-2017-0116

start page

• 57

end page

• 68

volume

• 27

issue

• 2

URL

• http://dx.doi.org/10.1515/jnma-2017-0116