Cell boundary element methods for convection-diffusion equations | Zendy

Youngmok Jeon | Zendy; EunJae Park | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Cell boundary element methods for convection-diffusion equations

Author(s) -

Youngmok Jeon,

EunJae Park

Publication year - 2006

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2006.5.309

Subject(s) - finite element method , boundary knot method , convection–diffusion equation , boundary (topology) , boundary element method , mathematical analysis , galerkin method , diffusion , singular boundary method , extended finite element method , mathematics , computer science , physics , thermodynamics

The purpose of the paper is to introduce a novel cell boundary element (CBE) method for the convection dominated diffusion equation. The CBE method can be viewed as a Petrov-Galerkin type method defined on the skeleton of a mesh. The proposed method utilizes continuity of normal flux on each inter-element boundary. By constructing a local basis (mesh-oriented element) that is dependent upon the orientation of the mesh we could obtain a stable non-oscillatory numerical scheme. We also consider a local basis (wind- oriented element) which incorporates the wind direction. Numerical examples are presented to compare various elements with the existing method such as the streamline diffusion method (SUPG).

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research