计算数学
計算數學
계산수학
MATHEMATICA NUMERICA SINICA
2001年
2期
129-138
,共10页
有限差分格式%双曲型守恒律%数值熵条件
有限差分格式%雙麯型守恆律%數值熵條件
유한차분격식%쌍곡형수항률%수치적조건
This paper is interested in a system of conservation laws with astiff relaxation term arised in viscoelasticity. The properties of a class of fully implicit finite dif ference methods approximating this system are analyzed, which include maximum principles, bounds on the total variation, L1-bounds, and L1-continuity estimates in term of some conserved physical quantity and the characteristic variables gener ated by difference schemes with proper initial data. These estimates are necessary for the existence of a bounded-total variation (BV) solution. Furthermore, we show that numerical entropy inequalities for some convex entropy pairs of the fully system hold.Keywords:Finite difference scheme, hyperbolic conservation laws,entropy inequality
