A bifurcation problem for a quasi-linear elliptic boundary value problem
โ Scribed by Mitsuhiro Nakao
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 589 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
The bifurcation function for an elliptic boundary value problem is a vector field B(ฯ) on R d whose zeros are in a one-to-one correspondence with the solutions of the boundary value problem. Finite element approximations of the boundary value problem are shown to give rise to an approximate bifurcat
Strong solvability in the Sobolev space W 2 p is proved for the oblique derivative problem almost everywhere in โu/โ + ฯ x u = ฯ x in the trace sense on โ in the case when the vector field x has a contact of infinite order with โ at the points of some non-empty subset E โ โ .
Parallelization of the algebraic fictitious domain method is considered for solving Neumann boundary value problems with variable coefficients. The resulting method is applied to the parallel solution of the subsonic full potential flow problem which is linearized by the Newton method. Good scalabil