Content deleted Content added
m link |
m →The example of a linear diffusion problem: corrected a word Tags: Mobile edit Mobile app edit Android app edit App section source |
||
| (One intermediate revision by one other user not shown) | |||
Line 1:
{{Short description|Method for numerical differential equations}}
<!-- {{more footnotes|date=March 2017}} answer and improvement completed by Cyclotourist -->
[[Image:Plaplacien4.svg|thumb|right|400px|Exact solution <br/> <math>\overline{u}(x) = \frac 3 4 \left({0.5}^{4/3}- |x - 0.5|^{4/3}\right)</math> <br/>
Line 30 ⟶ 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
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
| |||