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On an effective algorithm for minimizing generalized Trefftz functionals of linear elasticity theory

Journal of Applied Mathematics and Mechanics, 1985
A Lagrangian functional is constructed to get the minimum of the generalized Trefftz functional of the three-dimensional linear elasticity. The existence of the saddle point of Lagrangian functional is proven and the interpretation of Lagrange multiplier is given. An algorithm is proposed for searching for the saddle point in coordinate functions.
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Interpolation functions of a hybrid-Trefftz perforated super-element featuring nodes on the hole boundary

Finite Elements in Analysis and Design, 2014
The topic of the paper is related to the macroscopic modelling of riveted assemblies for full-scale aircraft structures subjected to crash/impact loadings. “Super-elements” have been developed to model the rivet and its rupture. However, stress concentrations in riveted assemblies can also initiate cracks from hole boundaries that propagate to the next
Hennuyer, Claire +3 more
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Homotopy perturbation method and Trefftz functions in the source function identification

2013
Grysa, Krzysztof, Maciąg, Artur
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Singular Trefftz Functions for Modelling Material Reinforced by Hard Particles