Numerical convergence for a sewage disposal problem
type: Item
instance of: scholarly article
title: Numerical convergence for a sewage disposal problem
zbMATH Open document ID: 1197.76080
DOI: 10.1016/S0307-904X(01)00030-0
published in: Applied Mathematical Modelling
publication date: 2002-05-15T00:00:00Z
review text: The management of sewage disposal and the design of wastewater treatment systems can be formulated as a constrained pointwise optimal control problem. In this paper we study the convergence of the numerical resolution for the corresponding state system by means of a characteristics Galerkin method. The main difficulty of the problem is due to the existence of Radon measures in the right-hand side of the state system. Finally, we present numerical results for a realistic problem posed in a ria of Galicia, Spain.
Mathematics Subject Classification ID: 76M10
zbMATH DE Number: 1741539
author: Lino J. Alvarez-Vázquez
author: Aurea Martínez
author: Carmen Rodríguez
author: Miguel Ernesto Vázquez-Méndez
MaRDI profile type: Publication
cites work: Q4281209
cites work: Solving Shallow Water Equations by a Mixed Implicit Finite Element Method
cites work: Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
cites work: Q5562267
cites work: Q3731334
cites work: A control problem arising in the process of waste water purification
cites work: Theoretical and Numerical Analysis of an Optimal Control Problem Related to Wastewater Treatment
cites work: On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
cites work: Q3817902
cites work: Q4890329
cites work: Finite element convergence for singular data
full work available at URL: s0307-904x(01)00030-0
OpenAlex ID: W2016244049
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description: scientific article; zbMATH DE number 1741539