
doi: 10.1137/0903029
The relative efficiencies of the finite element methods derived from the potential energy formulation and from the mixed formulation for nonlinear shell analysis are compared. The result of this comparison is that the mixed method is considerably more efficient.
Membranes, Finite element methods applied to problems in solid mechanics, Nonlinear elasticity, potential energy formulation, Newton-type methods, mixed formulation for nonlinear shell analysis, Euler-Lagrange equations associated with minimization of strain energy functional, nonlinear shell analysis, Variational principles of physics, mixed method considerably more efficient, modified form of Hellinger-Reissner stationary variational principle, arch problem
Membranes, Finite element methods applied to problems in solid mechanics, Nonlinear elasticity, potential energy formulation, Newton-type methods, mixed formulation for nonlinear shell analysis, Euler-Lagrange equations associated with minimization of strain energy functional, nonlinear shell analysis, Variational principles of physics, mixed method considerably more efficient, modified form of Hellinger-Reissner stationary variational principle, arch problem
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