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Volumn 22, Issue 4, 2007, Pages 221-256

Performance and accuracy of hardware-oriented native-, emulated- and mixed-precision solvers in FEM simulations

Author keywords

Emulated precision; FEM; Graphics hardware; Large sparse linear equation systems; Mixed precision iterative refinement; Reconfigurable hardware

Indexed keywords

COMPUTER GRAPHICS; FIELD PROGRAMMABLE GATE ARRAYS (FPGA); FINITE ELEMENT METHOD; ITERATIVE METHODS; LINEAR EQUATIONS; PROBLEM SOLVING; VECTORS;

EID: 33947588604     PISSN: 17445760     EISSN: 17445779     Source Type: Journal    
DOI: 10.1080/17445760601122076     Document Type: Review
Times cited : (109)

References (64)
  • 3
    • 0000810983 scopus 로고
    • A floating-point technique for extending the available precision
    • Dekker, T.J., 1971, A floating-point technique for extending the available precision, Numerische Mathematik, 18, 224-242.
    • (1971) Numerische Mathematik , vol.18 , pp. 224-242
    • Dekker, T.J.1
  • 5
    • 0002811620 scopus 로고
    • Quasi double-precision in floating point addition
    • Moøller, O., 1965, Quasi double-precision in floating point addition. BIT, 5(1), 37-50.
    • (1965) BIT , vol.5 , Issue.1 , pp. 37-50
    • Moøller, O.1
  • 6
    • 0034859064 scopus 로고    scopus 로고
    • Algorithms for quad-double precision floating point arithmetic
    • N. Burgess and L. Ciminiera Eds
    • Hida, Y., Li, X.S. and Bailey, D.H., 2001, Algorithms for quad-double precision floating point arithmetic. In: N. Burgess and L. Ciminiera (Eds.) Proceedings of the 15th Symposium on Computer Arithmetic, pp. 155-162.
    • (2001) Proceedings of the 15th Symposium on Computer Arithmetic , pp. 155-162
    • Hida, Y.1    Li, X.S.2    Bailey, D.H.3
  • 8
    • 0026169919 scopus 로고
    • Algorithms for arbitrary precision floating point arithmetic
    • Priest, D.M., 1991, Algorithms for arbitrary precision floating point arithmetic. 10th IEEE Symposium on Computer Arithmetic, pp. 132-143.
    • (1991) 10th IEEE Symposium on Computer Arithmetic , pp. 132-143
    • Priest, D.M.1
  • 9
    • 0031518093 scopus 로고    scopus 로고
    • Adaptive precision floating-point arithmetic and fast robust geometric predicates
    • October
    • Shewchuk, J.R., 1997, Adaptive precision floating-point arithmetic and fast robust geometric predicates, Discrete & Computational Geometry, October 18(3), 305-363.
    • (1997) Discrete & Computational Geometry , vol.18 , Issue.3 , pp. 305-363
    • Shewchuk, J.R.1
  • 11
    • 34250324757 scopus 로고    scopus 로고
    • Free Software Foundation, Inc., GNU Multiple Precision Arithmetic Library, 4.2.1 edition, 2006. http://www.swox.com/gmp.
    • Free Software Foundation, Inc., GNU Multiple Precision Arithmetic Library, 4.2.1 edition, 2006. http://www.swox.com/gmp.
  • 13
    • 0012065017 scopus 로고
    • Handbook series linear algebra: Iterative refinement of the solution of a positive definite system of equations
    • Martin, R.S., Peters, G. and Wilkinson, J.H., 1966, Handbook series linear algebra: iterative refinement of the solution of a positive definite system of equations, Numerische Mathematik, 8, 203-216.
    • (1966) Numerische Mathematik , vol.8 , pp. 203-216
    • Martin, R.S.1    Peters, G.2    Wilkinson, J.H.3
  • 14
    • 0012066965 scopus 로고
    • Handbook series linear algebra: Solution of real and complex systems of linear equations
    • Bowdler, H.J., Martin, R.S., Peters, G. and Wilkinson, J.H., 1966, Handbook series linear algebra: solution of real and complex systems of linear equations, Numerische Mathematik, 8, 217-234.
    • (1966) Numerische Mathematik , vol.8 , pp. 217-234
    • Bowdler, H.J.1    Martin, R.S.2    Peters, G.3    Wilkinson, J.H.4
  • 16
    • 27844475071 scopus 로고    scopus 로고
    • Genaue Lösung linearer Gleichungssysteme
    • Zielke, G. and Drygalla, V., 2003, Genaue Lösung linearer Gleichungssysteme, GAMM-Mitteilungen, 2(1), 7-107.
    • (2003) GAMM-Mitteilungen , vol.2 , Issue.1 , pp. 7-107
    • Zielke, G.1    Drygalla, V.2
  • 21
  • 22
    • 84893641728 scopus 로고    scopus 로고
    • A decade of reconfigurable computing: A visionary retrospective
    • March
    • Hartenstein, R., 2001, A decade of reconfigurable computing: a visionary retrospective, Design, Automation and Test in Europe-DATE, March 2001.
    • (2001) Design, Automation and Test in Europe-DATE
    • Hartenstein, R.1
  • 27
    • 0038345686 scopus 로고    scopus 로고
    • Suh, J., Kim, E., Crago, S.P., Srinivasan, L. and French, M.C., 2003, A performance analysis of PIM, stream processing, and tiled processing on memory-intensive signal processing kernels. In: D. DeGroot (Ed.) Proceedings of the 30th Annual International Symposium on Computer Architecture (ISCA-03), 31 of Computer Architecture News June (New York, NY: ACM Press), pp. 410-421.
    • Suh, J., Kim, E., Crago, S.P., Srinivasan, L. and French, M.C., 2003, A performance analysis of PIM, stream processing, and tiled processing on memory-intensive signal processing kernels. In: D. DeGroot (Ed.) Proceedings of the 30th Annual International Symposium on Computer Architecture (ISCA-03), Volume 31 of Computer Architecture News June (New York, NY: ACM Press), pp. 410-421.
  • 30
    • 34250340949 scopus 로고    scopus 로고
    • Clearspeed, CSX600. www.clearspeed.com/downloads/CSX600Processor.pdf, 2006.
    • (2006) Clearspeed, CSX600
  • 31
    • 34250303542 scopus 로고    scopus 로고
    • IBM Sony, Cell BE
    • IBM Sony, Toshiba. Cell BE. http://www.ibm.com/developerworks/power/cell.
    • Toshiba
  • 34
    • 34250312509 scopus 로고    scopus 로고
    • AGEIA
    • AGEIA. PhysX. http://www.ageia.com/products/physx.html.
    • PhysX
  • 54
    • 0000227930 scopus 로고    scopus 로고
    • Reconfigurable computing: A survey of systems and software
    • Compton, K. and Hauck, S., 2002, Reconfigurable computing: a survey of systems and software, ACM Computing Surveys, 34(2), 171-210.
    • (2002) ACM Computing Surveys , vol.34 , Issue.2 , pp. 171-210
    • Compton, K.1    Hauck, S.2
  • 56
    • 34250366305 scopus 로고    scopus 로고
    • Numerical analysis and practical aspects of a robust and efficient grid deformation method in the finite element context, Ergebnisberichte des Instituts für Angewandte Mathematik
    • Universität Dortmund
    • Grajewski, M., Köster, M., Kilian, S. and Turek, S., 2005, Numerical analysis and practical aspects of a robust and efficient grid deformation method in the finite element context, Ergebnisberichte des Instituts für Angewandte Mathematik, Nr. 294, FB Mathematik, Universität Dortmund.
    • (2005) FB Mathematik , Issue.NR. 294
    • Grajewski, M.1    Köster, M.2    Kilian, S.3    Turek, S.4
  • 57
    • 34250336967 scopus 로고    scopus 로고
    • Industrial Light & Magic, OpenEXR, implementation of the half data type
    • Industrial Light & Magic, OpenEXR, implementation of the half data type.
  • 59
    • 34250319810 scopus 로고    scopus 로고
    • Göddeke, D., Strzodka, R. and Turek, S., 2005, Accelerating double precision FEM simulations with GPUs. In: F. Hülsemann, M. Kowarschik and U. Rüde (Eds.) 18th Symposium Simulations Technique Frontiers in Simulation, ASIM 2005 (Erlangen: SCS Publishing House e.V.), pp. 139-144.
    • Göddeke, D., Strzodka, R. and Turek, S., 2005, Accelerating double precision FEM simulations with GPUs. In: F. Hülsemann, M. Kowarschik and U. Rüde (Eds.) 18th Symposium Simulations Technique volume Frontiers in Simulation, ASIM 2005 (Erlangen: SCS Publishing House e.V.), pp. 139-144.
  • 60
    • 34250373386 scopus 로고    scopus 로고
    • Integrating GPUs as fast co-processors into the parallel FE package FEAST
    • M. Becker and H. Szczerbicka Eds
    • Göddeke, D., Becker, Ch. and Turek, S., 2006, Integrating GPUs as fast co-processors into the parallel FE package FEAST. In: M. Becker and H. Szczerbicka (Eds.) Proceedings of the 19th Symposium on Simulation Technique, pp. 277-282.
    • (2006) Proceedings of the 19th Symposium on Simulation Technique , pp. 277-282
    • Göddeke, D.1    Becker, C.2    Turek, S.3
  • 61
    • 34250351966 scopus 로고    scopus 로고
    • Altieri, M., Becker, Ch. and Turek, S., 1999, On the realistic performance of linear algebra components in iterative solvers. In: H.-J. Bungartz, F. Durst and Chr. Zenger (Eds.) High Performance Scientific and Engineering Computing: Proceedings of the International FORTWIHR Conference on HPSEC, 8 of Lecture Notes in Computational Science and Engineering (Berlin: Springer), pp. 3-12.
    • Altieri, M., Becker, Ch. and Turek, S., 1999, On the realistic performance of linear algebra components in iterative solvers. In: H.-J. Bungartz, F. Durst and Chr. Zenger (Eds.) High Performance Scientific and Engineering Computing: Proceedings of the International FORTWIHR Conference on HPSEC, volume 8 of Lecture Notes in Computational Science and Engineering (Berlin: Springer), pp. 3-12.
  • 63
    • 34250331925 scopus 로고    scopus 로고
    • Becker, Ch., Kilian, S. and Turek, S., 2002, Hardware-oriented numerics and concepts for PDE software. FUTURE 1095 (Amsterdam; International Conference on Computational Science ICCS2002 Elsevier), pp. 1-23.
    • Becker, Ch., Kilian, S. and Turek, S., 2002, Hardware-oriented numerics and concepts for PDE software. FUTURE 1095 (Amsterdam; International Conference on Computational Science ICCS2002 Elsevier), pp. 1-23.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.