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We propose to discuss space-time isogeometric approaches to various thermomechanical problems. This work is mainly based on the Ph.D. thesis of Christelle Saadé (see [22]). For all these problems, we have used a continuous Galerkin form, which is well suited here due to the relative regularity of the examples considered. Both linear and non-linear situations are explored at small or finite strain. We show that the space-time approach with B-Splines can be attractive and opening up new possibilities compared to standard schemes.

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On a Space-Time Approach for Thermomechanics

  • 章节

  • 发表日期：

    2025年

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  • Stéphane Lejeunes,
  • Dominique Eyheramendy

摘要

We propose to discuss space-time isogeometric approaches to various thermomechanical problems. This work is mainly based on the Ph.D. thesis of Christelle Saadé (see [22]). For all these problems, we have used a continuous Galerkin form, which is well suited here due to the relative regularity of the examples considered. Both linear and non-linear situations are explored at small or finite strain. We show that the space-time approach with B-Splines can be attractive and opening up new possibilities compared to standard schemes.