The concept of isogeometric analysis is proposed. Basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model. For purposes of analysis, the basis is refined and/or its order elevated without changing the geometry or its parameterization. Analogues of finite element hand p-refinement schemes are presented and a new, more efficient, hi...

Abstract The finite element method (FEM) is commonly used in computational cardiac simulations. For this method, a mesh constructed to represent the geometry and, subsequently, approximate solution. To accurately capture curved geometrical features many elements may be required, possibly leading unnecessarily large computation costs. Without loss of accuracy, reduction cost can achieved by inte...

In this paper an Isogeometric Boundary Element Method for three-dimensional lifting flows based on Morino’s (Morino and Kuo, 1974) formulation is presented. Analysis-suitable T-splines are used the representation of all boundary surfaces unknown perturbation potential approximated by same T-spline basis geometry. A novel numerical application so-called Kutta condition introduced that utilises a...