The finite element method enriched by interpolation covers

摘要: In this paper, we focus on an enriched finite element solution procedure for low-order elements based the use of interpolation cover functions. We consider 3-node triangular and 4-node tetrahedral displacement-based two- three-dimensional analyses, respectively. The standard shape functions are used with over patches to increase convergence scheme. not only capture higher gradients a field variable but also smooth out inter-element stress jumps. Since order interpolations in covers can vary, method provides flexibility different increases accuracy without any local mesh refinement. As pointed out, be derived from various general theoretical approaches basic theory has been presented earlier. evaluate effectiveness method, illustrate power scheme through problems. potential development error measures.