【摘要】 对二维两阶不定椭圆问题的基于P1非协调元的有限体积元方法给出了两层网格算法,并得到在H1范数意义下两层网格算法的收敛性估计:‖uh-uh‖1,h≤CH2‖f‖1,‖u-uh‖1,h≤C(h+H2)‖f‖1。更多还原

【Abstract】 The two-grid algorithm of the finite volume element method of second-order indefinite elliptic problems in R2 was presented,based on the P1 nonconforming element.The following error estimates in the H1-norm between the solution of the two-grid algorithm and the finite volume element approximation of the elliptic problem were derived:‖uh-uh‖1,h≤CH2‖f‖1,‖u-uh‖1,h≤C(h+H2)‖f‖1.更多还原