Isogeometric Simulation and Shape Optimization with Applications to\n Electrical Machines

2018/09/10 by Peter Gangl, Ulrich Langer, Gangl, Peter +5
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #FOS: Mathematics #Numerical Analysis (math.NA) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1809.03377

openalex publication_date 2018/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Future e-mobility calls for efficient electrical machines. For different\nareas of operation, these machines have to satisfy certain desired properties\nthat often depend on their design. Here we investigate the use of multipatch\nIsogeometric Analysis (IgA) for the simulation and shape optimization of the\nelectrical machines. In order to get fast simulation and optimization results,\nwe use non-overlapping domain decomposition (DD) methods to solve the large\nsystems of algebraic equations arising from the IgA discretization of\nunderlying partial differential equations. The DD is naturally related to the\nmultipatch representation of the computational domain, and provides the\nframework for the parallelization of the DD solvers.\n

Citations

• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

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