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In this paper, we present algorithms and implementations for the end-to-end GPU acceleration of matrix-free low-order-refined preconditioning of high-order finite element problems. The methods described here allow for the construction of…

Mathematical Software · Computer Science 2023-06-05 Will Pazner , Tzanio Kolev , Jean-Sylvain Camier

This article proposes a novel high-performance computing approach for the prediction of the temperature field in powder bed fusion (PBF) additive manufacturing processes. In contrast to many existing approaches to part-scale simulations,…

Computational Engineering, Finance, and Science · Computer Science 2023-09-18 Sebastian D. Proell , Peter Munch , Martin Kronbichler , Wolfgang A. Wall , Christoph Meier

We propose a Pretrained Finite Element Method (PFEM),a physics driven framework that bridges the efficiency of neural operator learning with the accuracy and robustness of classical finite element methods (FEM). PFEM consists of a physics…

Recent research in deep learning (DL) has investigated the use of the Fast Fourier Transform (FFT) to accelerate the computations involved in Convolutional Neural Networks (CNNs) by replacing spatial convolution with element-wise…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Eduardo Reis , Thangarajah Akilan , Mohammed Khalid

The implementation of a full electronic structure calculation code on a hybrid parallel architecture with Graphic Processing Units (GPU) is presented. The code which is on the basis of our implementation is a GNU-GPL code based on…

We describe initial work on an extension of the Kaldi toolkit that supports weighted finite-state transducer (WFST) decoding on Graphics Processing Units (GPUs). We implement token recombination as an atomic GPU operation in order to fully…

Computation and Language · Computer Science 2018-07-30 Zhehuai Chen , Justin Luitjens , Hainan Xu , Yiming Wang , Daniel Povey , Sanjeev Khudanpur

Recent advances in computing such as the massively parallel GPUs (Graphical Processing Units),coupled with the need to store and deliver large quantities of digital data especially images, has brought a number of challenges for Computer…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-07 Kgotlaetsile Mathews Modieginyane , Zenzo Polite Ncube , Naison Gasela

The Radon transform and its adjoint, the back-projection operator, can both be expressed as convolutions in log-polar coordinates. Hence, fast algorithms for the application of the operators can be constructed by using FFT, if data is…

Numerical Analysis · Mathematics 2015-06-02 Fredrik Andersson , Marcus Carlsson , Viktor V. Nikitin

In the present paper we propose a reduced temperature non-equilibrium model for simulating multicomponent flows with inter-phase heat transfer, diffusion processes (including the viscosity and the heat conduction) and external energy…

Numerical Analysis · Mathematics 2021-08-19 Chao Zhang , Lifeng Wang , Zhijun Shen , Zhiyuan Li , Igor Menshov

Performing high accuracy hybrid functional calculations for condensed matter systems containing a large number of atoms is at present computationally very demanding - when not out of reach - if high quality basis sets are used. We present a…

Materials Science · Physics 2017-12-22 Laura E. Ratcliff , A. Degomme , José A. Flores-Livas , Stefan Goedecker , Luigi Genovese

A computational fluid dynamics (CFD) simulation framework for fluid-flow prediction is developed on the Tensor Processing Unit (TPU) platform. The TPU architecture is featured with accelerated dense matrix multiplication, large high…

Computational Physics · Physics 2022-03-02 Qing Wang , Matthias Ihme , Yi-Fan Chen , John Anderson

The iterative diagonalization of a sequence of large ill-conditioned generalized eigenvalue problems is a computational bottleneck in quantum mechanical methods employing a nonorthogonal basis for {\em ab initio} electronic structure…

Materials Science · Physics 2013-08-13 Yunfeng Cai , Zhaojun Bai , John E. Pask , N. Sukumar

The Boltzmann transport equation (BTE) with electron-phonon (e-ph) interactions computed from first principles is widely used to study electronic transport and nonequilibrium dynamics in materials. Calculating the e-ph collision integral is…

Materials Science · Physics 2025-11-06 Shiyu Peng , Donnie Pinkston , Jia Yao , Sergei Kliavinek , Ivan Maliyov , Marco Bernardi

The numerical modeling of fracture contact thermo-poromechanics is crucial for advancing subsurface engineering applications, including CO2 sequestration, production of geo-energy resources, energy storage and wastewater disposal…

Numerical Analysis · Mathematics 2025-10-14 Yury Zabegaev , Inga Berre , Eirik Keilegavlen

Fourier solvers have become efficient tools to establish structure-property relations in heterogeneous materials. Introduced as an alternative to the Finite Element (FE) method, they are based on fixed-point solutions of the…

Computational Physics · Physics 2017-09-01 Jan Zeman , Tom W. J. de Geus , Jaroslav Vondřejc , Ron H. J. Peerlings , Marc G. D. Geers

Communication efficiency is a widely recognised research problem in Federated Learning (FL), with recent work focused on developing techniques for efficient compression, distribution and aggregation of model parameters between clients and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-10 Chamath Palihawadana , Nirmalie Wiratunga , Anjana Wijekoon , Harsha Kalutarage

We propose a matrix-free finite element (FE) homogenization scheme that is considerably more efficient than generic FE implementations. The efficiency of our scheme follows from a preconditioned well-scaled reformulation allowing for the…

Numerical Analysis · Mathematics 2022-03-08 Martin Ladecký , Richard J. Leute , Ali Falsafi , Ivana Pultarová , Lars Pastewka , Till Junge , Jan Zeman

Video-to-Text (VTT) is the task of automatically generating descriptions for short audio-visual video clips, which can support visually impaired people to understand scenes of a YouTube video for instance. Transformer architectures have…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Philipp Harzig , Moritz Einfalt , Rainer Lienhart

The relaxed physical factorization (RPF) preconditioner is a recent algorithm allowing for the efficient and robust solution to the block linear systems arising from the three-field displacement-velocity-pressure formulation of coupled…

Numerical Analysis · Mathematics 2021-08-10 Matteo Frigo , Nicola Castelletto , Massimiliano Ferronato

A low-complexity orthogonal multiplierless approximation for the 16-point discrete cosine transform (DCT) was introduced. The proposed method was designed to possess a very low computational cost. A fast algorithm based on matrix…

Information Theory · Computer Science 2016-06-20 T. L. T. da Silveira , F. M. Bayer , R. J. Cintra , S. Kulasekera , A. Madanayake , A. J. Kozakevicius