We review space–time isogeometric analysis and in particular present and extend the unconditionally stable space–time isogeometric method introduced in Fraschini et al. (Comput Math Appl 169:205–222, 2024) for the linear acoustic wave equation to multi-patch spatial domains. This formulation incorporates a stabilization strategy that enhances numerical robustness by penalizing high-order derivatives within the variational framework. Additionally, we present a solver that exploits the Kronecker structure of the problem, eliminating the need to assemble global space–time matrices, and reduces computational overhead and memory usage. A numerical experiment is proposed, that confirms the method’s stability, accuracy, and computational efficiency, highlighting its effectiveness for large-scale wave propagation problems on complex geometries.
Space–time isogeometric analysis: a review with application to wave propagation
Loli, G.
;Sangalli, G.
2025-01-01
Abstract
We review space–time isogeometric analysis and in particular present and extend the unconditionally stable space–time isogeometric method introduced in Fraschini et al. (Comput Math Appl 169:205–222, 2024) for the linear acoustic wave equation to multi-patch spatial domains. This formulation incorporates a stabilization strategy that enhances numerical robustness by penalizing high-order derivatives within the variational framework. Additionally, we present a solver that exploits the Kronecker structure of the problem, eliminating the need to assemble global space–time matrices, and reduces computational overhead and memory usage. A numerical experiment is proposed, that confirms the method’s stability, accuracy, and computational efficiency, highlighting its effectiveness for large-scale wave propagation problems on complex geometries.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
