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Finite element methods (part 2), numerical methods for solids (part 2). (English) Zbl 0864.65001
Handbook of Numerical Analysis 4. Amsterdam: North-Holland (ISBN 0-444-81794-8). 984 p. (1995).

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The five contributions to this part of the Handbook will be reviewed individually.
Contents: Finite Element Methods (Part 2): O. C. Zienkiewicz, Origins, milestones and directions of the finite element method – a personal view (3-67), P. L. George, Automatic mesh generation and finite element computation (69-190). Numerical Methods for Solids (Part 2): E. Christiansen, Limit analysis of collapse states (193-312), J. Haslinger, I. Hlaváček, and J. Nečas, Numerical methods for unilateral problems in solid mechanics (313-485), L. Trabucho and J. M. Viaño, Mathematical modelling of rods (487-974).
The former parts have been reviewed in Zbl 0689.65001 [Vol. I: Finite Difference Methods (Part 1), Solution of Equations in \(\mathbb{R}^n\) (Part 1)]; in Zbl 0712.65091 [Vol. II: Finite Element Methods (Part 1)]; in Zbl 0806.65001 [Vol. III: Techniques of Scientific Computing (Part 1), Numerical Methods for Solids (Part 1), Solutions of Equations in \(\mathbb{R}^n\) (Part 2)].

MSC:
65-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis
74-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to mechanics of deformable solids
00A20 Dictionaries and other general reference works
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74Sxx Numerical and other methods in solid mechanics
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