Gradient discretisation method: Difference between revisions

Revision as of 10:38, 15 November 2016

Revision as of 10:41, 15 November 2016

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The GDM is then in this case a nonconforming method for the approximation of (2), which includes the nonconforming finite element method. Note that the reciprocal is not true, in the sense that the GDM framework includes methods such that the function <math>\nabla_D u</math> cannot be computed from the function <math>\Pi_D u</math>.

Then theThe following error estimate, inspired by [Strang,1972], holds

:<math>\quad (4) \qquad \qquad \Vert \nabla \overline{u} - \nabla_D u_D\Vert_{L^2(\Omega)^d}