1. On a variant of the local projection method stable in the SUPG norm
- Creator:
- Knobloch, Petr
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- finite element method, convection-diffusion equation, stability, inf-sup condition, stabilization, SUPG method, local projection method, and error estimates
- Language:
- English
- Description:
- We consider the local projection finite element method for the discretization of a scalar convection-diffusion equation with a divergence-free convection field. We introduce a new fluctuation operator which is defined using an orthogonal L2 projection with respect to a weighted L2 inner product. We prove that the bilinear form corresponding to the discrete problem satisfies an inf-sup condition with respect to the SUPG norm and derive an error estimate for the discrete solution.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public