A boundary element method based solution procedure for non-linear boundary value problems

✍ Scribed by P.A. Ramachandran

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 844 KB
• Volume: 19
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(90)90358-q

✦ Synopsis

Atmtract. This Imper describes & technique fo¢ the solution of non-linem" boundary value problems in one dlmendon baaed on the boundary dement method. The nonlinearity is handled by a quasilinem-ization over subintervals or dements within the main domain. The weighting functlmm used are the solutions to the one dimensional diffusion operator or the solutions to the adjoint differential equation to the original problem. The paper also describes the development of a computer code to handle the numeriad ~lpects of the problem. A nttmber of illtmtrative problenm are solved tudng this computer code and it is demomtrated that the method is very robust and leads to accurate numerical results for both the dependent v~risble and its derivative at the nodal points. A method of estimating the accuracy of the solution is also prc~nted. A number of problems for which the boundary element method is likely to he imrticularly suitable are pointed out.