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The differential quadrature hierarchical finite element method
(DQHFEM) was proposed by Bo Liu. This method incorporated the
advantages and the latest research achievements of the hierarchical
finite element method (HFEM), the differential quadrature method
(DQM) and the isogeometric analysis (IGA). The DQHFEM also overcame
many limitations or difficulties of the three methods.This unique
compendium systemically introduces the construction of various
DQHFEM elements of commonly used geometric shapes like triangle,
tetrahedrons, pyramids, etc. Abundant examples are also included
such as statics and dynamics, isotropic materials and composites,
linear and nonlinear problems, plates as well as shells and solid
structures.This useful reference text focuses largely on numerical
algorithms, but also introduces some latest advances on high order
mesh generation, which often has been regarded as the major bottle
neck for the wide application of high order FEM.
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