A wastewater treatment problem:: study of the numerical convergence

被引:7
作者
Alvarez-Vázquez, LJ [1 ]
Martínez, A
Rodríguez, C
Vázquez-Méndez, ME
机构
[1] Univ Vigo, Dept Matemat Aplicada, ETSI Telecommun, Lagoas Marcosende 36200, Vigo, Spain
[2] Univ Santiago de Compostela, Dept Matemat Aplicada, Fac Matemat, Santiago 15706, Spain
关键词
characteristics Galerkin method; numerical convergence; wastewater treatment; measure data;
D O I
10.1016/S0377-0427(01)00399-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We deal with the numerical approximation of a problem related to the management of sewage disposal and the design of wastewater treatment systems. We use a characteristics finite element method for the discretization of the state system. The main difficulty is due to the existence of Radon measures in the right-hand side of the system. We give convergence results and we present numerical experiences for a realistic problem. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:27 / 39
页数:13
相关论文
共 13 条
[1]  
[Anonymous], 1968, TRANSLATIONS MATH MO
[2]  
BERMUDEZ A, 1991, CR ACAD SCI I-MATH, V313, P515
[3]   SOLVING SHALLOW-WATER EQUATIONS BY A MIXED IMPLICIT FINITE-ELEMENT METHOD [J].
BERMUDEZ, A ;
RODRIGUEZ, C ;
VILAR, MA .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1991, 11 (01) :79-97
[4]  
BERMUDEZ A, 1993, MATH CLIMATE ENV
[5]   NUMERICAL-METHODS FOR CONVECTION-DOMINATED DIFFUSION-PROBLEMS BASED ON COMBINING THE METHOD OF CHARACTERISTICS WITH FINITE-ELEMENT OR FINITE-DIFFERENCE PROCEDURES [J].
DOUGLAS, J ;
RUSSELL, TF .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (05) :871-885
[6]  
Marchuk G., 1986, MATH MODELS ENV PROB
[7]   Theoretical and numerical analysis of an optimal control problem related to wastewater treatment [J].
Martínez, A ;
Rodríguez, C ;
Vázquez-Méndez, ME .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (05) :1534-1553
[8]   A control problem related to wastewater treatment [J].
Martínez, A ;
Rodríguez, C ;
Vázquez-Méndez, ME .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (01) :35-40
[9]   A control problem arising in the process of waste water purification [J].
Martínez, A ;
Rodríguez, C ;
Vázquez-Méndez, ME .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 114 (01) :67-79
[10]   ON THE TRANSPORT-DIFFUSION ALGORITHM AND ITS APPLICATIONS TO THE NAVIER-STOKES EQUATIONS [J].
PIRONNEAU, O .
NUMERISCHE MATHEMATIK, 1982, 38 (03) :309-332