Identification of nonlinear elliptic equations

被引：10
|
作者：
Barbu, V [1 ]
Kunisch, K [1 ]
机构：
[1] TECH UNIV BERLIN,FACHBEREICH MATH,D-10623 BERLIN,GERMANY
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 1996年 / 33卷 / 02期
关键词：
state-dependent parameter estimation; elliptic equations; convex analysis; operator splitting;
D O I：
10.1007/BF01183141
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An optimization theoretic approach and algorithm for the estimation of state-dependent coefficients in nonlinear elliptic equation is presented. It is based on a splitting method combined with convex analysis techniques, Convergence of the algorithm is established and numerical examples are included.
引用
收藏
页码：139 / 167
页数：29
相关论文
共 50 条
  • [41] Existence of Weak Solutions for A Class of Nonuniformly Nonlinear Elliptic Equations of p-Laplacian Type
    Afrouzi, G. A.
    Naghizadeh, Z.
    Mirzadeh, E.
    Amirian, M.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2011, 2 (01): : 21 - 28
  • [42] Boundary control of non-well-posed elliptic equations with nonlinear Neumann boundary conditions
    Shu Luan
    Hang Gao
    Peng Xu
    Optimization Letters, 2012, 6 : 695 - 708
  • [43] Absence of solutions for some elliptic equations and systems in half-space with nonlinear Neumann boundary conditions
    Eric, N
    ADVANCED NONLINEAR STUDIES, 2003, 3 (02) : 219 - 229
  • [44] GLAESER'S TYPE GRADIENT ESTIMATES FOR NON-NEGATIVE SOLUTIONS OF FULLY NONLINEAR ELLIPTIC EQUATIONS
    Dolcetta, Italo Capuzzo
    Vitolo, Antonio
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 28 (02) : 539 - 557
  • [45] Nonlocal fractional elliptic equations and applications
    Shakhmurov, Veli
    Kurulay, Muhammet
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (02) : 923 - 931
  • [46] Discrete problems associated to elliptic equations
    Cuevas, Claudio
    Soto, Herme
    Ubilla, Pedro
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) : 5557 - 5569
  • [47] From trihomographic to elliptic Painleve equations
    Grammaticos, B.
    Ramani, A.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (45)
  • [48] Exponential growth solutions of elliptic equations
    Hang, FB
    Lin, FH
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 1999, 15 (04): : 525 - 534
  • [49] The Dirichlet problem for elliptic equations in the plane
    Cavaliere, Paola
    Transirico, Maria
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2005, 46 (04): : 751 - 758
  • [50] Scalar elliptic equations with a singular drift
    Chernobai, Misha
    Shilkin, Timofey
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (01) : 9 - 33
12345