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Formulation and numerical evaluation of a novel twice-interpolation finite element method (TFEM) is presented for solid mechanics problems. In this method, the trial function for Galerkin weak form is constructed through two stages of consecutive interpolation. The primary interpolation follows exactly the same procedure of standard FEM and is further reproduced according to both nodal values and...
A novel numerical method is explored and named as mesh-free poly-cell Galerkin method. An improved moving least-square (MLS) scheme is presented, which can avoid the matrix inversion in standard MLS and can be used to construct shape functions possessing delta Kronecher property. A new type of local support is introduced to ensure the alignment of integral domains with the cells of the background...
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