A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods

International Journal of Computational Methods

Volumn 5, Issue 2, 2008, Pages 199-236

  Liu, G R ^a,b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b SINGAPORE MIT ALLIANCE   (Singapore)

Author keywords

Bilinear form; Elasticity; Finite element method; Galerkin weakform; Meshfree method; Numerical method; Point interpolation method; Smoothing operation; Solution bound; Variational principle

Indexed keywords

BANACH SPACES; BIOELECTRIC PHENOMENA; COMPUTATIONAL MECHANICS; COMPUTATIONAL METHODS; CURVE FITTING; GALERKIN METHODS; GEOTECHNICAL ENGINEERING; GRADIENT METHODS; HILBERT SPACES; INTERMODULATION; INTERMODULATION MEASUREMENT; INTERPOLATION; MATERIALS SCIENCE; MESH GENERATION; NUMBER THEORY; NUMERICAL ANALYSIS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; SOLID SOLUTIONS; SOLUTIONS; SPEED; STEEL BEAMS AND GIRDERS; THEOREM PROVING;

BILINEAR FORMS; CELL-BASED; DISPLACEMENT FUNCTIONS; EXACT SOLUTIONS; FINITE ELEMENT METHOD (FEM); GALERKIN; GALERKIN FORMULATION; GRADIENT SMOOTHING; GREEN'S THEOREM; HILBERT; LINE SEGMENTS; NODE-BASED; NUMERICAL EXAMPLES; POINT INTERPOLATION METHOD (PIM); SMOOTHED FINITE ELEMENT METHOD; SOLID MECHANICS; SPECIAL PROPERTIES; STRAIN FIELDS; TRIANGULAR MESHES; UPPER BOUND SOLUTIONS; UPPER BOUNDS;

FINITE ELEMENT METHOD;

EID: 47149092854     PISSN: 02198762     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219876208001510     Document Type: Article

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