5 papers
On the prospects of interpolatory spline bases for accurate mass lumping strategies in isogeometric analysis
Yannis Voet, Espen Sande
While interpolatory bases such as the Lagrange basis form the cornerstone of classical finite element methods, they have been replaced in the more general finite element setting of…
On a robust inf-sup condition for the Stokes problem in slender domains -- with application to preconditioning
Espen Sande, Timo Koch, Miroslav Kuchta +1
We identify a norm on the pressure variable in the Stokes equation that allows us to prove a continuous inf-sup condition with a constant independent of the domain's aspect ratio.…
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…
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…
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…