Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Quadrilateral mesh adaptation by area functional

Sanjay Kumar Khattri*
Department of Mathematics, University of Bergen, Brunsgt 12, 5008 Bergen, Norway

  Full Text
We present a new approach for robust mesh adaptation. Optimizing a given quadrilateral mesh to the requirement of the problem is the topic of this paper. This research work deals with generating adaptive quadrilateral meshes using a discrete area functional. Optimization of this functional tries to equidistribute error/gradient/factors that cause error (analytically given or computed on the initial mesh) over each quadrilateral cell. This paper presents various examples of generating adaptive meshes.

Keywords:  Quadrilateral mesh; Area functional; Adaptive function, MPFA; Jacobian matrix

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