Solving the dam problem by means of optimal control over domain
type: Item
instance of: scholarly article
title: Solving the dam problem by means of optimal control over domain
zbMATH Open document ID: 0842.76069
author: O. G. Abushov
author: A. V. Lapin
published in: Russian Mathematics
publication date: 1996-05-12T00:00:00Z
review text: We present a method to solve a dam problem, which is based on its reduction to a problem on optimal control over a domain. Into the coast functional we include the \(L_2\)-norm of normal component of the filtration velocity on the free boundary, which enables us to construct a finite-dimensional approximation. We prove solvability of the problem of optimal control and of the problem with penalty, as well as convergence of solutions with penalty to the solution of original problem.
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 857499
zbMATH Keywords: optimal control
zbMATH Keywords: coast functional
zbMATH Keywords: free boundary
zbMATH Keywords: finite-dimensional approximation
zbMATH Keywords: solvability
zbMATH Keywords: penalty
zbMATH Keywords: convergence
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 857499