A Nonlocal Laplacian-Based Model for Bituminous Surfacing Crack Recovery and its MPI Implementation

Noémie Debroux; Carole Le Guyader; Luminita A. Vese

doi:10.1007/s10851-020-00968-3

A Nonlocal Laplacian-Based Model for Bituminous Surfacing Crack Recovery and its MPI Implementation

Journal of Mathematical Imaging and Vision ◽

10.1007/s10851-020-00968-3 ◽

2020 ◽

Vol 62 (6-7) ◽

pp. 1007-1033

Author(s):

Noémie Debroux ◽

Carole Le Guyader ◽

Luminita A. Vese

Keyword(s):

Mpi Implementation

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Performance Characterization of a Hierarchical MPI Implementation on Large-scale Distributed-memory Platforms

2009 International Conference on Parallel Processing ◽

10.1109/icpp.2009.51 ◽

2009 ◽

Author(s):

Sadaf R. Alam ◽

Richard Barrett ◽

Jeffery Kuehn ◽

Steve Poole

Keyword(s):

Large Scale ◽

Distributed Memory ◽

Performance Characterization ◽

Mpi Implementation

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Performance Analysis, PVM and MPI Implementation of a DSCF Hartree Fock Program

Journal of Computing and Information Technology ◽

10.2498/cit.2000.01.03 ◽

2000 ◽

Vol 8 (1) ◽

pp. 19 ◽

Cited By ~ 4

Author(s):

Siegfried Hoefinger ◽

Othmar Steinhauser ◽

Peter Zinterhof

Keyword(s):

Performance Analysis ◽

Hartree Fock ◽

Mpi Implementation

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An MPI implementation of the BLACS

Proceedings of 3rd International Conference on High Performance Computing (HiPC) ◽

10.1109/hipc.1996.565864 ◽

2002 ◽

Author(s):

V. Deshpande ◽

W. Sawyer

Keyword(s):

Mpi Implementation

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Issues in Developing a Thread-Safe MPI Implementation

Recent Advances in Parallel Virtual Machine and Message Passing Interface - Lecture Notes in Computer Science ◽

10.1007/11846802_11 ◽

2006 ◽

pp. 12-21 ◽

Cited By ~ 15

Author(s):

William Gropp ◽

Rajeev Thakur

Keyword(s):

Mpi Implementation

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Building and Using a Fault-Tolerant MPI Implementation

The International Journal of High Performance Computing Applications ◽

10.1177/1094342004046052 ◽

2004 ◽

Vol 18 (3) ◽

pp. 353-361 ◽

Cited By ~ 24

Author(s):

Graham E. Fagg ◽

Jack J. Dongarra

Keyword(s):

Fault Tolerant ◽

Mpi Implementation

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ULFM-MPI Implementation of a Resilient Task-Based Partial Differential Equations Preconditioner

Proceedings of the ACM Workshop on Fault-Tolerance for HPC at Extreme Scale - FTXS '16 ◽

10.1145/2909428.2909429 ◽

2016 ◽

Cited By ~ 2

Author(s):

Francesco Rizzi ◽

Karla Morris ◽

Khachik Sargsyan ◽

Paul Mycek ◽

Cosmin Safta ◽

...

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Mpi Implementation

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A note on the fast direct method for discrete elliptic problems

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam-2019-0027 ◽

2019 ◽

Vol 34 (6) ◽

pp. 317-326

Author(s):

Sergei A. Goreinov

Keyword(s):

Direct Method ◽

3D Structure ◽

Kronecker Products ◽

System Matrix ◽

Diffusion Term ◽

Multigrid Algorithm ◽

3D Data ◽

Order Of Magnitude ◽

Mpi Implementation ◽

Discretized Problem

Abstract We consider a method due to P. Vassilevski and Yu. A. Kuznetsov [4, 10] for solving linear systems with matrices of low Kronecker rank such that all factors in Kronecker products are banded. Most important examples of such matrices arise from discretized div K grad operator with diffusion term k1(x)k2(y)k3(z). Several practical issues are addressed: an MPI implementation with distribution of data along processor grid inheriting Cartesian 3D structure of discretized problem; implicit deflation of the known nullspace of the system matrix; links with two-grid framework of multigrid algorithm which allow one to remove the requirement of Kronecker structure in one or two of axes. Numerical experiments show the efficiency of 3D data distribution having the scalability analogous to (structured) HYPRE solvers yet the absolute timings being an order of magnitude lower, on the range from 10 to 104 cores.

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