Numerical solution for an inverse variational problem

被引:2
作者
Garralda-Guillem, A., I [1 ]
Montiel Lopez, P. [2 ]
机构
[1] Univ Granada, Dept Appl Math, ETS Ingn Educ, Granada, Spain
[2] Univ Granada, Ctr Magisterio La Inmaculada, Dept Sci, Granada, Spain
关键词
Inverse problems; Variational inequalities; Minimax inequalities; GENERALIZED COLLAGE METHOD; INITIAL-VALUE PROBLEMS; DIFFERENTIAL-EQUATIONS; THEOREM; SYSTEM;
D O I
10.1007/s11081-021-09671-7
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the present work, firstly, we use a minimax equality to prove the existence of a solution to a certain system of varitional equations providing a numerical approximation of such a solution. Then, we propose a numerical method to solve a collage-type inverse problem associated with the corresponding system, and illustrate the behaviour of the method with a numerical example.
引用
收藏
页码:2537 / 2552
页数:16
相关论文
共 50 条
  • [1] Numerical solution for an inverse variational problem
    A. I. Garralda-Guillem
    P. Montiel López
    Optimization and Engineering, 2021, 22 : 2537 - 2552
  • [2] A minimax approach for inverse variational inequalities
    Montiel Lopez, P.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 90
  • [3] Numerical solution of an inverse medium scattering problem with a stochastic source
    Bao, Gang
    Chow, Shui-Nee
    Li, Peijun
    Zhou, Haomin
    INVERSE PROBLEMS, 2010, 26 (07)
  • [4] A numerical solution to the inverse problem of supersonic-nozzle design
    Martinis, V
    Matijasevic, B
    Tukovic, Z
    STROJNISKI VESTNIK-JOURNAL OF MECHANICAL ENGINEERING, 2002, 48 (04): : 210 - 217
  • [5] Numerical solution of an inverse problem in size-structured population dynamics
    Doumic, Marie
    Perthame, Benoit
    Zubelli, Jorge P.
    INVERSE PROBLEMS, 2009, 25 (04)
  • [6] The numerical solution for the time-fractional inverse problem of diffusion equation
    Shivanian, Elyas
    Jafarabadi, Ahmad
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2018, 91 : 50 - 59
  • [7] Numerical Solution of the Inverse Pharmacokinetic Problem for the Three- Compartment Model
    Kasenov, Syrym
    Urmashev, Baidaulet
    Temirbekov, Almas
    Amantayeva, Aidana
    Journal of Engineering Science and Technology Review, 2020, (Special Issue) : 122 - 126
  • [8] ANALYTICAL-NUMERICAL SOLUTION OF THE INVERSE PROBLEM FOR THE HEAT CONDUCTION EQUATION
    Cialkowski, Michal
    Mackiewicz, Andrzej
    Kolodziej, Jan Adam
    Gampe, Uwe
    Frackowiak, Andrzej
    JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2012, 7 (03) : 239 - 253
  • [9] Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation
    Buerger, Raimund
    Coronel, Anibal
    Sepulveda, Mauricio
    HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 2, 2009, 67 : 445 - +
  • [10] Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method
    Epshteyn, Y.
    Khan, T.
    Riviere, B.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 79 (07) : 1989 - 2000