A strongly nonlinear problem arising in glaciology

被引：0
|
作者：
Colinge, J
Rappaz, J
机构：
[1] Univ Geneva, Sect Math, CH-1227 Acacias, Switzerland
[2] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland
来源：
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1999年 / 33卷 / 02期
关键词：
nonlinear problem; finite elements; convex analysis; calculus of variations; glaciology;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The computation of glacier movements leads to a system of nonlinear partial differential equations. The existence and uniqueness of a weak solution is established by using the calculus of variations. A discretization by the finite element method is done. The solution of the discrete problem is proved to be convergent to the exact solution. A first simple numerical algorithm is proposed and its convergence numerically studied.
引用
收藏
页码：395 / 406
页数：12
相关论文
共 50 条
  • [1] WELL-POSEDNESS RESULTS FOR A NONLINEAR STOKES PROBLEM ARISING IN GLACIOLOGY
    Chen, Qingshan
    Gunzburger, Max
    Perego, Mauro
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2013, 45 (05) : 2710 - 2733
  • [2] Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology
    Glowinski, R
    Rappaz, J
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2003, 37 (01): : 175 - 186
  • [3] Analytical approximate technique for strongly nonlinear oscillators problem arising in engineering
    Khan, Y.
    Latifizadeh, H.
    Rafieipour, H.
    Hesameddini, E.
    ALEXANDRIA ENGINEERING JOURNAL, 2012, 51 (04) : 351 - 354
  • [4] WELL POSEDNESS OF A COUPLED ICE-HYDROLOGY PROBLEM ARISING IN GLACIOLOGY
    Bertagna, Luca
    Gunzburger, Max
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2017, 49 (02) : 699 - 722
  • [5] Iterative methods for solving a nonlinear boundary inverse problem in glaciology
    Avdonin, S.
    Kozlov, V.
    Maxwell, D.
    Truffer, M.
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2009, 17 (03): : 239 - 258
  • [6] Solution of strongly nonlinear oscillator problem arising in Plasma Physics with Newton Harmonic Balance Method
    Joubari, Mohammad Mehdi Mashinchi
    Jouybari, Hamid Javanian
    Pashaei, Mohammad Hadi
    JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2015, 1 (02): : 59 - 66
  • [7] A least-squares finite element method for a nonlinear Stokes problem in glaciology
    Monnesland, Irene Sonja
    Lee, Eunjung
    Gunzburger, Max
    Yoon, Ryeonglcyung
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (11) : 2421 - 2431
  • [8] On a parabolic strongly Nonlinear problem on manifolds
    Marinho, Alexandro O.
    Louredo, Aldo. T.
    Lima, Osmundo A.
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2008, (13) : 1 - 20
  • [9] A DIFFRACTION PROBLEM FOR STRONGLY NONLINEAR EQUATIONS
    SAMOKHIN, VN
    MATHEMATICAL NOTES, 1987, 42 (1-2) : 645 - 648
  • [10] A nonlinear Steklov problem arising in corrosion modeling
    Pagani, C. D.
    Pierotti, D.
    Verzini, G.
    Zilio, A.
    CONTRIBUTIONS TO NONLINEAR ELLIPTIC EQUATIONS AND SYSTEMS, 2015, 86 : 371 - 387
12345