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Finite Elements Methods on Non-Aligned Meshes for Interface Problems Sarkis, Marcus
Description
We define two finite element methods for elliptic problems with possibly discontinuous diffusion coefficients and divergence constraints where the meshes are not aligned with the interface. The first method is based on Immersed Interface Methods while the second one on Nitsche's methods. In order to obtain apriori error estimates totally independent of the contrast between diffusion coefficients and independent on how the interface crosses the mesh, we consider stabilizations based on the jump of the flux as well as the jump of solution across elements.
Item Metadata
Title |
Finite Elements Methods on Non-Aligned Meshes for Interface Problems
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-05-13T09:03
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Description |
We define two finite element methods for
elliptic problems with possibly discontinuous diffusion coefficients and
divergence constraints where the
meshes are not aligned with the interface. The first method is based
on
Immersed Interface Methods while the second one on Nitsche's
methods.
In order to obtain apriori error estimates totally independent of
the
contrast between diffusion coefficients and independent on how the
interface crosses the mesh, we consider stabilizations based on
the jump of the flux as well as the jump of solution across elements.
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Extent |
31 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Mathematical Sciences Department - Worcester Polytechnic Institute
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Series | |
Date Available |
2017-10-13
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0357043
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International