A singular Gierer—Meinhardt system of elliptic equations
Y. S. Choi, P. J. McKenna (2000)
Annales de l'I.H.P. Analyse non linéaire
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A singular Gierer—Meinhardt system of elliptic equations
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A second order elliptic problem with axisymmetric data is solved in a finite element space, constructed on a triangulation with curved triangles, in such a way, that the (nonhomogeneous) boundary condition is fulfilled in the sense of a penalty. On the basis of two approximate solutions, extrapolates for both the solution and the boundary flux are defined. Some a priori error estimates are derived, provided the exact solution is regular enough. The paper extends some of the results of...