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This paper presents phononic band-structure calculation results obtained using a mixed variational formulation for 1-, and 2-dimensional unit cells. The formulation itself is presented in a form which is equally applicable to 3-dimensiomal…

Materials Science · Physics 2014-11-13 Ankit Srivastava , Sia Nemat-Nasser

We consider two-dimensional phononic crystals formed from silicon and voids, and present optimized unit cell designs for (1) out-of-plane, (2) in-plane and (3) combined out-of-plane and in-plane elastic wave propagation. To feasibly search…

Computational Physics · Physics 2013-04-23 Osama R. Bilal , Mahmoud I. Hussein

In this paper, we compute the band structure of one- and two-dimensional phononic composites using the extended finite element method (X-FEM) on structured higher-order (spectral) finite element meshes. On using partition-of-unity…

Computational Physics · Physics 2021-11-09 Eric B. Chin , Amir Ashkan Mokhtari , Ankit Srivastava , N. Sukumar

Photonic crystals (PhCs) are periodic dielectric structures that exhibit unique electromagnetic properties, such as the creation of band gaps where electromagnetic wave propagation is inhibited. Accurately predicting dispersion relations,…

Numerical Analysis · Mathematics 2024-11-12 Yueqi Wang , Richard Craster , Guanglian Li

Accurately predicting phonon scattering is crucial for understanding thermal transport properties. However, the computational cost of such calculations, especially for four-phonon scattering, can often be more prohibitive when large number…

Materials Science · Physics 2025-10-02 Ziqi Guo , Xiulin Ruan , Guang Lin

We present two developments for the numerical integration of a function over the Brillouin zone. First, we introduce a nonuniform grid, which we refer to as the Farey grid, that generalizes regular grids. Second, we introduce…

Other Condensed Matter · Physics 2026-01-21 Siyu Chen , Pascal T. Salzbrenner , Bartomeu Monserrat

In this paper, we describe a conceptual design methodology to design distributed neural network architectures that can perform efficient inference within sensor networks with communication bandwidth constraints. The different sensor…

Machine Learning · Computer Science 2022-10-17 Thomas Strypsteen , Alexander Bertrand

The direct and indirect boundary element methods, accelerated via the fast multipole method, are applied to numerical simulation of room acoustics for large rooms of volume $\sim 150$ $m^{3}$ and frequencies up to 5 kHz on a workstation. As…

Numerical Analysis · Mathematics 2021-09-22 Nail A. Gumerov , Ramani Duraiswami

In this work, two fast multipole boundary element formulations for the linear time-harmonic acoustic analysis of finite periodic structures are presented. Finite periodic structures consist of a bounded number of unit cell replications in…

Numerical Analysis · Mathematics 2022-01-31 Christopher Jelich , Wenchang Zhao , Haibo Chen , Steffen Marburg

In this paper the salient features of the Plane Wave Expansion (PWE) method and the mixed variational technique are combined for the fast eigenvalue computations of arbitrarily complex phononic unit cells. This is done by expanding the…

Materials Science · Physics 2017-05-29 Yan Lu , Ankit Srivastava

Reduced Bloch mode expansion is presented for fast periodic media band structure calculations. The expansion employs a natural basis composed of a selected reduced set of Bloch eigenfunctions. The reduced basis is selected within the…

Computational Physics · Physics 2012-10-25 Mahmoud I. Hussein

Computational Pangenomics is an emerging field that studies genetic variation using a graph structure encompassing multiple genomes. Visualizing pangenome graphs is vital for understanding genome diversity. Yet, handling large graphs can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-29 Jiajie Li , Jan-Niklas Schmelzle , Yixiao Du , Simon Heumos , Andrea Guarracino , Giulia Guidi , Pjotr Prins , Erik Garrison , Zhiru Zhang

We present an alternative GPU acceleration for plane waves pseudopotentials electronic structure codes designed for systems that have small unit cells but require a large number of k points to sample the Brillouin zone as happens, for…

Materials Science · Physics 2025-07-31 Xuejun Gong , Andrea Dal Corso

We present a scheme for the improved description of the long-range interatomic force constants in a more accurate way than the procedure which is commonly used within plane-wave based density-functional perturbation-theory calculations. Our…

Materials Science · Physics 2013-05-29 Katalin Gaal-Nagy , Dieter Strauch

We report on the GPU port of the Abinit high-performance simulation code for plane-wave DFT calculations. Large-scale electronic structure calculations require computing the electronic wave function by solving the Kohn-Sham equations…

Materials Science · Physics 2026-05-28 Ioanna-Maria Lygatsika , Marc Sarraute , Lucas Baguet , Pierre Kestener , Marc Torrent

We present a MATLAB-based framework for two- and three-dimensional fast Fourier transforms on multiple GPUs for large-scale numerical simulations using the pseudo-spectral Fourier method. The software implements two complementary multi-GPU…

Mathematical Software · Computer Science 2026-03-31 Maik Punke , Marco Salvalaglio

Large scale-free graphs are famously difficult to process efficiently: the skewed vertex degree distribution makes it difficult to obtain balanced partitioning. Our research instead aims to turn this into an advantage by partitioning the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-05 Scott Sallinen , Abdullah Gharaibeh , Matei Ripeanu

This paper presents a GPU-accelerated computational framework for reconstructing high resolution (HR) LF images under a mixed Gaussian-Impulse noise condition. The main focus is on developing a high-performance approach considering…

Image and Video Processing · Electrical Eng. & Systems 2022-06-13 Trung-Hieu Tran , Kaicong Sun , Sven Simon

Obtaining a thermodynamically accurate phase diagram through numerical calculations is a computationally expensive problem that is crucially important to understanding the complex phenomena of solid state physics, such as superconductivity.…

Computational Physics · Physics 2015-05-20 Michał Januszewski , Andrzej Ptok , Dawid Crivelli , Bartłomiej Gardas

We present a GPU-accelerated version of the real-space SPARC electronic structure code for performing hybrid functional calculations in generalized Kohn-Sham density functional theory. In particular, we develop a batch variant of the…

Computational Physics · Physics 2025-01-29 Xin Jing , Abhiraj Sharma , John E. Pask , Phanish Suryanarayana
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