Accurate integration of trimmed cells based on Bezier approximation

In this work, a new adaptive integration method for simulation of two-dimensional linear elasticity problems is presented. The main benefit the proposed reduction computational cost by lowering number points required to reach certain level accuracy. concept calculate weights trimmed cells employing advantage Bezier parametric curves. Within concept, it possible map square triangle with one curved edge where any approximated curve. way, set Gaussian quadrature introduced each cell in fast and robust way. Besides mapping cases, includes supplementary cases as well increase robustness generality method. next step, implemented fictitious domain code MATLAB solve structural problems. results will be compared those obtained through commercial finite element ABAQUS. It shown that accurate robust.