Abstract: | The bifurcation function for an elliptic boundary value problem is a vector field B(ω) 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 bifurcation function Bh(ω), which is also a vector field on R d. Estimates of the difference B(ω) − Bh(ω) are derived, and methods for computing Bh(ω) are discussed. © 2000 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 194–213, 2000 |