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2000-24

The Residual Free Bubble Method for Bilinear Finite Elements

by Risch, U..


Series: 2000-24, Preprints

MSC:
65N30 Finite elements, ~Rayleigh-Ritz and Galerkin methods, finite methods
65N12 Stability and convergence of numerical methods

Abstract:
We present an a priori error analysis for the residual free bubble method
applied to diffusion--convection equations with a dominating
and antisymmetric convection operator. The approach is applicable to
general classes of underlying conforming FEM and differs from
the, up to now only known, recently published one. Especially, an
error bound is derived in a norm that includes a stabilization term
in streamline
direction.

Keywords:
finite elements - error estimates - bubbles