Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method

A high-order numerical manifold method with nine-node triangular meshes

“…It should is mentioned that the NMM has been successfully utilized to solve fluid flow by Zhang et al [24] and by Wan et al [25]. In recently, the MLS-based NMM was proposed for solids and structures as well as seepage flow by Zheng et al [26,27], which further demonstrates the flexibility of MC used in the NMM.…”

Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method

“…In addition to the application to solids and structures, NMM is also used to conduct seepage analyses, see [25][26][27] for details.…”

Free and forced vibration analyses using the four-node quadrilateral element with continuous nodal stress

“…Notable among these PU based methods are hp-clouds [24], generalized finite element method (GFEM) [25], particle-partition of unity method [26], numerical manifold method [27][28][29][30][31] and extended finite element method (XFEM) [32]. An attractive feature of PU-based methods is that they are capable of constructing a higher order global approximation by simply increasing the order of the local approximation functions without adding new nodes [33].…”