Panpenalty Finite Element Method
In the finite element analysis of variational problems with constraints, general hybrid/mixed models, based on the classical lagrange multiplier method, usually yield ill-conditioned discrete equations. As a result, the convergence can be assured only when LFB condition is satisfied, and the construction of the element is extremely limited. On the other hand, with penalty function method in the programming theory, convergence can always be assured, but, because of the inherent disadvantage of this method such as instability of numerical solution, slower convergence rate and lower numerical precision etc., pure penalty function method has incurred disrepute in nonlinear programming.
KeywordsVariational Problem Constraint Function Rank Condition Programming Theory Complementary Energy
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