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math.NA2025

Stabilization techniques for immersogeometric analysis of plate and shell problems in explicit dynamics

Giuliano Guarino, Yannis Voet, Pablo Antolin +1

Finite element plate and shell formulations are ubiquitous in structural analysis for modeling all kinds of slender structures, both for static and dynamic analyses. The latter are…

math.NA2025

Mass lumping and stabilization for immersogeometric analysis

Yannis Voet, Espen Sande, Annalisa Buffa

Trimmed (multi-patch) geometries are the state-of-the-art technology in computer-aided design for industrial applications such as automobile crashworthiness. In this context, fast…

math.NA2024

Mass lumping and outlier removal strategies for complex geometries in isogeometric analysis

Yannis Voet, Espen Sande, Annalisa Buffa

Mass lumping techniques are commonly employed in explicit time integration schemes for problems in structural dynamics and both avoid solving costly linear systems with the consist…

math.NA2024

A theoretical analysis of mass scaling techniques

Yannis Voet, Espen Sande, Annalisa Buffa

Mass scaling is widely used in finite element models of structural dynamics for increasing the critical time step of explicit time integration methods. While the field has been flo…

math.NA2024

The Immersed Boundary Conformal Method for Kirchhoff-Love and Reissner-Mindlin shells

Giuliano Guarino, Alberto Milazzo, Annalisa Buffa +1

This work utilizes the Immersed Boundary Conformal Method (IBCM) to analyze Kirchhoff-Love and Reissner-Mindlin shell structures within an immersed domain framework. Immersed bound…

math.NA2024

An Interior Penalty coupling strategy for Isogeometric non-conformal Kirchhoff-Love shell patches

Giuliano Guarino, Pablo Antolin, Alberto Milazzo +1

This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis, based on higher continuity splines that seamlessly meet the requirement of Kirchhoff-L…