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The multi-scale nature of architectured materials raises the need for advanced experimental methods suitable for the identification of their effective properties, especially when their size is finite and they undergo extreme deformations.…

Applied Physics · Physics 2024-03-04 Filippo Agnelli , Pierre Margerit , Paolo Celli , Chiara Daraio , Andrei Constantinescu

The application of mortar methods in the framework of isogeometric analysis is investigated theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly stable spaces are presented, both of them are spline…

Numerical Analysis · Mathematics 2015-06-22 Ericka Brivadis , Annalisa Buffa , Barbara Wohlmuth , Linus Wunderlich

In this paper, we present a NURBS-enhanced finite element method that integrates the NURBS-based boundary representation of a geometric domain into a standard finite element framework for hexahedral meshes. We decompose an open, bounded,…

Numerical Analysis · Mathematics 2026-02-02 Duygu Sap

We investigate the isogeometric analysis for surface PDEs based on the extended Loop subdivision approach. The basis functions consisting of quartic box-splines corresponding to each subdivided control mesh are utilized to represent the…

Numerical Analysis · Mathematics 2019-11-06 Qing Pan , Timon Rabczuk , Gang Xu , Chong Chen

This paper presents three different constitutive approaches to model thin rotation-free shells based on the Kirchhoff-Love hypothesis. One approach is based on numerical integration through the shell thickness while the other two approaches…

Computational Engineering, Finance, and Science · Computer Science 2017-10-25 Farshad Roohbakhshan , Roger A. Sauer

Space-time methods promise more efficient time-domain simulations, in particular of electrical machines. However, most approaches require the motion to be known in advance so that it can be included in the space-time mesh. To overcome this…

Numerical Analysis · Mathematics 2026-05-19 Michael Reichelt , Michael Wiesheu , Melina Merkel , Sebastian Schöps , Olaf Steinbach

We present an isogeometric analysis technique that builds on manifold-based smooth basis functions for geometric modelling and analysis. Manifold-based surface construction techniques are well known in geometric modelling and a number of…

Numerical Analysis · Computer Science 2017-04-05 Musabbir Majeed , Fehmi Cirak

Non-Uniform Rational B-Spline (NURBS) surfaces are commonly used within Computer-Aided Design (CAD) tools to represent geometric objects. When using isogeometric analysis (IGA), it is possible to use such NURBS geometries for numerical…

Computational Engineering, Finance, and Science · Computer Science 2022-03-31 Michel Make , Thomas Spenke , Norbert Hosters , Marek Behr

We propose in this paper a novel inverse tangent transverse shear deformation formulation for functionally graded material (FGM) plates. The isogeometric finite element analysis (IGA) of static, free vibration and buckling problems of FGM…

Numerical Analysis · Computer Science 2013-10-08 H. Nguyen-Xuan , Loc V. Tran , Chien H. Thai , S. Kulasegaram , S. P. A. Bordas

Interferometry can measure the shape or the material density of a system that could not be measured otherwise by recording the difference between the phase change of a signal and a reference phase. This difference is always between $-\pi$…

Plasma Physics · Physics 2022-10-20 Pierre-Alexandre Gourdain , Aidan Bachmann

While shape optimization using isogeometric shells exhibits appealing features by integrating design geometries and analysis models, challenges arise when addressing computer-aided design (CAD) geometries comprised of multiple non-uniform…

Optimization and Control · Mathematics 2024-07-02 Han Zhao , John T. Hwang , J. S. Chen

In this study, we develop a conditional diffusion model that proposes the optimal process parameters and predicts the microstructure for the desired mechanical properties. In materials development, it is costly to try many samples with…

Computational Engineering, Finance, and Science · Computer Science 2025-10-27 Arisa Ikeda , Ryo Higuchi , Tomohiro Yokozeki , Katsuhiro Endo , Yuta Kojima , Misato Suzuki , Mayu Muramatsu

Inverse electromagnetic design has emerged as a way of efficiently designing active and passive electromagnetic devices. This maturing strategy involves optimizing the shape or topology of a device in order to improve a figure of merit--a…

Optics · Physics 2018-12-05 Andrew Michaels , Eli Yablonovitch

The goal of this paper is to further develop an approach to inverse problems with imperfect forward operators that is based on partially ordered spaces. Studying the dual problem yields useful insights into the convergence of the…

Numerical Analysis · Mathematics 2019-01-30 Martin Burger , Yury Korolev , Julian Rasch

The computational modeling of many engineering problems using the Finite Element method involves the modeling of two or more bodies that meet through an interface. The interface can be physical, as in multi-physics and contact problems, or…

Numerical Analysis · Computer Science 2009-09-30 G. Haikal

Exploring the design and control strategies of soft robots through simulation is highly attractive due to its cost-effectiveness. Although many existing models (e.g., finite element analysis) are effective for simulating soft robotic…

Robotics · Computer Science 2024-08-21 Dezhong Tong , Zhuonan Hao , Mingchao Liu , Weicheng Huang

The effect of higher order continuity in the solution field by using NURBS basis function in isogeometric analysis (IGA) is investigated for an efficient mixed finite element formulation for elastostatic beams. It is based on the Hu-Washizu…

Numerical Analysis · Mathematics 2023-09-08 Myung-Jin Choi , Roger A. Sauer , Sven Klinkel

We introduce a varying-order (VO) NURBS discretization method to enhance the performance of the IGA technique for three-dimensional large deformation frictional contact problems. Based on the promising results obtained with the previous…

Numerical Analysis · Mathematics 2025-03-06 Vishal Agrawal

We present MIRReS, a novel two-stage inverse rendering framework that jointly reconstructs and optimizes the explicit geometry, material, and lighting from multi-view images. Unlike previous methods that rely on implicit irradiance fields…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Yuxin Dai , Qi Wang , Jingsen Zhu , Dianbing Xi , Yuchi Huo , Chen Qian , Ying He

The paper is concerned with the development of efficient and accurate solution procedures for the isogeometric boundary element method (BEM) when applied to problems that contain inclusions that have elastic properties different to the…

Numerical Analysis · Mathematics 2020-10-28 Gernot Beer , Eugenio Ruocco , Christian Duenser , Vincenzo Mallardo