A boundary element method for a nonlinear boundary value problem in steady-state heat transfer in dimension three
Copyright policy )A boundary element method for a nonlinear boundary value problem in steady-state heat transfer in dimension three
This paper considers the nonlinear modelling of steady-state heat transfer with radiation. The nonlinear boundary value problem in dimension three is reduced to a new boundary variation problem. A boundary element approximation of this problem is given and the rate of convergence of the approximation solution is obtained. Finally, it is pointed out that it is impossible to obtain the same convergence degree as in dimension two.
- Institute of Applied Physics and Computational Mathematics China (People's Republic of)
convergence, Nonlinear boundary value problems for linear elliptic equations, steady-state heat transfer with radiation, Boundary element methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, nonlinear boundary value problem, boundary element method
convergence, Nonlinear boundary value problems for linear elliptic equations, steady-state heat transfer with radiation, Boundary element methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, nonlinear boundary value problem, boundary element method
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