Adaptive Isogeometric analysis for transient dynamics: Space–time refinement based on hierarchical a-posteriori error estimations

P Yu, SPA Bordas, P Kerfriden - Computer Methods in Applied Mechanics …, 2022 - Elsevier
In this paper, based on our proposed IsoGeometric Analysis (IGA)-based adaptivity
technique for plate vibration (Yu et al., 2018) the space–time adaptivity strategies used for …

Space-time hp-finite elements for heat evolution in laser powder bed fusion additive manufacturing

P Kopp, V Calo, E Rank, S Kollmannsberger - Engineering with Computers, 2022 - Springer
The direct numerical simulation of metal additive manufacturing processes such as laser
powder bed fusion is challenging due to the vast differences in spatial and temporal scales …

Foundations of space-time finite element methods: Polytopes, interpolation, and integration

CV Frontin, GS Walters, FD Witherden, CW Lee… - Applied Numerical …, 2021 - Elsevier
The main purpose of this article is to facilitate the implementation of space-time finite
element methods in four-dimensional space. In order to develop a finite element method in …

Adaptive Space-Time Finite Element and Isogeometric Analysis

U Langer - Domain Decomposition Methods in Science and …, 2023 - Springer
Adaptive Space-Time Finite Element and Isogeometric Analysis Page 1 Adaptive Space-Time
Finite Element and Isogeometric Analysis Ulrich Langer 1 Introduction The traditional …

Space‐Time Isogeometric Analysis of Parabolic Diffusion Problems in Moving Spatial Domains

S Kyas, U Langer, S Repin - PAMM, 2019 - Wiley Online Library
This paper addresses locally stabilized space‐time isogeometric (IgA) schemes for
parabolic diffusion problems in moving spatial domains. It generalizes the results of our …

[PDF][PDF] Maximal parabolic regularity and consistent space-time schemes

U Langer - wwwpub.zih.tu-dresden.de
Given f∈ L2 (Q), f= 0, gD= 0, σ= 1, ν, and u0= 0, find u:∂ tu− divx (ν (x, t)∇ xu)= f in Q, u (x,
t)= 0 on Σ, u (x, 0)= 0 on Σ0, where ν (x, t) is a uniformly positive and bounded coefficient …

[HTML][HTML] Analysis and Applications of IETI-DP Solvers/submitted by Dipl.-Ing. Rainer Schneckenleitner

R Schneckenleitner - 2021 - epub.jku.at
Abstract Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods are non-
overlap** domain decomposition techniques for solving large linear systems of algebraic …