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  • NUMERICAL ANALYSIS  (2)
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  • 1
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    An adaptive computation mesh for the solution of singular perturbation problems (1980)
    In:  CASI
    Details
    Publication Date: 2016-06-07
    Description: In singular perturbation problems, control of zone size variation can affect the effort required to obtain accurate, numerical solutions of finite difference equations. The mesh is generated by the solution of potential equations. Numerical results for a singular perturbation problem in two dimensions are presented. The mesh was used in calculations of resistive magnetohydrodynamic flow in two dimensions.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA. Langley Research Center Numerical Grid Generation Tech.; p 193-196
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 2
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    An adaptive grid with directional control (1993)
    In:  Other Sources
    Details
    Publication Date: 2019-08-28
    Description: An adaptive grid generator for adaptive node movement is here derived by combining a variational formulation of Winslow's (1981) variable-diffusion method with a directional control functional. By applying harmonic-function theory, it becomes possible to define conditions under which there exist unique solutions of the resulting elliptic equations. The results obtained for the grid generator's application to the complex problem posed by the fluid instability-driven magnetic field reconnection demonstrate one-tenth the computational cost of either a Eulerian grid or an adaptive grid without directional control.
    Keywords: NUMERICAL ANALYSIS
    Type: Journal of Computational Physics (ISSN 0021-9991); 108; 1; p. 38-50.
    Format: text
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    NASA TECHNICAL REPORTS
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