Special solution strategies inside a spectral element ocean model

Craig C. Douglas, Gundolf Haase, Mohamed Iskandarani, Stefan Reitzinger

Research output: Contribution to journalArticle

Abstract

We present three ideas to accelerate the filtering process used in the multilayered Spectral Element Ocean Model (SEOM). We define and analyze a Schur complement preconditioner, a lumping of small entries and an algebraic multigrid (AMG) algorithm, and a algebraic multigrid with patch smoothing algorithm. Finally, we analyze the impact of variations of the Schur complement and AMG methods on memory and computer time.

Original languageEnglish (US)
Pages (from-to)309-322
Number of pages14
JournalMathematical Models and Methods in Applied Sciences
Volume13
Issue number3
DOIs
StatePublished - Mar 2003

Fingerprint

Algebraic multigrid
Spectral Elements
Schur Complement
Ocean
Algebraic multigrid Method
Smoothing Algorithm
Preconditioner
Accelerate
Patch
Filtering
Data storage equipment
Model
Strategy

Keywords

  • Algebraic multigrid
  • Domain decomposition
  • h-p finite elements
  • Krylov space methods
  • Preconditioning
  • Schur complement

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Special solution strategies inside a spectral element ocean model. / Douglas, Craig C.; Haase, Gundolf; Iskandarani, Mohamed; Reitzinger, Stefan.

In: Mathematical Models and Methods in Applied Sciences, Vol. 13, No. 3, 03.2003, p. 309-322.

Research output: Contribution to journalArticle

Douglas, Craig C. ; Haase, Gundolf ; Iskandarani, Mohamed ; Reitzinger, Stefan. / Special solution strategies inside a spectral element ocean model. In: Mathematical Models and Methods in Applied Sciences. 2003 ; Vol. 13, No. 3. pp. 309-322.
@article{4b8d506281124eb8af1df7bc5ba95119,
title = "Special solution strategies inside a spectral element ocean model",
abstract = "We present three ideas to accelerate the filtering process used in the multilayered Spectral Element Ocean Model (SEOM). We define and analyze a Schur complement preconditioner, a lumping of small entries and an algebraic multigrid (AMG) algorithm, and a algebraic multigrid with patch smoothing algorithm. Finally, we analyze the impact of variations of the Schur complement and AMG methods on memory and computer time.",
keywords = "Algebraic multigrid, Domain decomposition, h-p finite elements, Krylov space methods, Preconditioning, Schur complement",
author = "Douglas, {Craig C.} and Gundolf Haase and Mohamed Iskandarani and Stefan Reitzinger",
year = "2003",
month = "3",
doi = "10.1142/S0218202503002519",
language = "English (US)",
volume = "13",
pages = "309--322",
journal = "Mathematical Models and Methods in Applied Sciences",
issn = "0218-2025",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",

}

TY - JOUR

T1 - Special solution strategies inside a spectral element ocean model

AU - Douglas, Craig C.

AU - Haase, Gundolf

AU - Iskandarani, Mohamed

AU - Reitzinger, Stefan

PY - 2003/3

Y1 - 2003/3

N2 - We present three ideas to accelerate the filtering process used in the multilayered Spectral Element Ocean Model (SEOM). We define and analyze a Schur complement preconditioner, a lumping of small entries and an algebraic multigrid (AMG) algorithm, and a algebraic multigrid with patch smoothing algorithm. Finally, we analyze the impact of variations of the Schur complement and AMG methods on memory and computer time.

AB - We present three ideas to accelerate the filtering process used in the multilayered Spectral Element Ocean Model (SEOM). We define and analyze a Schur complement preconditioner, a lumping of small entries and an algebraic multigrid (AMG) algorithm, and a algebraic multigrid with patch smoothing algorithm. Finally, we analyze the impact of variations of the Schur complement and AMG methods on memory and computer time.

KW - Algebraic multigrid

KW - Domain decomposition

KW - h-p finite elements

KW - Krylov space methods

KW - Preconditioning

KW - Schur complement

UR - http://www.scopus.com/inward/record.url?scp=0037354796&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037354796&partnerID=8YFLogxK

U2 - 10.1142/S0218202503002519

DO - 10.1142/S0218202503002519

M3 - Article

VL - 13

SP - 309

EP - 322

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

SN - 0218-2025

IS - 3

ER -