Open Access
2- https://doi.org/10.1007/978-3-642-02677-5_20
A Maximum Principle for L 2-Trace Norms with an Application to Optimized Schwarz Methods
- Jan 1, 2009
- Sébastien Loisel +1 more
Abstract
Harmonic functions attain their pointwise maximum on the boundary of the domain. In this article, we analyze the relationship between various norms of nearly harmonic functions and we show that the trace norm is maximized on the boundary of the domain. One application is that the Optimized Schwarz Method with two subdomains converges for all Robin parameters α > 0.
- # Optimized Schwarz Method
- # Optimized Schwarz Methods
- # Pointwise Maximum
- # Trace Norm
- # Harmonic Functions
- # Robin Parameters
- # Schwarz Method
- # Maximum Principle
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