LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
Software Vectorization Handbook, The: Applying Intel Multimedia Extensions for Maximum Performance
Software Vectorization Handbook, The: Applying Intel Multimedia Extensions for Maximum Performance
Advances in Engineering Software
Computer Architecture, Fourth Edition: A Quantitative Approach
Computer Architecture, Fourth Edition: A Quantitative Approach
Streaming SIMD Extensions applied to boundary element codes
Advances in Engineering Software
On the Implementation of Boundary Element Engineering Codes on the Cell Broadband Engine
High Performance Computing for Computational Science - VECPAR 2008
Computer Organization and Design: The Hardware/Software Interface
Computer Organization and Design: The Hardware/Software Interface
Parallel boundary elements: a portable 3-D elastostatic implementation for shared memory systems
VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science
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After years dominating high performance computing, expensive vector computers were gradually replaced by more affordable solutions and the use of vectorization techniques once applied to many scientific codes also faded. This paper addresses the vectorization of engineering codes using Streaming SIMD Extensions (SSE) also known as multimedia instructions. This particular kind of vectorization differs from the old vectorization techniques in the sense that it relies on hardware features and instruction sets only present on modern processors. Evolving from Intel MMX, SSE is the fifth generation of an established technology highly suited to handle computing intensive tasks like encryption/ decryption, audio and video compression, also including digital signal processing but not so well explored for scientific computing, specially among engineering programmers. To demonstrate the benefits of vector/SIMD computing and its implementation on existing scalar algorithms, the authors present this technique applied to an engineering program for the solution of two dimensional elastostatic problems with the boundary element method. Taking an application from a well-know reference on the area, the paper focus on the programming techniques and addresses common tasks used in many other codes, like Gauss integration and equations system assembling. Thus, the vectorization guidelines provided here may also be extended to solve many other types of problems, using other numerical methods as well as other multimedia instruction set extensions. Numerical experiments show the effectiveness of the proposed approach.