high performance computing on graphics processing units: hgpu.org

The accurate simulation of real-world phenomena in computational science is often based on an underlying mathematical model comprising a system of partial differential equations (PDEs). Important research fields that we pursue in this setting are computational solid mechanics and computational fluid dynamics (CSM and CFD, see Section 3). Practical applications range from material failure tests, […]

We present a novel finite element integration method for low order elements on GPUs. We achieve more than 100GF for element integration on first order discretizations of both the Laplacian and Elasticity operators.

The webinar will provide an overview and use cases for CUDA and OpenCL, as well as a tutorial on how to use CUDA from within Mathematica. Topics: Overview of GPU, CUDA, and OpenCL Image Processing on the GPU Programming the GPU Using Mathematica GPU Programming Workflow within Mathematica

Processor technology is still dramatically advancing and promises enormous improvements in processing data for the next decade. These improvements are driven by parallelisation and specialisation of resources, and “unconventional hardware” like GPUs or the Cell processor can be seen as forerunners of this development. At the same time, much smaller advances are expected in moving […]

In this survey paper, we compare native double precision solvers with emulated- and mixed-precision solvers of linear systems of equations as they typically arise in finite element discretisations. The emulation utilises two single float numbers to achieve higher precision, while the mixed precision iterative refinement computes residuals and updates the solution vector in double precision […]

This article explores the coupling of coarse and fine-grained parallelism for Finite Element simulations based on efficient parallel multigrid solvers. The focus lies on both system performance and a minimally invasive integration of hardware acceleration into an existing software package, requiring no changes to application code. Because of their excellent price performance ratio, we demonstrate […]

We have previously presented an approach to include graphics processing units as co-processors in a parallel Finite Element multigrid solver called FEAST. In this paper we show that the acceleration transfers to real applications built on top of FEAST, without any modifications of the application code. The chosen solid mechanics code is well suited to […]

The present work has been motivated by the continuous growth of General Purpose Graphic Processor Unit (GPGPU) technologies as well as the necessity of linking usability with multiscale materials processing and design. The inverse problem of determining the phenomenological interparticle Lenard-Jones potential governing the fracture dynamics of a two dimensional structure under tension, is used […]

FEAST (Finite Element Analysis & Solutions Tools) is a Finite Element based solver toolkit for the simulation of PDE problems on parallel HPC systems which implements the concept of “hardware-oriented numerics”, a holistic approach aiming at optimal performance for modern numerics. In this paper, we describe this concept and the modular design which enables applications […]

Fast, robust and efficient multigrid solvers are a key numerical tool in the solution of partial differential equations discretised with finite elements. The vast majority of practical simulation scenarios requires that the underlying grid is unstructured, and that high-order discretisations are used. On the other hand, hardware is quickly evolving towards parallelism and heterogeneity, even […]

We present different kernels based on Lattice-Boltzmann methods for the solution of the two-dimensional Shallow Water and Navier-Stokes equations on fully structured lattices. The functionality ranges from simple scenarios like open-channel flows with planar beds to simulations with complex scene geometries like solid obstacles and non-planar bed topography with dry-states and even interaction of the […]

We present an efficient method for the simulation of laminar fluid flows with free surfaces including their interaction with moving rigid bodies, based on the two-dimensional shallow water equations and the Lattice-Boltzmann method. Our implementation targets multiple fundamentally different architectures such as commodity multicore CPUs with SSE, GPUs, the Cell BE and clusters. We show […]