双曲型积分-微分方程的有限体积元方法

Finite Volume Element Methods for Integro-differential Equations of Hyperbolic Type

本文研究了双曲型积分 微分方程的有限体积元方法 ,利用基于有限体积元的Ritz Volterra投影的逼近性质 ,得到了半离散有限体积元解的最优阶L2 ,H1,L∞ 和W1,∞

In this paper,we give the finite volume element methods to solve integro differential equations of hyperbolic type,and use Ritz Volterra projection approximation properties based on the finite volume element to derive the optimal error estimates in L 2,H 1,L ∞ and W 1,∞ norms for semi discrete finite volume element type schemes.