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Recent Developments in Unfitted Finite Element Methods: Numerical Analysis, High-Performance Adaptive Solution Algorithms and Advanced Digital Pipelines

Unfitted Finite Element Methods (UFEM e.g. CutFEM, XFEM, Finite Cell FEM, CGFEM) have been extensively investigated over the last two decades. The use of computational meshes that do not need to conform to the geometrical features of boundary value problems is highly interesting to practitioners in many fields of computational sciences and engineering. However, UFEM are yet to be adopted as a standard analysis tool. This is due to a number of important theoretical, implementational and numerical challenges, which we wish to address in this special issue.

Edited by: Pierre Kerfriden, Susanne Claus, Dominik Schillinger

  1. This paper proposes an extension of the finite cell method (FCM) to V-rep models, a novel geometric framework for volumetric representations. This combination of an embedded domain approach (FCM) and a new mod...

    Authors: Benjamin Wassermann, Nina Korshunova, Stefan Kollmannsberger, Ernst Rank and Gershon Elber

    Citation: Advanced Modeling and Simulation in Engineering Sciences 2020 7:49

    Content type: Research article

    Published on:

  2. A new specialised finite element for simulating the cracking and healing behaviour of quasi-brittle materials is presented. The element employs a strong discontinuity approach to represent displacement jumps a...

    Authors: Brubeck L. Freeman, Pedro Bonilla-Villalba, Iulia C. Mihai, Waled F. Alnaas and Anthony D. Jefferson

    Citation: Advanced Modeling and Simulation in Engineering Sciences 2020 7:32

    Content type: Research article

    Published on:

  3. In the present work, we propose a new approach, the so-called compressed adaptive integration scheme (C-AIS), for the computation of the stiffness and mass matrices in fictitious domain methods requiring the i...

    Authors: Márton Petö, Fabian Duvigneau and Sascha Eisenträger

    Citation: Advanced Modeling and Simulation in Engineering Sciences 2020 7:21

    Content type: Research article

    Published on:

    The Correction to this article has been published in Advanced Modeling and Simulation in Engineering Sciences 2020 7:34

  4. We develop a novel unfitted finite element solver for composite materials with quasi-1D fibrous reinforcements. The method belongs to the class of mixed-dimensional non-conforming finite element solvers. The f...

    Authors: P. Kerfriden, S. Claus and I. Mihai

    Citation: Advanced Modeling and Simulation in Engineering Sciences 2020 7:18

    Content type: Research article

    Published on: