论文信息 - On finite element approximation of the gradient for solution of Poisson equation

On finite element approximation of the gradient for solution of Poisson equation

SummaryA nonconforming mixed finite element method is presented for approximation of ∇w with Δw=f,w|r=0. Convergence of the order $$\left\| {\nabla w - u_h } \right\|_{0,\Omega } = \mathcal{O}(h^2 )$$ is proved, when linear finite elements are used. Only the standard regularity assumption on triangulations is needed.

Pekka Neittaanmäki | J. Saranen

[1] Max Gunzburger,et al. On finite element methods of the least squares type , 1979 .

[2] M. Zlámal,et al. Superconvergence of the gradient of finite element solutions , 1979 .

[3] Über die approximation der lösungen der maxwellschen randwertaufgabe mit der methode der finiten elemente , 1980 .

[4] Pekka Neittaanmäki,et al. Error estimates for the finite element approximation to a maxwell-type boundary value problem , 1980 .