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The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition
M Cafiero1, O Lloberas-Valls1, J Cante2
1CIMNE - Centre Internacional de Metodes Numerics en Enginyeria, Barcelona, Spain.
Computational Mechanics
|July 19, 2016
Summary
A novel domain decomposition technique effectively connects non-conforming interfaces using a discretized interface and Lagrange multipliers. This flexible, non-intrusive method offers an attractive alternative for finite element analysis.
Area of Science:
- Computational Mechanics
- Numerical Analysis
Background:
- Connecting non-conforming interfaces in domain decomposition is challenging.
- Existing methods like the mortar approach have limitations.
Purpose of the Study:
- To propose a new domain decomposition technique for arbitrary non-conforming interfaces.
- To develop a flexible and non-intrusive method compatible with industrial finite element codes.
Main Methods:
- A fictitious zero-width interface discretized using Delaunay triangulation.
- Lagrange multipliers to enforce continuity of normal and tangential stresses.
- Handling of floating subdomains without altering standard finite element code structures.
Main Results:
- Demonstrated effectiveness through patch tests and accuracy assessments.
- Results show independence from framework parameters.
- The method successfully nullifies the gap between domains.
Conclusions:
- The proposed domain decomposition framework is flexible and non-intrusive.
- It offers an attractive alternative to established techniques.
- The method is suitable for implementation in industrial finite element codes.
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