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On the numerical analysis of the Von Kármán equations: Mixed finite element approximation and continuation techniques. (English) Zbl 0503.73048


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74S99 Numerical and other methods in solid mechanics
65K10 Numerical optimization and variational techniques
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
90C52 Methods of reduced gradient type
74K20 Plates
74S30 Other numerical methods in solid mechanics (MSC2010)
49R50 Variational methods for eigenvalues of operators (MSC2000)
65N15 Error bounds for boundary value problems involving PDEs
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
47B38 Linear operators on function spaces (general)
58E07 Variational problems in abstract bifurcation theory in infinite-dimensional spaces
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
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References:

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[22] Rabier, P.: Contributions à l’étude de problèmes non linéaires. Thèse Université Pierre et Marie Curie. Paris 1980
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