1998/05/19 by Thomas L. Beck, Beck, Thomas L.
Computer Science · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #Computational Geometry and Mesh Generation #Computer Graphics and Visualization Techniques #FOS: Physical sciences #physics.chem-ph
paper · pdf · doi:10.48550/arxiv.physics/9805025
Submmitted to Journal of Computational Physics
openalex publication_date 1998/05/19 · arxiv created 1998/05/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A method for performing high order mesh refinement multigrid computations is presented. The Full Approximation Scheme (FAS) multigrid technique is utilized for a sequence of nested patches of increasing resolution. Conservation forms are generated on coarse scales by additional defect correction terms which counter the local excess fluxes at the boundaries. Formulas are given for arbitrary order, extending the existing technique of Bai and Brandt. Test calculations are presented for a singular source in three dimensions which illustrate the multigrid convergence properties, numerical accuracy, and correct order of the approach. Applications for all electron quantum chemical computations are discussed.