Parallel solution of some large-scale eigenvalue problems arising in chemistry and physics

Lecture Notes in Computer Science - Applied Parallel Computing Large Scale Scientific and Industrial Problems ◽

10.1007/bfb0095339 ◽

1998 ◽

pp. 216-223

Author(s):

David L. Harrar ◽

Michael R. Osborne

Keyword(s):

Large Scale ◽

Eigenvalue Problems ◽

Parallel Solution

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Parallel Solution of Large Scale Quadratic Programs

Applied Optimization - High Performance Algorithms and Software in Nonlinear Optimization ◽

10.1007/978-1-4613-3279-4_13 ◽

1998 ◽

pp. 189-205 ◽

Author(s):

Emanuele Galligani ◽

Valeria Ruggiero ◽

Luca Zanni

Keyword(s):

Large Scale ◽

Quadratic Programs ◽

Parallel Solution

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The RSRR method for solving large-scale nonlinear eigenvalue problems in boundary element method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2018.05.005 ◽

2018 ◽

Vol 93 ◽

pp. 150-160 ◽

Author(s):

Jinyou Xiao ◽

Junpeng Wang ◽

Tengfei Liang ◽

Lihua Wen

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Large Scale ◽

Eigenvalue Problems ◽

Nonlinear Eigenvalue Problems ◽

Element Method ◽

Nonlinear Eigenvalue

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A Parallel Solution of Large-Scale Heat Equation Based on Distributed Memory Hierarchy System

Algorithms and Architectures for Parallel Processing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-13136-3_42 ◽

2010 ◽

pp. 413-421

Author(s):

Tangpei Cheng ◽

Qun Wang ◽

Xiaohui Ji ◽

Dandan Li

Keyword(s):

Heat Equation ◽

Large Scale ◽

Distributed Memory ◽

Memory Hierarchy ◽

Parallel Solution

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Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations

Euro-Par 2006 Parallel Processing - Lecture Notes in Computer Science ◽

10.1007/11823285_74 ◽

2006 ◽

pp. 710-719 ◽

Author(s):

José M. Badía ◽

Peter Benner ◽

Rafael Mayo ◽

Enrique S. Quintana-Ortí

Keyword(s):

Large Scale ◽

Riccati Equations ◽

Parallel Solution ◽

Algebraic Riccati Equations

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Iterative and Parallel Solution Strategies for PC based Large Scale, Finite Element Analyses

Developments in Computational Mechanics with High Performance Computing ◽

10.4203/ccp.57.3.2 ◽

2009 ◽

Author(s):

C. Kasbergen ◽

A. Scarpas ◽

J. Blaauwendraad

Keyword(s):

Finite Element ◽

Large Scale ◽

Finite Element Analyses ◽

Parallel Solution ◽

Solution Strategies

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Iterative Projection Methods for Large-Scale Nonlinear Eigenvalue Problems

Computational Technology Reviews ◽

10.4203/ctr.1.7 ◽

2010 ◽

Vol 1 ◽

pp. 187-214 ◽

Author(s):

H. Voss

Keyword(s):

Large Scale ◽

Eigenvalue Problems ◽

Projection Methods ◽

Nonlinear Eigenvalue Problems ◽

Nonlinear Eigenvalue

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A parallel generalized conjugate gradient method for large scale eigenvalue problems

CCF Transactions on High Performance Computing ◽

10.1007/s42514-020-00029-6 ◽

2020 ◽

Vol 2 (2) ◽

pp. 111-122

Author(s):

Yu Li ◽

Hehu Xie ◽

Ran Xu ◽

Chun’guang You ◽

Ning Zhang

Keyword(s):

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Large Scale ◽

Eigenvalue Problems

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Hybrid finite element transfer matrix method and its parallel solution for fast calculation of large-scale structural eigenproblem

Applied Mathematical Modelling ◽

10.1016/j.apm.2019.07.032 ◽

2020 ◽

Vol 77 ◽

pp. 169-181

Author(s):

Bao Rong ◽

Kun Lu ◽

Xiaojun Ni ◽

Jian Ge

Keyword(s):

Finite Element ◽

Transfer Matrix ◽

Transfer Matrix Method ◽

Matrix Method ◽

Large Scale ◽

Fast Calculation ◽

Parallel Solution ◽

Hybrid Finite Element ◽

Element Transfer

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Efficient numerical methods for the large-scale, parallel solution of elastoplastic contact problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4977 ◽

2015 ◽

Vol 105 (6) ◽

pp. 416-439 ◽

Author(s):

Jörg Frohne ◽

Timo Heister ◽

Wolfgang Bangerth

Keyword(s):

Numerical Methods ◽

Large Scale ◽

Contact Problems ◽

Parallel Solution ◽

Elastoplastic Contact

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Compressible Flow Simulations on a Massively Parallel Computer

International Journal of Modern Physics C ◽

10.1142/s0129183191000640 ◽

1991 ◽

Vol 02 (01) ◽

pp. 430-436

Author(s):

ELAINE S. ORAN ◽

JAY P. BORIS

Keyword(s):

Compressible Flow ◽

Chemical Reactions ◽

Large Scale ◽

Model Development ◽

Time Dependent ◽

Parallel Computer ◽

Massively Parallel ◽

Parallel Solution ◽

Flow Simulations ◽

Connection Machine

This paper describes model development and computations of multidimensional, highly compressible, time-dependent reacting on a Connection Machine (CM). We briefly discuss computational timings compared to a Cray YMP speed, optimal use of the hardware and software available, treatment of boundary conditions, and parallel solution of terms representing chemical reactions. In addition, we show the practical use of the system for large-scale reacting and nonreacting flows.

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