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19922026
Showing 2023 · math.NAShow all

6 papers · 2 filters

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★ 1 cited

Stability of step size control based on a posteriori error estimates

Hendrik Ranocha, Jan Giesselmann

A posteriori error estimates based on residuals can be used for reliable error control of numerical methods. Here, we consider them in the context of ordinary differential equation…

math.NA2023★ 7 cited

A Stabilized Circuit-Consistent Foil Conductor Model

Elias Paakkunainen, Jonas Bundschuh, Idoia Cortes Garcia +2

The magnetoquasistatic simulation of large power converters, in particular transformers, requires efficient models for their foils windings by means of homogenization techniques. I…

math.NA2023★ 1 cited

Grading of Triangulations Generated by Bisection

Lars Diening, Johannes Storn, Tabea Tscherpel

For triangulations generated by the adaptive bisection algorithm by Maubach and Traxler we prove existence of a regularized mesh function with grading two. This sharpens previous r…

math.NA2023★ 5 cited

Dimensions of exactly divergence-free finite element spaces in 3D

L. Ridgway Scott, Tabea Tscherpel

We examine the dimensions of various inf-sup stable mixed finite element spaces on tetrahedral meshes in 3D with exact divergence constraints. More precisely, we compare the standa…