Non-negative moment fitting quadrature for cut finite elements and cells undergoing large deformations

Abstract Fictitious domain methods, such as the finite cell method, simplify discretization of a significantly. This is because mesh does not need to conform interest. However, generation simplified, broken cells with discontinuous integrands must be integrated using special quadrature schemes. The moment fitting very efficient scheme for integrating since number integration points generated much lower compared commonly used adaptive octree scheme. standard rules can lead negative weights. Whereas weights might cause any difficulties when solving linear problems, this change drastically considering nonlinear problems hyperelasticity or elastoplasticity. Then divergence Newton-Raphson method applied within incremental/iterative procedure computation. In paper, we extend constraints that ensure positive equations. achieved by employing so-called non-negative least square solver. performance will illustrated different numerical examples in and