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The Discrete Steklov–Poincaré Operator Using Algebraic Dual Polynomials

  • Yi Zhang ORCID logo EMAIL logo , Varun Jain , Artur Palha and Marc Gerritsma

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 H1/2-norm will be shown.

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Received: 2018-08-13
Accepted: 2019-03-05
Published Online: 2019-05-07
Published in Print: 2019-07-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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