The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials
Journal Article
(2019)
Author(s)
Yi Zhang (TU Delft - Aerodynamics)
Varun Jain (TU Delft - Aerodynamics)
A Palha da Silva Clerigo (Eindhoven University of Technology)
M.I. Gerritsma (TU Delft - Aerodynamics)
Research Group
Aerodynamics
DOI related publication
https://doi.org/10.1515/cmam-2018-0208
To reference this document use:
https://resolver.tudelft.nl/uuid:b666939f-cdd4-4c51-8dd5-f6b7afa98a15
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Publication Year
2019
Language
English
Related content
Research Group
Aerodynamics
Issue number
3
Volume number
19
Pages (from-to)
645-661
Abstract
In this paper, we will use algebraic dual polynomials to set up a discrete Steklov-Poincaré operator for the mixed formulation of the Poisson problem. The method will be applied in curvilinear coordinates and to a test problem which contains a singularity. Exponential convergence of the trace variable in H 1 / 2 {H^{1/2}} -norm will be shown.
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