Bjorn Nutti, Dragan Marinkovic
The paper presents a highly efficient way of simulating the dynamic behavior of deformable objects by means of the finite element method (FEM) with computations performed on Graphics Processing Units (GPU). The presented implementation reduces bottlenecks related to memory accesses by grouping the necessary data per node pairs, in contrast to the classical way done […]
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A. F. P. Camargos, V. C. Silva
We present a performance analysis of a parallel implementation of both conjugate gradient and preconditioned conjugate gradient solvers using graphic processing units with CUDA parallel programming model. The solvers were optimized for a fast solution of sparse systems of equations arising from Finite Element Analysis (FEA) of electromagnetic phenomena. The preconditioners were Incomplete Cholesky factorization […]
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Graham Robert Markall
How do we build maintainable, robust, and performance-portable scientific applications? This thesis argues that the answer to this software engineering question in the context of the finite element method is through the use of layers of Domain-Specific Languages (DSLs) to separate the various concerns in the engineering of such codes. Performance-portable software achieves high performance […]
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M. Paszynski, K. Kuznik, V.M. Calo, D. Pardo
We present a multi-frontal direct solver for two dimensional isogeometric finite element method simulations with NVIDIA CUDA and perform numerical experiments for linear, quadratic and cubic B-splines. We compare the computational cost O(Np^2) for 2D parallel shared memory implementation with the corresponding estimate O(N^1.5p^3) for a standard 2D sequential implementation. We conclude the presentation with […]
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Krzysztof Banas, Przemyslaw Plaszewski, Pawel Maciol
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. The most important characteristic of the problem investigated is the large variation of […]
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Jorge Frances Monllor, Sergio Bleda Perez, Jani Tervo, Cristian Neipp Lopez, Andres Marquez Ruiz, Inmaculada Pascual Villalobos, Augusto Belendez Vazquez
The Split-Field Finite-Difference Time-Domain (SF-FDTD) scheme is an optimal formulation for modeling periodic optical media by means of a single unit period. The split-field components and the Periodic Boundary Condition (BPC) in the periodic boundaries allow to obtain successful results even with oblique angle of incidence. Under this situation the standard FDTD scheme requires multiple […]
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Lixiang Wang, Shihai Li, Guoxin Zhang, Zhaosong Ma, Lei Zhang
This study reports the GPU parallelization of complex three-dimensional software for nonlinear analysis of concrete structures. It focuses on coupled thermo-mechanical analysis of complex structures. A coupled FEM/DEM approach (CDEM) is given from a fundamental theoretical viewpoint. As the modeling of a large structure by means of FEM/DEM may lead to prohibitive computation times, a […]
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V. Ziaei-Rad, Y. Shen
Phase field models for fracture employ a continuous field variable to model cracks. Therefore, in contrast to discrete descriptions of fracture, numerical tracking of discontinuities in the displacement field are not required. This really reduces implementation complexity. In this paper, we discuss the use of a single graphical processing unit (GPU) to accelerate the solution […]
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Andrea Bartezzaghi
The study of thin structures is very common nowadays and useful in different fields. An important example is the analysis of sail dynamics. In this context, accurate simulations of the interaction between the sail and the wind are also required. However, this kind of fluid-structure interaction problems are very computationally expensive. First objective of this […]
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Tingxing Dong, Veselin Dobrev, Tzanio Kolev, Robert Rieben, Stanimire Tomov, Jack Dongarra
The explosion of parallelism and heterogeneity in today’s computer architectures has created opportunities as well as challenges for redesigning legacy numerical software to harness the power of new hardware. In this paper we address the main challenges in redesigning BLAST { a numerical library that solves the equations of compressible hydrodynamics using high order finite […]
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Shi-Lun Huang
The purpose of this work is to study the performance of parallel computation of Finite Element Method using the NVIDIA’s CUDA. The numerical experiments are performed only on the stiffness matrix using the conjugate gradient method. In addition, the generalized minimal residual method is considered to solve the Stokes problem using both PETSc and CUDA. […]
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D. Herrero, J. Martinez, P. Marti
This work presents the implementation of a topology optimization approach based on level set method in massively parallel computer architectures, in particular on a Graphics Processing Unit (GPU). Such architectures are becoming so popular during last years for complex and tedious scientific computation. They are composed of dozens, hundreds, or even thousands of cores specially […]
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