A posteriori error estimates of FEM: for source control problems of semi-linear elliptic equations - Couverture souple

Kim, ChangIl; Ri, JaYong; Ri, KwanHung

 
9786208847807: A posteriori error estimates of FEM: for source control problems of semi-linear elliptic equations
Couverture souple
ISBN 10 : 620884780X ISBN 13 : 9786208847807
Editeur : Scholars' Press, 2025

Synopsis

Different real-life objects and technological processes are mathematical problems that need to be solved to achieve optimal control over the object described by elliptic differential equations. The technique of finite element method has become one of the main tools of numerical methods for solving differential equations today and has found wide application in the solution of the optimal control problem of systems described by differential equations.In this book, we describe the finite element method, error estimation method and detailed numerical simulation method to solve the optimal control problem of some semi-linear second order elliptic differential equations in two dimensions.In Chapter 1, finite element posteriori error estimation, convergence and numerical simulation for the source optimal control problem of semi-linear elliptic equations with nonlinear Robin boundary conditions are presented.In Chapter 2, we evaluate the finite element posteriori error and the priori error for the source optimal control problem of a semi-linear system of convection-diffusion equations with Dirichlet boundary conditions and describe the numerical simulations.

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Éditeur
Scholars' Press
Date d'édition
2025
Langue
anglais
ISBN 10 
620884780X
ISBN 13 
9786208847807
Reliure
Broché
Nombre de pages
156
Coordonnées du fabricant
non disponible
Personne responsable
non disponible