The Isogeometric Finite Cell Analysis (IGA-FCM) is a combination of the Isogeometric Analysis (IGA) and the Finite Cell Method (FCM) that can be applied to solve immersed problems. IGA is a well-established higher-order Finite Element Method (FEM) that relies on B-splines basis functions, as ansatz and test functions, and is known for its high accuracy per Degree of Freedom (dof). FCM is a fictitious domain method that simplifies the cumbersome mesh generation for geometrical complex structures. In this thesis, IGA-FCM is applied to solve a one-dimensional wave propagation problem. Efficient solvers for such a problem depend upon diagonal system matrices for the explicit time marching scheme. For IGA, dual basis functions or approximate dual basis functions with mass lumping, as test functions, can attain such matrices for boundary-conforming problems without compromising accuracy. Herein, those are applied for the discretization of the immersed wave problem. Their asymptotic and transient accuracy is quantified and compared against regular IGA-FCM with B-spline test functions and no mass lumping.     «

The Isogeometric Finite Cell Analysis (IGA-FCM) is a combination of the Isogeometric Analysis (IGA) and the Finite Cell Method (FCM) that can be applied to solve immersed problems. IGA is a well-established higher-order Finite Element Method (FEM) that relies on B-splines basis functions, as ansatz and test functions, and is known for its high accuracy per Degree of Freedom (dof). FCM is a fictitious domain method that simplifies the cumbersome mesh generation for geometrical complex structures....     »