Mesh free methods : moving beyond the finite element method

By: Liu, G. RMaterial type: TextTextPublication details: Boca Raton, Fla. : CRC Press, c2003Description: 691 p. : illustrationsISBN: 0849312388 (alk. paper); 9780849312380Subject(s): Engineering mathematics | Numerical analysisDDC classification: 620.00151 Online resources: Click here to access online
Contents:
Introduction -- Mesh free methods for engineering problems -- Mechanics of solids and structures -- Principles for weak forms -- MFree shape function construction -- Element free Galerkin method -- Meshless local Petrov-Galerkin method -- Point interpolation methods -- Mesh free methods for fluid dynamics problems -- Mesh free methods for beams -- Mesh free methods for plates -- Mesh free methods for shells -- Boundary mesh free methods -- Mesh free methods coupled with other methods -- Implementation issues -- MFree2D.
Summary: As engineers attempt to solve problems of increasing complexity, they must develop and learn new methods for doing so. This book provides full, step-by-step details of mesh free methods that can effectively handle a variety of mechanics problems, systematically exploring their theories, principles, and procedures.
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Included Index.

Introduction --
Mesh free methods for engineering problems --
Mechanics of solids and structures --
Principles for weak forms --
MFree shape function construction --
Element free Galerkin method --
Meshless local Petrov-Galerkin method --
Point interpolation methods --
Mesh free methods for fluid dynamics problems --
Mesh free methods for beams --
Mesh free methods for plates --
Mesh free methods for shells --
Boundary mesh free methods --
Mesh free methods coupled with other methods --
Implementation issues --
MFree2D.

As engineers attempt to solve problems of increasing complexity, they must develop and learn new methods for doing so. This book provides full, step-by-step details of mesh free methods that can effectively handle a variety of mechanics problems, systematically exploring their theories, principles, and procedures.

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