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Antonietti, Paola F.; Houston, Paul (2009)
Publisher: Open Journals Systems
Languages: English
Types: Article

Classified by OpenAIRE into

ACM Ref: ComputingMethodologies_COMPUTERGRAPHICS
arxiv: Mathematics::Numerical Analysis, Computer Science::Graphics
We propose an adaptive mesh refinement strategy based on exploiting a combination of a pre-processing mesh re-distribution algorithm employing a harmonic mapping technique, and standard (isotropic) mesh subdivision for discontinuous Galerkin approximations of advection-diffusion problems. Numerical experiments indicate that the resulting adaptive strategy can efficiently reduce the computed discretization error by clustering the nodes in the computational mesh where the analytical solution undergoes rapid variation.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

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