Publications [#383723] of Guglielmo Scovazzi

Papers Published

1. Antonelli, N; Aristio, R; Gorgi, A; Zorrilla, R; Rossi, R; Scovazzi, G; Wüchner, R, The Shifted Boundary Method in Isogeometric Analysis, Computer Methods in Applied Mechanics and Engineering, vol. 430 (October, 2024) [doi]
   (last updated on 2026/01/20)

   Abstract:
   This work presents a novel application of the Shifted Boundary Method (SBM) within the Isogeometric Analysis (IGA) framework, applying it to two-dimensional and three-dimensional Poisson problems with Dirichlet and Neumann boundary conditions. The SBM boundary condition imposition is achieved by means of a fully penalty-free formulation, eliminating the need for penalty calibration. The numerical experiments demonstrate how order elevation, coupled with SBM through higher-order Taylor expansions, consistently achieves optimal convergence rates. Additionally, analyzing the condition number of the problem matrix reveals that SBM, when integrated with IGA, effectively circumvents the small cut-cell problem, a common issue in numerical methods with unfitted boundaries.