Stability and error analysis of a splitting method using Robin – Robin coupling applied to a fluid–structure interaction problem

Autor:	Johnny Guzmán, Rebecca Durst, Erik Burman
Rok vydání:	2021
Předmět:	Computational Mathematics Numerical Analysis Error analysis Applied Mathematics Fluid–structure interaction Mathematical analysis Boundary value problem Time step Coupling (probability) Stability (probability) Analysis Mathematics
Zdroj:	Numerical Methods for Partial Differential Equations. 38:1396-1406
ISSN:	1098-2426 0749-159X
DOI:	10.1002/num.22840
Popis:	We analyze a splitting method for a canonical fluid structure interaction problem. The splittling method uses a Robin-Robin boundary condition, explicit strategy. We prove the method is stable and, furthermore, we provide an error estimate that shows the error at the final time $T$ is $O(\sqrt{T\Delta t})$ where $\Delta t$ is the time step.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c9c0a34768cfafc6bf9239e47d741b5f https://doi.org/10.1002/num.22840 Zobrazit plný text záznamu Plný text