This paper discusses a 1D one-dimensional mathematical model for the thermoelasticity problem in two-layer plate. Basic equations dimensionless form contain both temperature and displacement. General solutions of homogeneous (displacement equations) are assumed to be linear combination Trefftz functions. Particular these then expressed with appropriately constructed sums derivatives general sol...

because of production process and constrains conditions, circular graphene sheet may be opposed to structural defect and pin hole, respectively. some of the defects and pin hole on a circular graphene sheet can be considered as an eccentric hole on the sheet. hence, analyzing behavior of circular graphene sheet with an eccentric hole is important. free vibration of an eccentric annular graphene...

We present efficient domain decomposition solvers for a class of non-standard finite element methods (FEM). These methods utilize PDE-harmonic trial functions in every element of a polyhedral mesh, and use boundary element techniques locally in order to assemble the finite element stiffness matrices. For these reasons, the terms BEMbased FEM or Trefftz-FEM are sometimes used in connection with ...

The recently developed Flexible Local Approximation MEthod (FLAME) produces accurate difference schemes by replacing the usual Taylor expansion with Trefftz functions – local solutions of the underlying differential equation. The paper introduces a significant extension of FLAME: a least-squares fit instead of the exact match of the approximate solution at the stencil nodes. As a consequence of...

analysis of the stresses, displacements, and horizontal strains of the ground subsidence due to underground excavation in rocks can be accomplished by means of a hybridized higher order indirect boundary element/finite difference (be/fd) formulation. a semi-infinite displacement discontinuity field is discretized (numerically) using the cubic displacement discontinuity elements (i.e. each highe...