Advertisement
Published in:
2005 | OriginalPaper | Chapter
A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case
Authors : Martin J. Gander, Caroline Japhet, Yvon Maday, Frédéric Nataf
Published in: Domain Decomposition Methods in Science and Engineering
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We present and analyze a new nonconforming domain decomposition method based on a Schwarz method with Robin transmission conditions. We prove that the method is well posed and convergent. Our error analysis is valid in two dimensions for piecewise polynomials of low and high order and also in three dimensions for
P
1
elements. We further present an efficient algorithm in two dimensions to perform the required projections between arbitrary grids. We finally illustrate the new method with numerical results.