Abstract
The bifurcation function associated with an elliptic boundary value problem Au + g [ u ] = 0 is a vector field B ( ω ) on R d with the property that the solutions of the boundary value problem are in a one-to-one correspondence with the zeros of B. An approximation B h of B using a finite element approach is formulated and optimal order error estimates are given. After the zeros of B h , i.e., approximations for the zeros of B, have been given, the existence of the zeros of B close to the approximations is shown.
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