Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation

NASA contract no. NAS1-19480
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National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor , Hampton, Va, [Springfield, Va
Finite element method., Algorithms., Computational fluid dynamics., Upwind schemes (Mathematics), Boundary value problems., Parallel processing (Computers), Newton methods., Schwartz me
Other titlesParallel Newton Krylov Schwarz algorithms for the transonic full potential equation
StatementXiao-Chuan Cai ... [et al.].
SeriesICASE report -- no. 96-39, NASA contractor report -- 198341, NASA contractor report -- NASA CR-198341.
ContributionsCai, Xiao-Chuan, 1962-., Langley Research Center.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL17129366M

Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation. Related Databases. SIAM Journal on Scientific ComputingA parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation.

Computers & Fluids96 Cited by: We study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential equation of aerodynamics discretized in two dimensions with bilinear elements. The overall algorithm, Newton--Krylov--Schwarz (NKS), employs an inexact finite difference Newton method and a Krylov space iterative method, with a two-level overlapping Schwarz method Cited by: The authors study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential equation of aerodynamics discretized in two.

We study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential equation of aerodynamics discretized in two dimensions with bilinear elements.

The overall algorithm, Newton-Krylov-Schwarz (NKS), employs an inexact finite difference Newton method and a Krylov space iterative method, with a two-level overlapping Schwarz Cited by: CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We study parallel two-level overlapping Schwarz algorithms for solving nonlinear nite element problems, in particular, for the full potential equation of aerodynamics discretized in two dimensions with bilinear elements.

The overall algorithm, Newton-Krylov-Schwarz (NKS), employs an inexact nite-di erence Newton. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential equation of aerodynamics discretized Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation book two dimensions with bilinear elements.

We study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential equation of aerodynamics discretized in two dimensions with bilinear elements.

ARZ ALGORITHMS F OR THE TRANSONIC FULL POTENTIAL EQUA TION XIA OCHUAN CAI y WILLIAM D GR OPP D A VIDEKEYES z R OBIN G MEL el o v erlapping Sc h arz algorithms for solving nonlinear nite elemen t problems in particular for the full p oten tial equation of aero dynamics discretized in t erall execution time and parallel eciency on a.

Abstract. We study parallel two-level overlapping Schwarz algorithms for solving nonlinear nite element problems, in particular, for the full potential equation of aerodynamics discretized in two dimensions with bilinear elements.

The overall algorithm, Newton{Krylov{Schwarz (NKS). Xiao-Chuan Cai, William D. Gropp, David E. Keyes, Robin G. Melvin and David P. Young, Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation, SIAM Journal on Scientific Computing, 19, 1, (), ().

Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. SIAM J. Sci. Comput., 19(1)–, zbMATH CrossRef MathSciNet Google Scholar by: 1.

() Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation. SIAM Journal on Scientific ComputingAbstract | PDF ( KB)Cited by: Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. By Xiao-chuan Cai, William D.

Gropp, David E. Keyes, Robin G. Melvin, David and P. Young. Abstract. Abstract. We study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential. Parallel Newton-KrylovSchwarz Algorithms for the Transonic Full Potential Equation.

By Xiao-chuan Cai, David E. Keyes, Robin G. Melvin and David P. Young. Abstract. We study parallel two-level overlapping Schwarz algorithms for solving nonlinear nite element problems, in particular, for the full potential equation of aerodynamics discretized.

Parallel Newton-Krylov-Schwarz Algorithms For The Transonic Full Potential Equation.

Description Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation FB2

By Xiao-chuan Cai, William D. Gropp, DAVID E. KEYES, ROBIN G. MELVIN and David P. Young. Abstract. We study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential equation of.

Globalized Newton-Krylov-Schwarz Algorithms and Software for Parallel Implicit CFD -C., Gropp, W. D., Keyes, D. E., Melvin, R. G., and Young, D. P Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation.

SIAM J. Scientific Computing Globalized Newton-Krylov-Schwarz Algorithms and Software for Cited by: Parallel Newton-Krylov-Schwarz Algorithms For The Transonic Full Potential Equation by Xiao-chuan Cai, William D.

Gropp, David E. Keyes, Robin G. Melvin, David P. Young, David P. Young. The Boeing Company Parallel Newton-Krylov-Schwarz Algorithms For The Transonic Full Potential Equation.

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Jan. Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. By Xiao-chuan Cai, William D. Gropp, David E. Keyes, Robin G. Melvin and David P. Young. Abstract. We study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential equation of.

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Algorithms for Testing the Diagonal Similarity of Matrices and Related Problems Preconditioned Iterative Methods for Solving Linear Least Squares Problems Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation.

One-level Newton-Krylov-Schwarz algorithm for unsteady non-linear radiation diffusion problem. Algebra Appl., 11(10)–, zbMATH CrossRef MathSciNet Google Scholar Cited by: Get this from a library.

Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation: NASA contract no. NAS [Xiao-Chuan Cai; Langley Research Center.;]. Newton-Krylov methods are potentially well suited for the implicit solution of nonlinear problems whenever it is unreasonable to compute or store a true Jacobian.

Krylov-Schwarz iterative methods are well suited for the parallel implicit solution of multidimensional systems of Cited by: A Parallel Scalable PETSc-Based Jacobi-Davidson Polynomial Eigensolver with Application in Quantum Dot Simulation.

Authors; Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. SIAM J. Sci. Comput., –, Cited by: 1. Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation.

By David E. Keyes, Xiao-Chuan Cai, William D. Gropp, David P. Young and Robin G. Melvin. Abstract. We study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential equation of.

@article{osti_, title = {A scalable nonlinear fluid–structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D}, author = {Kong, Fande and Cai, Xiao-Chuan}, abstractNote = {Nonlinear fluid-structure interaction (FSI) problems on unstructured meshes in 3D appear many applications in science and engineering, such as vibration.

Publications; Other Links; Contact; and X.-C. Cai, A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation, Computers and W.

Gropp, D. Keyes, R. Melvin, and D. Young, Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential. Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation SIAM Journal on Scientific Computing, Vol. 19, No. 1 A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex GeometriesCited by: We propose the use of a parallel pseudo-transient continuation (Ψtc) algorithm in conjunction with Newton–Krylov– Schwarz (NKS) algorithms [5] to compute a stable symmetric/asymmetric solution usable for pitchfork bifurcation analysis, and we use the case of 2D sudden expansion flows as an example to study the performance of a parallel Cited by: 5.

Newton-Krylov-Schwarz methods in CFD. January ; the full potential equation, and the Euler equations. The nonlinear system arising at each time step is solved by using a parallel.

The potential of this method to provide scalable parallel computing on a geographically broad grid of parallel computers was demonstrated for some linear and nonlinear elliptic problems discretized by finite differences on a Cartesian mesh. The main purpose of this paper is to present a generalization of the method to nonuniform Cartesian by: 4.We study parallel two-level overlapping Schwarz algorithms for solving nonlinear finite element problems, in particular, for the full potential equation of aerodynamics discretized in two dimensions with bilinear elements.

The overall algorithm, Newton-Krylov-Schwarz (NKS), employs an inexact finite-difference Newton method and a Krylov space iterative method, with a two-level overlapping.Implicit solution methods are important in applications modeled by PDEs with disparate temporal and spatial scales.

Because such applications require high resolution with reasonable turnaround, par Cited by: