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LANS Informal Seminar: Jan Nordstrom
July 17, 2012 @ 15:00 CDT
Seminar Title: Initial Boundary Value Problems, Summation-By-Parts Operators and Weak Boundary Conditions with Multi-Physics Applications
Speaker: Jan Nordstrom, Professor in Scientific Computing, Department of Mathematics, Linkoping University, Sweden
Date/Time: 2012-07-17 15:00
Location: Building 240, 1404-1405
Description:
During the last decade, stable high order finite difference methods as well as finite volume methods applied to initial-boundary-value-problems have been developed. The stability is due to the use of so-called summation-by-parts operators (SBP), penalty techniques for implementing boundary and interface conditions, and the energy method for proving stability. In this talk we discuss some aspects of this technique including the relation to the initial-boundary-value-problem. By reusing the main ideas behind the recent development, new coupling precodures for multi-physics applications have been developed. We will present the theory by analyzing simple examples and apply to complex multi-physics problems such as fluid flow problems, elastic and electromagnetic wave propagation, fluid-structure interaction and conjugate heat transfer.