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We present a finite element method (FEM) solver for computation of optical resonance modes in VCSELs. We perform a convergence study and demonstrate that high accuracies for 3D setups can be attained on standard computers. We also…

光学 · 物理学 2012-03-02 M. Rozova , J. Pomplun , L. Zschiedrich , F. Schmidt , S. Burger

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity and ease of implementation into existing Finite Element (FEM)…

数值分析 · 计算机科学 2015-01-28 Gernot Beer , Benjamin Marussig , Jürgen Zechner

In this paper, we present explicit expressions for conforming finite element function spaces, basis functions, and degrees of freedom on the pentatope and tetrahedral prism elements. More generally, our objective is to construct finite…

数值分析 · 数学 2023-08-15 David M. Williams , Nilima Nigam

The mechanical properties of human soft tissue are crucial for impact biomechanics, rehabilitation engineering and surgical simulation. Validation of these constitutive models using human data remains challenging and often requires the use…

医学物理 · 物理学 2016-04-25 Kevin M. Moerman , Cathy A. Holt , Sam L. Evans , Ciaran K. Simms

We propose and explore a new, general-purpose method for the implicit time integration of elastica. Key to our approach is the use of a mixed variational principle. In turn its finite element discretization leads to an efficient alternating…

图形学 · 计算机科学 2022-02-03 Ty Trusty , Danny M. Kaufman , David I W Levin

Cell blebs are protrusions of the cell membrane and can be instrumental for cell migration. We derive a continuum model for the mechanical and geometrical aspects of the onset of blebbing in terms of a force balance. It is abstract and…

数值分析 · 数学 2020-03-03 Björn Stinner , Andreas Dedner , Adam Nixon

A coarse-grained computational procedure based on the Finite Element Method is proposed to calculate the normal modes and mechanical response of proteins and their supramolecular assemblies. Motivated by the elastic network model, proteins…

生物大分子 · 定量生物学 2007-05-23 Mark Bathe

Deformable elastic bodies in viscous and viscoelastic media constitute a large portion of synthetic and biological complex fluids. We present a parallelized 3D-simulation methodology which fully resolves the momentum balance in the solid…

计算物理 · 物理学 2019-03-11 Amir Saadat , Chris J. Guido , Gianluca Iaccarino , Eric S. G. Shaqfeh

A finite element approach for approximating the solution of a mathematical model for the response of a penetrable, bounded object (obstacle) to the excitation by an external electromagnetic field is presented and investigated. The model…

数值分析 · 数学 2026-04-16 Lutz Angermann

For the finite element simulation of thin soft biological tissues in dynamics, shell elements, compared to volume elements, can capture the whole tissue thickness at once, and feature larger critical time steps. However, the capabilities of…

数值分析 · 数学 2018-01-15 Bahareh Momenan , Michel R. Labrosse

This article investigates a space-time differential model related to the degradation of stone artifacts caused by exposure to air and atmospheric agents, which specifically lead to the accumulation of salt crystals in the material. A…

A new methodology is proposed to estimate 3D displacement fields from pairs of images obtained from X-Ray Computed Micro Tomography (XCMT). Contrary to local approaches, a global approach is followed herein that evaluates {\em continuous}…

经典物理 · 物理学 2007-12-18 Stephane Roux , François Hild , Philippe Viot , Dominique Bernard

In orthodontic treatment, the biological response of the tooth, periodontal ligament, and bone complex to orthodontic force is crucial in influencing treatment outcomes. The challenge lies in accurately measuring, estimating, and predicting…

医学物理 · 物理学 2025-04-01 Waheed Ahmad , Jing Xiong , Zeyang Xia

We develop a cut finite element method (CutFEM) for the convection problem in a so called fractured domain which is a union of manifolds of different dimensions such that a $d$ dimensional component always resides on the boundary of a $d+1$…

数值分析 · 数学 2019-02-05 Erik Burman , Peter Hansbo , Mats G. Larson , Karl Larsson

In this paper, it is presented a methodology to estimate the deformation involved between two objects attending to its physical properties. This methodology can be used, for example, in Computational Vision or Computer Graphics…

图形学 · 计算机科学 2012-06-28 Joao Manuel R. S. Tavares , Raquel R. Pinho

We formulate a cut finite element method for linear elasticity based on higher order elements on a fixed background mesh. Key to the method is a stabilization term which provides control of the jumps in the derivatives of the finite element…

数值分析 · 数学 2019-02-05 Peter Hansbo , Mats G. Larson , Karl Larsson

Bioprinting is an enabling biofabrication technique to create heterogeneous tissue constructs according to patient-specific geometries and compositions. Optimization of bioinks as per requirements for specific tissue applications is a…

材料科学 · 物理学 2022-10-25 Abhinaba Banerjee , Sudipto Datta , Amit Roy Chowdhury , Pallab Datta

Optical properties of hybrid plasmonic waveguides and of low-Q cavities, formed by waveguides of finite length are investigated numerically. These structures are of interest as building-blocks of plasmon lasers. We use a time-harmonic…

光学 · 物理学 2010-09-09 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt

We present a Fourier finite element modeling of light emission of dipolar emitters coupled to infinitely long waveguides. Due to the translational symmetry, the three-dimensional (3D) coupled waveguide-emitter system can be decomposed into…

光学 · 物理学 2015-12-01 Yangxin Ou , David Pardo , Yuntian Chen

In this work is considered a spectral problem, involving a second order term on the domain boundary: the Laplace-Beltrami operator. A variational formulation is presented, leading to a finite element discretization. For the Laplace-Beltrami…

数值分析 · 数学 2024-04-23 Fabien Caubet , Joyce Ghantous , Charles Pierre