High-Order Method for Evaluating Derivatives of Harmonic Functions in Planar Domains

Authors

Jeffrey S. Ovall, Portland State UniversityFollow
Samuel E. Reynolds, Portland State University

Sponsor

Ovall was partially supported by the NSF Grant DMS-1414365

Published In

SIAM Journal on Scientific Computing

Document Type

Post-Print

Publication Date

2018

Subjects

Harmonic functions, Integral equations, Boundary value problems, Dirichlet problem

Abstract

We propose a high-order integral equation based method for evaluating interior and boundary derivatives of harmonic functions in planar domains that are specified by their Dirichlet data.

Description

© 2018, Society for Industrial and Applied Mathematics

DOI

10.1137/17M1141825

Persistent Identifier

https://archives.pdx.edu/ds/psu/26690

Citation Details

Ovall, J. S., & Reynolds, S. E. (2018). A High-Order Method for Evaluating Derivatives of Harmonic Functions in Planar Domains. SIAM Journal on Scientific Computing, 40(3), A1915-A1935.