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Distributed Lagrange Multiplier for Fluid-Structure Interactions
Distributed Lagrange Multiplier for Fluid-Structure Interactions
International audience; In this paper we make preliminary numerical tests to assess the performance of the scheme introduced in Boffi et al. (SIAM J Numer Anal 53(6):2584–2604, 2015) and analyzed in Boffi and Gastaldi (Numer Math 135(3):711–732, 2017) for the approximation of fluid-structure interaction problems. We show how to implement the scheme within the FreeFem++ framework (Hecht, J Numer Math 20(3–4):251–265, 2012) and validate our code with respect to some known problems and benchmarks. The main conclusion is that a simple implementation can provide quite accurate results for non trivial applications.
- French Institute for Research in Computer Science and Automation France
- Université Paris Diderot France
- Inserm France
- University of Pavia Italy
Microsoft Academic Graph classification: Scheme (programming language) symbols.namesake Simple (abstract algebra) Computer science Lagrange multiplier Structure (category theory) Code (cryptography) symbols Applied mathematics Numerical tests computer computer.programming_language
[INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]
[INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]
Microsoft Academic Graph classification: Scheme (programming language) symbols.namesake Simple (abstract algebra) Computer science Lagrange multiplier Structure (category theory) Code (cryptography) symbols Applied mathematics Numerical tests computer computer.programming_language
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- French Institute for Research in Computer Science and Automation France
- Université Paris Diderot France
- Inserm France
- University of Pavia Italy
International audience; In this paper we make preliminary numerical tests to assess the performance of the scheme introduced in Boffi et al. (SIAM J Numer Anal 53(6):2584–2604, 2015) and analyzed in Boffi and Gastaldi (Numer Math 135(3):711–732, 2017) for the approximation of fluid-structure interaction problems. We show how to implement the scheme within the FreeFem++ framework (Hecht, J Numer Math 20(3–4):251–265, 2012) and validate our code with respect to some known problems and benchmarks. The main conclusion is that a simple implementation can provide quite accurate results for non trivial applications.