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The excavation process in mechanized tunneling can be improved by reconnaissance of the geology ahead. A nondestructive exploration can be achieved in means of seismic imaging. A full waveform inversion approach, which works in the…

计算工程、金融与科学 · 计算机科学 2022-02-08 Christopher Riedel , Khayal Musayev , Matthias Baitsch , Klaus Hackl

We present the analytical formulation and the finite element solution of a fractional-order nonlocal continuum model of a Euler-Bernoulli beam. Employing consistent definitions for the fractional-order kinematic relations, the governing…

数值分析 · 数学 2021-02-11 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

We present a new accelerated gradient-based method for solving smooth unconstrained optimization problems. The goal is to embed a heavy-ball type of momentum into the Fast Gradient Method (FGM). For this purpose, we devise a generalization…

最优化与控制 · 数学 2021-11-02 Endrit Dosti , Sergiy A. Vorobyov , Themistoklis Charalambous

This paper presents the first coupling application of the dual reciprocity BEM (DRBEM) and dynamic programming filter to inverse elastodynamic problem. The DRBEM is the only BEM method, which does not require domain discretization for…

计算工程、金融与科学 · 计算机科学 2007-05-23 Masataka Tanaka , W Chen

The exponential functional link network (EFLN) filter has attracted tremendous interest due to its enhanced nonlinear modeling capability. However, the computational complexity will dramatically increase with the dimension growth of the…

信号处理 · 电气工程与系统科学 2022-01-17 T. Yu , S. Tana , R. C. de Lamareb , Y. Yu

This work presents a polyhedral scaled boundary finite element method (PSBFEM) for three dimensional seepage analysis. We first derive the scaled boundary formulation for 3D seepage problems, and subsequently incorporate Wachspress shape…

数值分析 · 数学 2025-06-11 Mingjiao Yan , Yang Yang , Zongliang Zhang , Dengmiao Hao , Chao Su , Qingsong Duan

Many problems in electrical engineering or fluid mechanics can be modeled by parabolic-elliptic interface problems, where the domain for the exterior elliptic problem might be unbounded. A possibility to solve this class of problems…

数值分析 · 数学 2018-05-15 Christoph Erath , Robert Schorr

Stochastic differential equation mixed-effects models (SDEMEMs) are flexible hierarchical models that are able to account for random variability inherent in the underlying time-dynamics, as well as the variability between experimental units…

统计计算 · 统计学 2021-01-22 Samuel Wiqvist , Andrew Golightly , Ashleigh T. McLean , Umberto Picchini

In this paper, we replace the asymptotic enrichments around the crack tip in the extended finite element method (XFEM) with the semi-analytical solution obtained by the scaled boundary finite element method (SBFEM). The proposed method does…

数值分析 · 数学 2013-09-04 Sundararajan Natarajan , Chongmin Song

A new finite element method (FEM) using meshes that do not necessarily align with the interface is developed for two- and three-dimensional anisotropic elliptic interface problems with nonhomogeneous jump conditions. The degrees of freedom…

数值分析 · 数学 2025-05-20 Haifeng Ji , Zhilin Li

This paper presents a technique for stress and fracture analysis by using the scaled boundary finite element method (SBFEM) with quadtree mesh of high-order elements. The cells of the quadtree mesh are modelled as scaled boundary polygons…

数值分析 · 数学 2026-03-19 Hou Man , Chongmin Song , Sundararajan Natarajan , Ean Tat Ooi , Carolin Birk

This paper investigates an efficient exponential integrator generalized multiscale finite element method for solving a class of time-evolving partial differential equations in bounded domains. The proposed method first performs the spatial…

数值分析 · 数学 2024-07-08 Leonardo A. Poveda , Juan Galvis , Eric Chung

The problem of quasistatic and rate-independent evolution of elastic-plastic-brittle delamination at small strains is considered. Delamination processes for linear elastic bodies glued by an adhesive to each other or to a rigid outer…

数值分析 · 数学 2012-12-12 C. G. Panagiotopoulos , V. Mantic , T. Roubicek

In our recent work [AIP Adv. 11, 095006], we presented an efficient numerical method to compute dispersions and spatial mode profiles of spin waves propagating in waveguides with translationally invariant equilibrium magnetization. Using a…

介观与纳米尺度物理 · 物理学 2024-06-12 Lukas Körber , Alexander Hempel , Andreas Otto , Rodolfo Gallardo , Yves Henry , Jürgen Lindner , Attila Kákay

We evaluated the performance of the classical and spectral finite element method in the simulation of elastodynamic problems. We used as a quality measure their ability to capture the actual dispersive behavior of the material. Four…

计算工程、金融与科学 · 计算机科学 2015-01-15 Nicolás Guarín-Zapata , Juan Gomez

In boundary element methods (BEM) in $\mathbb{R}^3$, matrix elements and right hand sides are typically computed via analytical or numerical quadrature of the layer potential multiplied by some function over line, triangle and tetrahedral…

数值分析 · 数学 2023-04-06 Nail A. Gumerov , Shoken Kaneko , Ramani Duraiswami

Frequency-based methods have been successfully employed in creating high fidelity data-driven reduced order models (DDROMs) for linear dynamical systems. These methods require access to values (and sometimes derivatives) of the…

数值分析 · 数学 2024-01-04 Michael S. Ackermann , Serkan Gugercin

In this study, a fast multipole method (FMM) is used to decrease the computational time of a fully-coupled poroelastic hydraulic fracture model with a controllable effect on its accuracy. The hydraulic fracture model is based on the…

数值分析 · 计算机科学 2019-10-23 Ali Rezaei , Fahd Siddiqui , Giorgio Bornia , Mohamed Y. Soliman

Electrical machines employing superconductors are attractive solutions in a variety of application domains. Numerical models are powerful and necessary tools to optimize their design and predict their performance. The electromagnetic…

超导电性 · 物理学 2018-07-04 Roberto Brambilla , Francesco Grilli , Luciano Martini , Marco Bocchi , Giuliano Angeli

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

数值分析 · 数学 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer