On a variant of the local projection method stable in the SUPG norm

Title:

On a variant of the local projection method stable in the SUPG norm

Creator:

Knobloch, Petr

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ae35a7ea-ec20-4bfa-ada7-d4f7d73c6f70
uuid:ae35a7ea-ec20-4bfa-ada7-d4f7d73c6f70

Subject:

finite element method, convection-diffusion equation, stability, inf-sup condition, stabilization, SUPG method, local projection method, and error estimates

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[634]-645

Source:

Kybernetika | 2009 Volume:45 | Number:4

Harvested from:

CDK

Metadata only:

false