Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions

For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by...

Full description

Saved in:
Bibliographic Details
Published inComputational mathematics and mathematical physics Vol. 47; no. 8; pp. 1268 - 1284
Main Author Potapov, M. M.
Format Journal Article
LanguageEnglish
Published Moscow Springer Nature B.V 01.08.2007
Subjects
Approximation
Boundary conditions
Convergence
Dirichlet problem
Finite difference method
Mathematical analysis
Mathematical models
Studies
Wave equations
Online AccessGet full text
ISSN0965-5425
1555-6662
DOI10.1134/S0965542507080052

Cover

More Information
Summary:For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces.[PUBLICATION ABSTRACT]
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542507080052