A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Filters
Finite Element Integration on GPUs
2013
ACM Transactions on Mathematical Software
Preserved Fulltext
Other Versions
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. ...
majority of finite element codes. ...
doi:10.1145/2427023.2427027
fatcat:pgpexn6k3bhcbgbfh6uzo6hyme
3D finite element numerical integration on GPUs
2010
Procedia Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
The algorithmic and computational aspects of 3D finite element numerical integration on GPUs are investigated in the paper. ...
The close interplay between the available computational resources of GPUs and the possible implementation strategies and obtained results is observed. ...
It also depends on the order of approximation and usually (with some departures for special kinds of problems) is chosen so as to integrate exactly finite element integrals in a reference element. ...
doi:10.1016/j.procs.2010.04.121
fatcat:6676ihbzyngolj6d2u3mbbzkt4
Finite Element Integration with Quadrature on the GPU
[article]
2016
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
We present a novel, quadrature-based finite element integration method for low-order elements on GPUs, using a pattern we call thread transposition to avoid reductions while vectorizing aggressively. ...
On the NVIDIA GTX580, which has a nominal single precision peak flop rate of 1.5 TF/s and a memory bandwidth of 192 GB/s, we achieve close to 300 GF/s for element integration on first-order discretization ...
Providing a general, low-order integration method for the GPU based on quadrature will be necessary for the wider use of these architectures by finite element codes. ...
arXiv:1607.04245v1
fatcat:z7shx7tygradpesq7lvkniht4q
Numerical integration on GPUs for higher order finite elements
2014
Computers and Mathematics with Applications
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2013 pre-print arXiv:1310.1191v1 fatcat:it6dvx2rvbh6fczlxanyczi5g4
The paper considers the problem of implementation on graphics processors of numerical integration routines for higher order finite element approximations. ...
The design of suitable GPU kernels is investigated in the context of general purpose integration procedures, as well as particular example applications. ...
Thorough investigations of the finite element assembly process on GPUs were presented in [25] . ...
doi:10.1016/j.camwa.2014.01.021
fatcat:hxdvmj2tpndydgr22bhgjqrbie
FINITE ELEMENT MATRIX GENERATION ON A GPU
2012
Electromagnetic Waves
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
This paper presents an efficient technique for fast generation of sparse systems of linear equations arising in computational electromagnetics in a finite element method using higher order elements. ...
The proposed approach employs a graphics processing unit (GPU) for both numerical integration and matrix assembly. ...
A Tesla C2075 GPU donation from Nvidia is also gratefully acknowledged. ...
doi:10.2528/pier12040301
fatcat:4ivretp5f5a6xavcvejngldibi
GPU Accelerated Finite Element Assembly with Runtime Compilation
[article]
2018
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
There are many researches focus on finite element method with GPUs. However, most of the works are specific to certain problems and applications. ...
In this paper, we present architecture and implementation of finite element assembly for partial differential equations (PDEs) based on symbolic computation and runtime compilation technique on GPU. ...
In the z direction, a finite element is processed.
Fig. 2 A 3D thread block for finite element assembly: (A) A single thread which evaluates the integrand on an single integration point. ...
arXiv:1802.03433v1
fatcat:mcyobrwdmbaidckeouwlqbmjwe
A modular framework for deformation and fracture using GPU shaders
2012
2012 18th International Conference on Virtual Systems and Multimedia
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2016; you can also visit the original URL.
The file type is application/pdf.
the simulation within shader programs on recent GPU's. ...
Advances in the graphical realism of modern video games have been achieved mainly through the development of the GPU (Graphics Processing Unit), providing a dedicated graphics co-processor and framebuffer ...
novel method of connectivity of finite elements used to simulate material fracture on a GPU stream processing architecture. ...
doi:10.1109/vsmm.2012.6365934
dblp:conf/vsmm/MorrisAP12
fatcat:qn7i2zqasfdahh4w7t7mjotmn4
Global finite element matrix construction based on a CPU-GPU implementation
[article]
2015
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
This methodology allows generating the global sparse matrix from any unstructured finite element mesh size on GPUs with little memory capacity, only limited by the CPU memory. ...
The generation of the global finite element matrix is performed in two steps, computing the local matrices by numerical integration and assembling them into a global system, which has traditionally been ...
discretization with finite elements (FEs); (ii) Numerical integration of all FEs. ...
arXiv:1501.04784v1
fatcat:35c5al4xwjfybmbxv6jziargmi
A GPU-Based Parallel Procedure for Nonlinear Analysis of Complex Structures Using a Coupled FEM/DEM Approach
2013
Mathematical Problems in Engineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
This study reports the GPU parallelization of complex three-dimensional software for nonlinear analysis of concrete structures. It focuses on coupled thermomechanical analysis of complex structures. ...
The results show that dramatic performance improvements are gained from GPU parallelization. ...
Finally, conclusions regarding the GPU parallelization are drawn.
Coupled Finite/Discrete Element Model
Geometric Representation. Li et al. ...
doi:10.1155/2013/618980
fatcat:k7wbtb7mwbgt3gm4o4kxejpllq
Finite element numerical integration for first order approximations on multi- and many-core architectures
2016
Computer Methods in Applied Mechanics and Engineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2015 pre-print arXiv:1504.01023v1 fatcat:3mky4b27ibaljk3lpshqjs6mi4
The paper presents investigations on the implementation and performance of the finite element numerical integration algorithm for first order approximations and three processor architectures, popular in ...
The general conclusion is that the finite element numerical integration can achieve sufficient performance on different multi- and many-core architectures and should not become a performance bottleneck ...
one of computational kernels of finite element codes. ...
doi:10.1016/j.cma.2016.03.038
fatcat:m2jlmglvybhurjuwx662ftei2q
Comparison of the Structure of Equation Systems and the GPU Multifrontal Solver for Finite Difference, Collocation and Finite Element Method
2015
Procedia Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
The paper considers recently developed isogeometric versions of the collocation and finite element methods, employing B-splines for the computations and ensuring C p−1 continuity on the borders of elements ...
The article is an in-depth comparison of numerical solvers and corresponding solution processes of the systems of algebraic equations resulting from finite difference, collocation, and finite element approximations ...
Figure 7 : 7 Comparison of integration and execution times of our GPU solver for one dimensional multifrontal solver with isogeometric basis functions. ...
doi:10.1016/j.procs.2015.05.266
fatcat:ve5fopzusnbdtcrpxkqzesfm5e
GPU-Accelerated 3D Mesh Deformation for Optimization Based on the Finite Element Method
2017
Radioengineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
In order to accomplish this in a very short time numerical integration and the solution of the resulting system of equations are performed using a graphics processing unit (GPU). ...
This paper discusses a strategy for speeding up the mesh deformation process in the design-byoptimization of high-frequency components involving electromagnetic field simulations using the 3D finite element ...
For relatively small finite element meshes (where all the data fit on a single GPU), the matrix-assembly process can be executed in stages (3) and (4) . ...
doi:10.13164/re.2017.0924
fatcat:p7q42h4kivfuvkh2jj53s34oou
Real-time nonlinear finite element computations on GPU – Application to neurosurgical simulation
2010
Computer Methods in Applied Mechanics and Engineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
models, finite deformations and brain-skull contacts) in less than a minute on a personal computer for models having up to 50.000 degrees of freedom. ...
In this paper we present an implementation of our algorithms on a Graphics Processing Unit (GPU) using the new NVIDIA Compute Unified Device Architecture (CUDA) which leads to more than 20 times increase ...
The finite element algorithm, as implemented on CPU, is presented in Section 3. ...
doi:10.1016/j.cma.2010.06.037
pmid:21179562
pmcid:PMC3003932
fatcat:mpfcgke65famnggxgfksjkisra
GPU accelerated spectral finite elements on all-hex meshes
2016
Journal of Computational Physics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Other Versions
This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. ...
Performance tests demonstrate that problems with over 50 million degrees of freedom can be solved in a few seconds on an off-the-shelf GPU. ...
Knepley et al [15] described algorithms for efficient evaluation of finite element integrals on GPUs. ...
doi:10.1016/j.jcp.2016.08.005
fatcat:7hrof3chlrf3to2syccxl6umyq
Patient-specific non-linear finite element modelling for predicting soft organ deformation in real-time; Application to non-rigid neuroimage registration
2010
Progress in Biophysics and Molecular Biology
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
element procedures implemented on a graphics processing unit (GPU). ...
In contrast to commercial finite element codes that rely on an updated Lagrangian formulation and implicit integration in time domain for steady state solutions, our procedures utilise the total Lagrangian ...
Implementation of algorithms for computing soft tissue deformation on Graphics Processing Unit (GPU) Recent examples of implementation of non-linear finite element algorithms for computing soft tissue ...
doi:10.1016/j.pbiomolbio.2010.09.001
pmid:20868706
pmcid:PMC3107968
fatcat:ew6ziwlj5bhxrbldqv4rtfccli
« Previous
Showing results 1 — 15 out of 17,031 results