Geometrical optimization of trusses by a two-level approximation concept

On the stability of residual-free bubble

On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method

✍ L.P. Franca; A. Nesliturk; M. Stynes 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 998 KB

We consider the Galerkin finite element method for partial differential equations in two dimensions, where the finite-dimensional space used consists of piecewise (isoparametric) polynomials enriched with bubble functions. Writing L for the differential operator, we show that for elliptic convection