High Performance Computing For Solving Large Sparse Systems Optical Diffraction Tomography As A Case Of Study

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High Performance Computing For Solving Large Sparse Systems Optical Diffraction Tomography As A Case Of Study

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Author : Gloria Ortega López
language : en
Publisher: Universidad Almería
Release Date : 2015-04-14

High Performance Computing For Solving Large Sparse Systems Optical Diffraction Tomography As A Case Of Study written by Gloria Ortega López and has been published by Universidad Almería this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-14 with categories.

This thesis, entitled €High Performance Computing for solving large sparse systems. Optical Diffraction Tomography as a case of study€ investigates the computational issues related to the resolution of linear systems of equations which come from the discretization of physical models described by means of Partial Differential Equations (PDEs). These physical models are conceived for the description of the space-temporary behavior of some physical phenomena f(x, y, z, t) in terms of their variations (partial derivative) with respect to the dependent variables of the phenomena. There is a wide variety of discretization methods for PDEs. Two of the most well-known methods are the Finite Difference Method (FDM) and the Finite Element Method (FEM). Both methods result in an algebraic description of the model that can be translated into the approach of a linear system of equations of type (Ax = b), where A is a sparse matrix (a high percentage of zero elements) whose size depends on the required accuracy of the modeled phenomena. This thesis begins with the algebraic description of the model associated with the physical phenomena, and the work herein has been focused on the design of techniques and computational models that allow the resolution of these linear systems of equations. The main interest of this study is specially focused on models which require a high level of discretization and usually generate sparse matrices, A, which have a highly sparse structure and large size. Literature characterizes these types of problems by their high demanding computational requirements (because of their fine degree of discretization) and the sparsity of the matrices involved, suggesting that these kinds of problems can only be solved using High Performance Computing techniques and architectures. One of the main goals of this thesis is the research of the possible alternatives which allow the implementation of routines to solve large and sparse linear systems of equations using High Performance Computing (HPC). The use of massively parallel platforms (GPUs) allows the acceleration of these routines, because they have several advantages for vectorial computation schemes. On the other hand, the use of distributed memory platforms allows the resolution of problems defined by matrices of enormous size. Finally, the combination of both techniques, distributed computation and multi-GPUs, will allow faster resolution of interesting problems in which large and sparse matrices are involved. In this line, one of the goals of this thesis is to supply the scientific community with implementations based on multi-GPU clusters to solve sparse linear systems of equations, which are the key in many scientific computations. The second part of this thesis is focused on a real physical problem of Optical Diffractional Tomography (ODT) based on holographic information. ODT is a non-damaging technique which allows the extraction of the shapes of objects with high accuracy. Therefore, this technique is very suitable to the in vivo study of real specimens, microorganisms, etc., and it also makes the investigation of their dynamics possible. A preliminary physical model based on a bidimensional reconstruction of the seeding particle distribution in fluids was proposed by J. Lobera and J.M. Coupland. However, its high computational cost (in both memory requirements and runtime) made compulsory the use of HPC techniques to extend the implementation to a three dimensional model. In the second part of this thesis, the implementation and validation of this physical model for the case of three dimensional reconstructions is carried out. In such implementation, the resolution of large and sparse linear systems of equations is required. Thus, some of the algebraic routines developed in the first part of the thesis have been used to implement computational strategies capable of solving the problem of 3D reconstruction based on ODT.

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1994

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.

Energy Research Abstracts

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Author :
language : en
Publisher:
Release Date : 1989

Energy Research Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Power resources categories.

Applied Mechanics Reviews

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Author :
language : en
Publisher:
Release Date : 1993

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mechanics, Applied categories.

Comprehensive Dissertation Index

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Author :
language : en
Publisher:
Release Date : 1989

Comprehensive Dissertation Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Dissertations, Academic categories.

Electrical Electronics Abstracts

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Author :
language : en
Publisher:
Release Date : 1997

Electrical Electronics Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Electrical engineering categories.

Physics Briefs

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Author :
language : en
Publisher:
Release Date : 1986

Physics Briefs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Physics categories.

Government Reports Annual Index

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Author :
language : en
Publisher:
Release Date : 1984

Government Reports Annual Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Government reports announcements & index categories.

Index To Ieee Publications

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Author : Institute of Electrical and Electronics Engineers
language : en
Publisher:
Release Date : 1996

Index To Ieee Publications written by Institute of Electrical and Electronics Engineers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Electric engineering categories.

Issues for 1973- cover the entire IEEE technical literature.

Science Citation Index

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Author :
language : en
Publisher:
Release Date : 1995

Science Citation Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.

Vols. for 1964- have guides and journal lists.