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The quite general BEM for strongly nonlinear problems. (English) Zbl 0839.65132

Brebbia, C. A. (ed.) et al., Boundary elements XVII. Proceedings of the 17th international conference on boundary elements, BEM 17, held in Madison, WI, USA, in July 1995. Southampton: Computational Mechanics Publications. Boundary Elem. 17, 67-74 (1995).
Summary: A kind of high-order boundary element method (BEM) formulation is given for strongly nonlinear problems governed by quite general differential operators which may not contain any linear operator at all. As a result, the traditional BEM which treats the nonlinear terms as the inhomogeneities is only a special case of the proposed BEM. One simple example is used to illustrate its effectiveness.
For the entire collection see [Zbl 0829.00013].

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations
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