Garhuom, WadhahWadhahGarhuomUsman, KhuldoonKhuldoonUsmanDüster, AlexanderAlexanderDüster2022-03-142022-03-142022-01-30Computational Mecahnics 69 (5): 1225-1240 (2022)http://hdl.handle.net/11420/11988Broken cells in the finite cell method—especially those with a small volume fraction—lead to a high condition number of the global system of equations. To overcome this problem, in this paper, we apply and adapt an eigenvalue stabilization technique to improve the ill-conditioned matrices of the finite cells and to enhance the robustness for large deformation analysis. In this approach, the modes causing high condition numbers are identified for each cell, based on the eigenvalues of the cell stiffness matrix. Then, those modes are supported directly by adding extra stiffness to the cell stiffness matrix in order to improve the condition number. Furthermore, the same extra stiffness is considered on the right-hand side of the system—which leads to a stabilization scheme that does not modify the solution. The performance of the eigenvalue stabilization technique is demonstrated using different numerical examples.en1432-09242022512251240Springerhttps://creativecommons.org/licenses/by/4.0/Finite cell methodCondition numberEigenvaluesStabilizationLarge deformationsPhysikTechnikIngenieurwissenschaftenResearch Report10.15480/882.432410.1007/s00466-022-02140-710.15480/882.4324Other