most citedTowards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics

32 citations · 90 across the 6 of their papers we have counts for

collaborators

6 papers

cs.CE2025

Generalized eigenvalue stabilization for immersed explicit dynamics

Tim Bürchner, Lars Radtke, Sascha Eisenträger +4

Explicit time integration for immersed finite element discretizations severely suffers from the influence of poorly cut elements. In this contribution, we propose a generalized eig…

math.NA2023★ 21 cited

Automatic 3D modeling by combining SBFEM and transfinite element shape functions

Hauke Gravenkamp, Albert A. Saputra, Sascha Eisenträger

The scaled boundary finite element method (SBFEM) has recently been employed as an efficient means to model three-dimensional structures, in particular when the geometry is provide…

math.NA2023★ 12 cited

Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions

Rene Hiemstra, Thi-Hoa Nguyen, Sascha Eisentrager +2

This paper introduces a mathematical framework for explicit structural dynamics, employing approximate dual functionals and rowsum mass lumping. We demonstrate that the approach ma…

math.NA2023★ 15 cited

An EigenValue Stabilization Technique for Immersed Boundary Finite Element Methods in Explicit Dynamics

Sascha Eisenträger, Lars Radtke, Wadhah Garhuom +4

The application of immersed boundary methods in static analyses is often impeded by poorly cut elements (small cut elements problem), leading to ill-conditioned linear systems of e…

math.NA2023★ 10 cited

Vibroacoustic simulations of acoustic damping materials using a fictitious domain approach

Lars Radtke, Paul Marter, Fabian Duvigneau +3

The numerical investigation of acoustic damping materials, such as foams, constitutes a valuable enhancement to experimental testing. Typically, such materials are modeled in a hom…

cs.CE2023★ 32 cited

Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics

Thi-Hoa Nguyen, René R. Hiemstra, Sascha Eisenträger +1

We present a mass lumping approach based on an isogeometric Petrov-Galerkin method that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of th…