Revision as of 01:59, 26 June 2025 edit Croomfolk (talk \| contribs) Extended confirmed users 8,839 edits Adding short description: "Method for numerical differential equations" Tag: Shortdesc helper ← Previous edit		Latest revision as of 09:25, 7 August 2025 edit undo Feydun (talk \| contribs) 191 edits m →The example of a linear diffusion problem: corrected a word Tags: Mobile edit Mobile app edit Android app edit App section source
Line 31: {{NumBlk\|:\|<math>\forall v \in X_{D,0},\qquad \int_{\Omega} \nabla_D u(x)\cdot\nabla_D v(x) dx = \int_{\Omega} f(x)\Pi_D v(x) dx. </math>\|{{EquationRef\|3}}}} 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~~converse 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>. The following error estimate, inspired by G. Strang's second lemma,<ref>'''G. Strang.''' Variational crimes in the finite element method.'' In The mathematical foundations of the finite element method with applications to partial differential equations (Proc. Sympos., Univ. Maryland, Baltimore, Md., 1972)'', pages 689–710. Academic Press, New York, 1972.</ref> holds

Gradient discretisation method: Difference between revisions