,CONVERGENCE OF AN IMMERSED INTERFACE UPWIND SCHEME FOR LINEAR ADVECTION EQUATIONS WITH PIECEWISE CO

来源 :计算数学(英文版) | 被引量 : 0次 | 上传用户:liongliong456
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
We study the L1-error estimates for the upwind scheme to the linear advection equations with a piecewise constant coefficients modeling linear waves crossing interfaces.Here the interface condition is immersed into the upwind scheme.We prove that,for initial data with a bounded variation,the numerical solution of the immersed interface upwind scheme converges in L1-norm to the differential equation with the corresponding interface condition.We derive the one-halfth order L1-error bounds with explicit coefficients following a technique used in [25].We also use some inequalities on binomial coefficients proved in a consecutive paper[32].
其他文献
A modification of classical third order methods is proposed. The main advantage of these methods is they do not need evaluate any second order Frechet derivativ
“营改增”是我国税收的制度的一项新的改革措施,主要作用是减少企业的税收,是我国税改中一次重要的改革。“营改增”制度的推行,对房地产企业来说是一次新的发展机遇,使房地
This paper proposes a robust finite element method for a three-dimensional fourth-order elliptic singular perturbation problem. The method uses the three-dimens
“温敏”无核荔枝具备果大、质优、无核率高等优良特性,是荔枝育种上不可多得的种质资源,很值得推广。但在果实发育期间,即使温度条件符合“温敏无核理论”的要求,仍有比例不
An iterative algorithm is proposed and analyzed based on a hybridized mixed finite element method for numerically solving two-phase generalized Stefan interface
芭蕉属(Musa)植物,是热带亚热带植物,常作为重要观叶植物广泛应用于园林绿化及景观布置。但是由于芭蕉属植物多数容易受低温伤害,极大限制了其种植区域,并且低温易造成芭蕉叶
We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive tuing-point type. It is shown that its solution c
In this paper,we investigate a priori error estimates and superconvergence properties for a model optimal control problem of bilinear type,which includes some p
This paper is devoted to the five parameters nonconforming finite element schemes with moving grids for velocity-pressure mixed formulations of the nonstationar