Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A boundary element method for a nonlinear boundary value problem in steady-state heat transfer in dimension three

A boundary element method for a nonlinear boundary value problem in steady-state heat transfer in... In this paper, a new method of boundary reduction is proposed, which reduces the steady-state heat transfer equation with radiation. Moreover, a boundary element method is presented for its solution and the error estimates of the numerical approximations are given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

A boundary element method for a nonlinear boundary value problem in steady-state heat transfer in dimension three

Download PDF
14 pages

Loading next page...
 
/lp/springer-journals/a-boundary-element-method-for-a-nonlinear-boundary-value-problem-in-GxYwdPdqYl
Publisher
Springer Journals
Copyright
Copyright © 1997 by Editorial Committee of Applied Mathematics-A Journal of Chinese Universities
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-997-0045-4
Publisher site
See Article on Publisher Site

Abstract

In this paper, a new method of boundary reduction is proposed, which reduces the steady-state heat transfer equation with radiation. Moreover, a boundary element method is presented for its solution and the error estimates of the numerical approximations are given.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Jun 30, 1997

References

  • Sobolev Spaces
    Adams, R. A.
  • Boundary integral equation methods for solving Laplace equation with nonlinear boundary conditions
    Atkinson, K. E.; Chandler, G.
  • The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations
    Babuska, I.; Aziz, A. K.
  • Boundary value problems for nonlinear material and nonlinear boundary conditions
    Bialecki, P.; Nowark, A. J.
  • Boundary Element Techniques
    Brebbia, C. A.; Telles, J. C F.; Wrobel, L. C.
  • Über eine nichtlineare Randwertaufgabe bei der Gleichung Au = 0
    Carleman, T.
  • Boundary Element Methods
    Chen, G.; Zhou, J.
  • The Finite Element Method for Elliptic Problems
    Ciarlet, P. G.
  • A boundary method for Signorini problems in three dimensions
    Han, H.
  • a boundary element method for a nonlinear boundary value problem in steady-state heat transfer
    Han, H.
  • Solution of nonlinear elliptic equations with boundary singularities by an integral equation method
    Kelmanson, M. A.
  • Une methode variationelle d elements finis pour la resolution numerque dun problem extérieur dans
    Nedelec, J. C; Planchard, J.
  • On the boundary element methods for some nonlinear boundary value problems
    Ruotsalainen, K.; Wendland, W. L.
  • Radiation Heat Transfer
    Sparrow, E. M; Cess, R. D.
  • Boundary integro-differential equation and boundary element method for boundary value problems of a partial differential equation of elliptic type in 3-D
    Yang, D.