id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-6080	Sváček, Petr	NUMERICAL SOLUTION OF FLUID-STRUCTURE INTERACTION PROBLEMS WITH CONSIDERING OF CONTACTS	2021	8	.pdf	application/pdf	5800	267	63	Dt |tn+1 ≈ (15) 1 JAn+1 3JAn+1u n+1 − 4JAn un + JAn−1u n−1 2∆t or more precisely the time derivative term from (11) is approximated by d dt (∫ Ωt ρu · zdx ) |tn+1 ≈M(U, V )− LM (V ) (16) for U = (u, p) := (un+1, pn+1), V = (z, q) and with M(U, V ) = 3 2∆t ( un+1, z ) Thus, the time discretized weak formulation reads: Find U = (u, p) :	cache/ap-6080.pdf	txt/ap-6080.txt