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Aircraft design optimization traditionally relies on computationally expensive simulation techniques such as Finite Element Method (FEM) and Finite Volume Method (FVM), which, while accurate, can significantly slow down the design iteration…

机器学习 · 计算机科学 2026-03-03 Apurba Sarker

We consider the multidimensional space-fractional diffusion equations with spatially varying diffusivity and fractional order. Significant computational challenges are encountered when solving these equations due both to the kernel…

数值分析 · 数学 2021-08-31 Hasnaa Alzahrani , George Turkiyyah , Omar Knio , David Keyes

The numerical investigation of acoustic damping materials, such as foams, constitutes a valuable enhancement to experimental testing. Typically, such materials are modeled in a homogenized way in order to reduce the computational effort and…

We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities. The proposed method works for any frequency $\omega$, but…

数值分析 · 数学 2022-01-14 Anton Arnold , Sjoerd Geevers , Ilaria Perugia , Dmitry Ponomarev

Simulation-based optimization of acoustic liner design in a turbofan engine nacelle for noise reduction purposes can dramatically reduce the cost and time needed for experimental designs. Because uncertainties are inevitable in the design…

最优化与控制 · 数学 2017-04-05 Huanhuan Yang , Max Gunzburger

We present a finite element scheme for fractional diffusion problems with varying diffusivity and fractional order. We consider a symmetric integral form of these nonlocal equations defined on general geometries and in arbitrary bounded…

数值分析 · 数学 2023-06-28 Wenyu Lei , George Turkiyyah , Omar Knio

The European Union's climate targets challenge the building sector to reduce energy use while ensuring comfort. Ventilation systems play an important role in achieving these goals. During system planning, the primary focus tends to lie on…

系统与控制 · 电气工程与系统科学 2024-12-02 Julius H. P. Breuer , Peter F. Pelz

Immersed boundary methods have attracted substantial interest in the last decades due to their potential for computations involving complex geometries. Often these cannot be efficiently discretized using boundary-fitted finite elements.…

计算工程、金融与科学 · 计算机科学 2026-01-13 Tim Bürchner , Lars Radtke , Philipp Kopp , Stefan Kollmannsberger , Ernst Rank , Alexander Düster

Model Order Reduction (MOR) can significantly reduce the computational cost of vibroacoustic simulations. While most MOR research focuses on single-domain systems (e.g., structural dynamics or computational fluid mechanics), this work…

应用物理 · 物理学 2026-02-05 Sander Metting van Rijn , Linus Taenzer , Paolo Tiso , Bart Van Damme

In the present work, we investigate the computational efficiency afforded by higher-order finite-element discretization of the saddle-point formulation of orbital-free density functional theory. We first investigate the robustness of viable…

计算物理 · 物理学 2015-05-30 Phani Motamarri , Mrinal Iyer , Jaroslaw Knap , Vikram Gavini

This paper introduces a methodology designed to augment the inverse design optimization process in scenarios constrained by limited compute, through the strategic synergy of multi-fidelity evaluations, machine learning models, and…

计算工程、金融与科学 · 计算机科学 2024-06-04 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

We develop a high-order, explicit method for acoustic scattering in three space dimensions based on a combined-field time-domain integral equation. The spatial discretization, of Nystr\"om type, uses Gaussian quadrature on panels combined…

数值分析 · 数学 2020-01-29 Alex H. Barnett , Leslie Greengard , Tom Hagstrom

A finite element method is presented to compute time harmonic microwave fields in three dimensional configurations. Nodal-based finite elements have been coupled with an absorbing boundary condition to solve open boundary problems. This…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Christian Vollaire , Laurent Nicolas , Alain Nicolas

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…

光学 · 物理学 2009-05-28 L. Zschiedrich , S. Burger , A. Schädle , F. Schmidt

The design and optimisation of aircraft wings are critical tasks in aerospace engineering, requiring a balance between structural integrity, aerostructural performance, and manufacturability. This multifaceted challenge involves the…

计算工程、金融与科学 · 计算机科学 2024-11-06 Hauke Maathuis , Saullo G. P. Castro , Roeland De Breuker

In this paper we design efficient quadrature rules for finite element discretizations of nonlocal diffusion problems with compactly supported kernel functions. Two of the main challenges in nonlocal modeling and simulations are the…

数值分析 · 数学 2021-09-23 Eugenio Aulisa , Giacomo Capodaglio , Andrea Chierici , Marta D'Elia

Aircraft design relies heavily on solving challenging and computationally expensive Multidisciplinary Design Optimization problems. In this context, there has been growing interest in multi-fidelity models for Bayesian optimization to…

最优化与控制 · 数学 2026-04-01 Oihan Cordelier , Youssef Diouane , Nathalie Bartoli , Eric Laurendeau

The escalating challenges of managing vast sensor-generated data, particularly in audio applications, necessitate innovative solutions. Current systems face significant computational and storage demands, especially in real-time applications…

Recent progress in deep learning has been driven by increasingly larger models. However, their computational and energy demands have grown proportionally, creating significant barriers to their deployment and to a wider adoption of deep…

机器学习 · 计算机科学 2025-09-16 Pedro Savarese

In this work we propose a high-order structure-preserving discretization of the cold plasma model which describes the propagation of electromagnetic waves in magnetized plasmas. By utilizing B-Splines Finite Elements Exterior Calculus, we…

数值分析 · 数学 2025-01-29 Elena Moral Sánchez , Martin Campos Pinto , Yaman Güçlü , Omar Maj
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