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We propose a local type of B-bar formulation, addressing locking in degenerated Reissner-Mindlin plate and shell formulations in the context of isogeometric analysis. Parasitic strain components are projected onto the physical space…

Computational Engineering, Finance, and Science · Computer Science 2018-02-23 Qingyuan Hu , Yang Xia , Sundararajan Natarajan , Andreas Zilian , Ping Hu , Stéphane P. A. Bordas

This work presents a novel approach to create and dynamically control quasi-Bound States in the Continuum (BIC) resonances through the hybridization of 1D and 2D metasurfaces using micro-electromechanical systems (MEMS). By introducing…

This paper presents a shape optimisation system to design the shape of an acoustically-hard object in the three-dimensional open space. Boundary element method (BEM) is suitable to analyse such an exterior field. However, the conventional…

Numerical Analysis · Mathematics 2021-05-11 Toru Takahashi , Daisuke Sato , Hiroshi Isakari , Toshiro Matsumoto

Magnetic gels are composite materials, consisting of a polymer matrix and embedded magnetic particles. Those are mechanically coupled to each other, giving rise to the magnetostrictive effects as well as to a controllable overall elasticity…

Soft Condensed Matter · Physics 2023-06-21 Segun Goh , Andreas M. Menzel , René Wittmann , Hartmut Löwen

Efficient design and performance of electrically actuated MEMS devices necessitate accurate estimation of electrostatic forces on the MEMS structures. This in turn requires thorough study of the capacitance of the structures and finally the…

Computational Physics · Physics 2007-05-23 N. Majumdar , S. Mukhopadhyay

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

Dimensionality reduction is a fundamental task that aims to simplify complex data by reducing its feature dimensionality while preserving essential patterns, with core applications in data analysis and visualisation. To preserve the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Thomas Dagès , Simon Weber , Ya-Wei Eileen Lin , Ronen Talmon , Daniel Cremers , Michael Lindenbaum , Alfred M. Bruckstein , Ron Kimmel

We present a theoretical and computational framework based on fractional calculus for the analysis of the nonlocal static response of cylindrical shell panels. The differ-integral nature of fractional derivatives allows an efficient and…

Computational Engineering, Finance, and Science · Computer Science 2022-06-29 Sai Sidhardh , Sansit Patnaik , Fabio Semperlotti

Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering…

Fluid Dynamics · Physics 2020-11-18 J. M. Lyu , Paul G. Chen , G. Boedec , M. Leonetti , M. Jaeger

For linear elastic problems, it is well-known that mesh generation dominates the total analysis time. Different types of methods have been proposed to directly or indirectly alleviate this burden associated with mesh generation. We review…

Numerical Analysis · Mathematics 2012-11-01 H. Lian , S. P. A. Bordas , R. Sevilla , R. N. Simpson

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and design of nanostructured optical components. A vectorial finite element method (FEM) is a good choice for an…

Optics · Physics 2009-05-28 L. Zschiedrich , S. Burger , A. Schädle , F. Schmidt

The paper studies several approaches to numerical integration over a domain defined implicitly by an indicator function such as the level set function. The integration methods are based on subdivision, moment--fitting, local…

Numerical Analysis · Mathematics 2016-01-26 Maxim Olshanskii , Danil Safin

This paper is concerned with the Boundary Element simulation of elastic domains that contain thin inclusions that have elastic material properties, which are different to the domain. With thin inclusions we mean inclusions with extreme…

Numerical Analysis · Mathematics 2025-05-27 Vincenzo Mallardo , Christian Dunser , Gernot Beer

A mechanical model and finite element method for the simultaneous solution of Stokes and incompressible Navier-Stokes flows on multiple curved surfaces over a bulk domain are proposed. The two-dimensional surfaces are defined implicitly by…

Computational Engineering, Finance, and Science · Computer Science 2025-10-09 Michael Wolfgang Kaiser , Thomas-Peter Fries

A preliminary iterative 3D meso-scale structural model of the femur was developed, in which bar and shell elements were used to represent trabecular and cortical bone respectively. The cross-sectional areas of the bar elements and the…

Medical Physics · Physics 2012-03-01 Andrew T. M. Phillips

In this work, we present a mathematical and computational framework to model the dynamics of open lipid bilayer membranes interacting with ambient Stokes flow. The model explicitly couples the three-dimensional viscous fluid, the…

Numerical Analysis · Mathematics 2026-01-21 Han Zhou , Yuan-Nan Young , Yoichiro Mori

A Galerkin finite element method for the membrane elasticity problem on a meshed surface is constructed by using two-dimensional elements extended into three dimensions. The membrane finite element model is established using the intrinsic…

Numerical Analysis · Mathematics 2012-03-16 Peter Hansbo , Mats G. Larson

We study holomorphic isometries between bounded symmetric domains with respect to the Bergman metrics up to a normalizing constant. In particular, we first consider a holomorphic isometry from the complex unit ball into an irreducible…

Complex Variables · Mathematics 2025-04-11 Shan Tai Chan

Isogeometric cohesive elements are presented for modeling two and three dimensional delaminated composite structures. We exploit the knot insertion algorithm offered by NURBS (Non Uniform Rational B-splines) to generate cohesive elements…

Numerical Analysis · Mathematics 2014-10-07 Vinh Phu Nguyen , Pierre Kerfriden , Stephane Bordas

High-quality mesh generation is the foundation of accurate finite element analysis. Due to the vast interior vertices search space and complex initial boundaries, mesh generation for complicated domains requires substantial manual…

Numerical Analysis · Mathematics 2023-05-02 Hua Tong , Kuanren Qian , Eni Halilaj , Yongjie Jessica Zhang