A Simple Boundary Approximation for the Non-symmetric Coupling of the Finite Element Method and the Boundary Element Method for Parabolic-Elliptic Interface Problems

2019
OriginalPaper
Chapter

Published in:

Authors: Christoph Erath; Robert Schorr
Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017
Publisher: Springer International Publishing

Read first chapter Log in

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

The non-symmetric coupling for parabolic-elliptic interface problems on Lipschitz domains was recently analysed in Egger et al. (On the non-symmetric coupling method for parabolic-elliptic interface problems, preprint, 2017, arXiv:1711.08487). In Egger et al. (2017, Section 5) a classical FEM-BEM discretisation analysis was provided, but only with polygonal boundaries. In this short paper we will look at the case where the boundary is smooth. We introduce a polygonal approximation of the domain and compute the FEM-BEM coupling on this approximation. Note that the original quasi-optimality cannot be achieved. However, we are able to show a first order convergence result for lowest order FEM-BEM.

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Business + Economics & Engineering + Technology"

Online-Abonnement

Springer Professional "Business + Economics & Engineering + Technology" gives you access to:

more than 102.000 books
more than 537 journals

from the following subject areas:

Automotive
Construction + Real Estate
Business IT + Informatics
Electrical Engineering + Electronics
Energy + Sustainability
Finance + Banking
Management + Leadership
Marketing + Sales
Mechanical Engineering + Materials
Insurance + Risk

Secure your knowledge advantage now!

inform now

Springer Professional "Engineering + Technology"

Online-Abonnement

Springer Professional "Engineering + Technology" gives you access to:

more than 67.000 books
more than 390 journals

from the following specialised fileds:

Automotive
Business IT + Informatics
Construction + Real Estate
Electrical Engineering + Electronics
Energy + Sustainability
Mechanical Engineering + Materials

Secure your knowledge advantage now!

inform now

Springer Professional "Business + Economics"

Online-Abonnement

Springer Professional "Business + Economics" gives you access to:

more than 67.000 books
more than 340 journals

from the following specialised fileds:

Construction + Real Estate
Business IT + Informatics
Finance + Banking
Management + Leadership
Marketing + Sales
Insurance + Risk

Secure your knowledge advantage now!

inform now

previous chapter Digital Operators, Discrete Equations and Error Estimates

next chapter Galerkin Projection and Numerical Integration for a Stochastic Investigation of the Viscous Burgers’ Equation: An Initial Attempt

Metadata
Literature

Title: A Simple Boundary Approximation for the Non-symmetric Coupling of the Finite Element Method and the Boundary Element Method for Parabolic-Elliptic Interface Problems
Authors: Christoph Erath
Robert Schorr
Publisher: Springer International Publishing
Book: Numerical Mathematics and Advanced Applications ENUMATH 2017
Print ISBN: 978-3-319-96414-0

Electronic ISBN: 978-3-319-96415-7

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-319-96415-7_94

This content is only visible if you are logged in and have the appropriate permissions.