The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials

None, None; None, None; None, None; None, None

The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials

Journal Article (2019)

Author(s)

Yi Zhang (TU Delft - Aerospace Engineering)

Varun Jain (TU Delft - Aerospace Engineering)

Artur Palha (Eindhoven University of Technology)

Marc Gerritsma (TU Delft - Aerospace Engineering)

Research Group

Aerodynamics

Dual Approximation in Trace Spaces Hybrid Finite Element Method Spectral Elements,Domain Decomposition Steklov-Poincaré Operator

DOI related publication

https://doi.org/10.1515/cmam-2018-0208 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:b666939f-cdd4-4c51-8dd5-f6b7afa98a15

More Info

expand_more

Publication Year

2019

Language

English

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.