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A method of grid optimization for finite element methods. (English) Zbl 0509.73071


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74S99 Numerical and other methods in solid mechanics
74P99 Optimization problems in solid mechanics
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
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References:

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[13] Felippa, C.A., Optimization of finite element grids by direct energy search, Appl. math. modelling, 1, 93-96, (1976) · Zbl 0348.65094
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[15] Melosh, R.J.; Marcal, P.V., An energy basis for mesh refinement of structural continua, Internat. J. numer. meths. engrg., 11, 1083-1091, (1977) · Zbl 0359.73065
[16] Shephard, M.S.; Gallagher, R.H.; Abel, J.F., The synthesis of near-optimum finite element meshes with iteractive computer graphics, Internat. J. numer. meths. engrg., 15, 1021-1039, (1980) · Zbl 0443.73060
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