The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials

Journal article (2019)

Authors

Y. Zhang Aerodynamics - Aerospace Engineering

V. Jain Aerodynamics - Aerospace Engineering

A. Palha Eindhoven University of Technology

M.I. Gerritsma Aerodynamics - Aerospace Engineering

Research Group

Aerodynamics (Aerospace Engineering) (TU Delft)

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

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Published Date

2019

Language

English

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Faculty

Aerospace Engineering

Department

Flow Physics and Technology

Research Group

Aerodynamics

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.