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We propose a high-performance GPU solver for inverse homogenization problems to design high-resolution 3D microstructures. Central to our solver is a favorable combination of data structures and algorithms, making full use of the parallel…

最优化与控制 · 数学 2023-05-26 Di Zhang , Xiaoya Zhai , Ligang Liu , Xiao-Ming Fu

Accurate simulations of various physical processes on digital computers requires huge computing performance, therefore accelerating these scientific and engineering applications has a great importance. Density of programmable logic devices…

性能 · 计算机科学 2014-08-26 Zoltan Nagy , Csaba Nemes , Antal Hiba , Arpad Csik , Andras Kiss , Miklos Ruszinko , Peter Szolgay

In this paper, we use the first-order virtual element method (VEM) to investigate the effect of shape quality of polyhedra in the estimation of the critical time step for explicit three-dimensional elastodynamic finite element (FE)…

数值分析 · 数学 2022-06-01 N. Sukumar , Michael R. Tupek

We propose a codec specifically designed for meshlet compression, optimized for rapid data-parallel GPU decompression within a mesh shader. Our compression strategy orders triangles in optimal generalized triangle strips (GTSs), which we…

Large language models (LLMs) have been widely applied but face challenges in efficient inference. While quantization methods reduce computational demands, ultra-low bit quantization with arbitrary precision is hindered by limited GPU Tensor…

机器学习 · 计算机科学 2025-03-14 Shaobo Ma , Chao Fang , Haikuo Shao , Zhongfeng Wang

This paper proposes a novel approach that combines variational integration with the bonded discrete element method (BDEM) to achieve faster and more accurate fracture simulations. The approach leverages the efficiency of implicit…

图形学 · 计算机科学 2025-04-28 Jia-Ming Lu , Geng-Chen Cao , Chen-Feng Li , Shi-Min Hu

By building on recent advances in the use of randomized trace estimation to drastically reduce the memory footprint of adjoint-state methods, we present and validate an imaging approach that can be executed exclusively on accelerators.…

地球物理 · 物理学 2022-03-14 Mathias Louboutin , Felix J. Herrmann

We propose a reduced space mixed finite element method (MFEM) built on a Skinning Eigenmode subspace and material-aware cubature scheme. Our solver is well-suited for simulating scenes with large material and geometric heterogeneities in…

图形学 · 计算机科学 2024-05-24 Ty Trusty , Otman Benchekroun , Eitan Grinspun , Danny M. Kaufman , David I. W. Levin

Recently, graphics processors (GPUs) have been increasingly leveraged in a variety of scientific computing applications. However, architectural differences between CPUs and GPUs necessitate the development of algorithms that take advantage…

数学软件 · 计算机科学 2015-01-05 Jonathan Wong , Ellen Kuhl , Eric Darve

This paper introduces a fast Central Processing Unit (CPU) implementation of geodesic morphological operations using stream processing. In contrast to the current state-of-the-art, that focuses on achieving insensitivity to the filter sizes…

性能 · 计算机科学 2019-12-02 Danijel Žlaus , Domen Mongus

While Transformers are dominated by Floating-Point (FP) Matrix-Multiplications, their aggressive acceleration through dedicated hardware or many-core programmable systems has shifted the performance bottleneck to non-linear functions like…

硬件体系结构 · 计算机科学 2025-04-16 Run Wang , Gamze Islamoglu , Andrea Belano , Viviane Potocnik , Francesco Conti , Angelo Garofalo , Luca Benini

The finite element method (FEM) is among the most commonly used numerical methods for solving engineering problems. Due to its computational cost, various ideas have been introduced to reduce computation times, such as domain decomposition,…

计算工程、金融与科学 · 计算机科学 2019-11-07 Andrea Mendizabal , Pablo Márquez-Neila , Stéphane Cotin

One of the most efficient ways to produce unconditional simulations is with the kernel convolution using fast Fourier transform (FFT) [1]. However, when data is located on a surface, this approach is not efficient because data needs to be…

统计计算 · 统计学 2016-01-18 Alexander Gribov

In this work, possibility of simulating biological organs in realtime using the Boundary Element Method (BEM) is investigated. Biological organs are assumed to follow linear elastostatic material behavior, and constant boundary element is…

计算工程、金融与科学 · 计算机科学 2014-02-11 Kirana Kumara P

Matrix-multiply-accumulate (MMA) units, or tensor cores, are now widespread across modern computing architectures. Yet, their use for particle-grid operators remains limited. In implicit particle methods, mass-matrix assembly is a…

计算工程、金融与科学 · 计算机科学 2026-04-22 Luca Pennati , Stefano Markidis

High-performance deep learning depends on efficient tensor programs. In recent years, automatic tensor program optimization, also known as tensor compilation, has emerged as the primary approach to generating efficient tensor programs.…

分布式、并行与集群计算 · 计算机科学 2025-02-18 Hangda Liu , Boyu Diao , Yu Yang , Wenxin Chen , Xiaohui Peng , Yongjun Xu

Performance optimization is the art of continuous seeking a harmonious mapping between the application domain and hardware. Recent years have witnessed a surge of deep learning (DL) applications in industry. Conventional wisdom for…

分布式、并行与集群计算 · 计算机科学 2019-11-27 Guoping Long , Jun Yang , Wei Lin

We present an efficient and accurate immersed boundary (IB) finite element (FE) method for internal flow problems with complex geometries (e.g., blood flow in the vascular system). In this study, we use a voxelized flow domain (discretized…

Typical areas of application of explicit dynamics are impact, crash test, and most importantly, wave propagation simulations. Due to the numerically highly demanding nature of these problems, efficient automatic mesh generators and…

计算工程、金融与科学 · 计算机科学 2021-04-21 Junqi Zhang , Ankit Ankit , Hauke Gravenkamp , Sascha Eisenträger , Chongmin Song

Adaptive finite elements combined with geometric multigrid solvers are one of the most efficient numerical methods for problems such as the instationary Navier-Stokes equations. Yet despite their efficiency, computations remain expensive…

数值分析 · 数学 2025-12-23 Manuel Liebchen , Robert Jendersie , Utku Kaya , Christian Lessig , Thomas Richter