An introduction to the finite element method with applications to nonlinear problems

書誌事項

An introduction to the finite element method with applications to nonlinear problems

R.E. White

Wiley, c1985

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注記

"A Wiley-Interscience publication."

Includes index

Bibliography: p. 349-350

内容説明・目次

内容説明

A graduate-level text that shows how to write finite element programs or alter existing codes. The book surveys techniques for solving non-linear problems, including incompressible viscous fluid flow and non-linear heat transfer problems. It presents the finite element method, (FEM), explaining approximate solutions to second order linear and non-linear partial differential equations. The book also treats error estimate and non-linear algorithms, and offers numerous exercises, illustrations and computer programs.

目次

The Energy and Weak Formulations. The Finite Element Method for Two-Space-Variable Problems. Assembly by Nodes and a Reduced System Matrix. Shape Functions. Error Estimates and Existence. Time-Dependent Problems. Numerical Solution of Nonlinear Algebraic Systems. Applications to Nonlinear Partial Differential Equations. Variational Inequalities. Appendixes. References. Index.

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