Application of Boundary Element Method to Nonlinear Problems in Fluid Flow

2002 ◽  
Vol 2002.15 (0) ◽  
pp. 797-798
Author(s):  
Nobuyoshi TOSAKA
Keyword(s):  
Fluid Flow ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Nonlinear Problems ◽  
Element Method

scholarly journals Remarks on the boundary element method for strongly nonlinear problems

1993 ◽  
Vol 34 (4) ◽  
pp. 419-438 ◽  
Author(s):  
Keijo Ruotsalainen
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Nonlinear Problems ◽  
Monotone Operators ◽  
Heat Radiation ◽  
Optimal Order ◽  
Nonlinear Boundary Value Problems ◽  
Order Error ◽  
Strongly Nonlinear ◽  
Element Method

AbstractRecently in several papers the boundary element method has been applied to non-linear problems. In this paper we extend the analysis to strongly nonlinear boundary value problems. We shall prove the convergence and the stability of the Galerkin method in Lp spaces. Optimal order error estimates in Lp space then follow. We use the theory of A-proper mappings and monotone operators to prove convergence of the method. We note that the analysis includes the u4 -nonlinearity, which is encountered in heat radiation problems.

Sign in / Sign up

Export Citation Format

Share Document