A priori error estimate for a well-balanced scheme designed for inhomogeneous scalar conservation laws

被引：15

作者：

Gosse, L ^{[1
]}

机构：

[1] Fdn Res & Technol Hellas, Inst Appl & Computat Math, Heraklion 71110, Crete, Greece

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 327卷 / 05期

关键词：

D O I：

10.1016/S0764-4442(99)80024-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this Note is to derive an a-priori error estimate for the approximate solution generated by means of the numerical scheme proposed in [5] and extensively studied in [4]. This scheme belongs to the class of well-balanced schemes introduced by Greenberg and LeRoux [6]; its main features are its robustness and its ability to preserve the correct steady-states of the continuous problem. Here, we show that it is endowed with the usual O(root Delta x) error in most cases. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：467 / 472

页数：6

共 10 条

[1] [Anonymous], 1970, MATH USSR SB
[2] Bardos C., 1979, COMMUN PART DIFF EQ, V4, P1017, DOI DOI 10.1080/03605307908820117
[3] BOUCHUT F, 1996, IN PRESS T AM MATH S
[4] Godunov SK., 1959, MAT SBORNIK, V89, P271
[5] Gosse L, 1996, CR ACAD SCI I-MATH, V323, P543
[6] Gosse L, 1997, THESIS U PARIS 9 DAU
[7] A well-balanced scheme for the numerical processing of source terms in hyperbolic equations
Greenberg, JM
Leroux, AY
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (01) : 1 - 16
[8] KATSOULAKIS MA, 1997, 973 U CRET DEP MATH
[9] Kuznetsov N. N., 1976, USSR COMP MATH MATH, V16, P105, DOI DOI 10.1016/0041-5553(76)90046-X
[10] Volpert A. I., 1967, Maths. USSR Sb., V2, P225, DOI [10.1070/SM1967v002n02ABEH002340, DOI 10.1070/SM1967V002N02ABEH002340]

← 1 →