We develop the general a-priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form "(eps A + C)u = f" subject to homogeneous Dirichlet boundary condition, where A is a symmetric second-order elliptic operator, C is a skew-symmetric first-order differential operator, and eps is a positive parameter. Optimal-order error bounds are derived in various norms, using piecewise polynomial finite elements of degree k >=1.
Residual-free bubbles for advection-diffusion problems: the general error analysis
BREZZI, FRANCO;MARINI, LUISA DONATELLA;
2000-01-01
Abstract
We develop the general a-priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form "(eps A + C)u = f" subject to homogeneous Dirichlet boundary condition, where A is a symmetric second-order elliptic operator, C is a skew-symmetric first-order differential operator, and eps is a positive parameter. Optimal-order error bounds are derived in various norms, using piecewise polynomial finite elements of degree k >=1.File in questo prodotto:
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