RT Journal Article
T1 Tree–cotree-based tearing and interconnecting for 3D magnetostatics: A dual–primal approach
A1 Mally, Mario
A1 Kapidani, Bernard
A1 Merkel, Melina
A1 Schöps, Sebastian
A1 Vázquez Hernández, Rafael
K1 IGA
K1 IETI
K1 Dual–primal
K1 Tree–cotree gauging
K1 Magnetostatics
AB The simulation of electromagnetic devices with complex geometries and large-scale discrete systems benefits from advanced computational methods like IsoGeometric Analysis and Domain Decomposition. In this paper, we employ both concepts in an Isogeometric Tearing and Interconnecting method to enable the use of parallel computations for magnetostatic problems. We address the underlying non-uniqueness by using a graph-theoretic approach, the tree–cotree decomposition. The classical tree–cotree gauging is adapted to be feasible for parallelization, which requires that all local subsystems are uniquely solvable. Our contribution consists of an explicit algorithm for constructing compatible trees and combining it with a dual–primal approach to enable parallelization. The correctness of the proposed approach is proved and verified by numerical experiments, showing its accuracy, scalability and optimal convergence.
PB Elsevier
SN 0045-7825
YR 2025
FD 2025
LK https://hdl.handle.net/10347/40748
UL https://hdl.handle.net/10347/40748
LA eng
NO Mally, M., Kapidani, B., Merkel, M., Schöps, S., & Vázquez, R. (2025). Tree–cotree-based tearing and interconnecting for 3D magnetostatics: A dual–primal approach. Computer Methods in Applied Mechanics and Engineering, 437. https://doi.org/10.1016/J.CMA.2025.117737
NO The work is supported by the joint DFG/FWF Collaborative Research Centre CREATOR (DFG: Project-ID 492661287/TRR 361; FWF: 10.55776/F90) at TU Darmstadt, TU Graz and JKU Linz. We acknowledge the funding of The “Ernst Ludwig Mobility Grant” of the Association of Friends of Technical University of Darmstadt e.V .
DS Minerva
RD 24 abr 2026