二维带非线性源项单个守恒律的有限体积方法的收敛性  

CONVERGENCE OF FINITE VOLUME METHOD FOR SCALAR CONSERVATION LAW WITH NONLINEAR SOURCE IN TWO DIMENSION

作　　者：李大明[1] 

机构地区：[1]北京大学数学科学学院,北京100871

出　　处：《数学年刊（A辑）》2003年第3期299-314,共16页Chinese Annals of Mathematics

摘　　要：本文讨论在无结构网格下用有限体积方法离散二维带非线性源项的单个守恒律,在测度值解与Diperna唯一性结果的框架下,证明了估计解在L_(loc)~l(R^2×(0,T))意义下收敛到单个守恒律的熵解。In this paper the scalar conservation law with nonlinear source is discretized by the finite volume scheme (FVM) on unstructured grid. With the aid of the measure valued en-tropy solution and DiPerna uniqueness result the approximate solution converges to entropy solution of the scalar conservation law in L_loc^1(R2 ×(0, T)).

关 键 词：守恒律 有限体积格式 测度值解 

分 类 号：O241.82[理学—计算数学]