Search Results - Parallel Multigrid Method
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Optimization of communication-computation overlapping in parallel multigrid methods by process/thread allocation: Parallel multigrid method
ISSN: 0916-7005, 1868-937XPublished: Tokyo Springer Japan 01.09.2025Published in Japan journal of industrial and applied mathematics (01.09.2025)“… OpenMP’s dynamic loop scheduling. Previous work applied CC-Overlapping to the IC(0) smoother in the parallel Conjugate Gradient method preconditioned by Multigrid (MGCG), achieving a 40…”
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A parallel multigrid method of the Cahn–Hilliard equation
ISSN: 0927-0256, 1879-0801Published: Amsterdam Elsevier B.V 01.04.2013Published in Computational materials science (01.04.2013)“… The resulting discrete equations are solved using a parallel multigrid method. This parallel scheme facilitates the solution of large-scale problems…”
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Scalable implementation of the parallel multigrid method on massively parallel computers
ISSN: 0898-1221, 1873-7668Published: Elsevier Ltd 01.12.2015Published in Computers & mathematics with applications (1987) (01.12.2015)“…We consider a scalable implementation of multigrid methods for elliptic problems for fusion simulations on current and future high performance computer (HPC) architectures…”
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Parallel multigrid method for solving inverse problems
ISSN: 2215-0161, 2215-0161Published: Netherlands Elsevier B.V 01.01.2022Published in MethodsX (01.01.2022)“… A new parallel algorithm for the multigrid process has been developed. The proposed algorithm is based on a V-cycle mixed with the two-grid method…”
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Local and parallel multigrid method for semilinear elliptic equations
ISSN: 0168-9274, 1873-5460Published: Elsevier B.V 01.04.2021Published in Applied numerical mathematics (01.04.2021)“…This paper presents a new type of local and parallel multigrid method to solve semilinear elliptic equations…”
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Local and parallel multigrid method for semilinear Neumann problem with nonlinear boundary condition
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.05.2024Published in Numerical algorithms (01.05.2024)“…A novel local and parallel multigrid method is proposed in this study for solving the semilinear Neumann problem with nonlinear boundary condition…”
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Local and Parallel Multigrid Method for Nonlinear Eigenvalue Problems
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.01.2020Published in Journal of scientific computing (01.01.2020)“… As no nonlinear eigenvalue problem is being solved directly on the fine spaces, which is time-consuming, this new type of local and parallel multigrid method evidently improves the efficiency…”
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A parallel geometric multigrid method for adaptive topology optimization
ISSN: 1615-147X, 1615-1488Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2023Published in Structural and multidisciplinary optimization (01.10.2023)“…This work presents an efficient parallel geometric multigrid (GMG) implementation for preconditioning Krylov subspace methods solving differential equations using non-conforming meshes for discretization…”
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Journal Article -
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Optimization of communication-computation overlapping in parallel multigrid methods by process/thread allocation
ISSN: 0916-7005, 1868-937XPublished: Heidelberg Springer Nature B.V 01.09.2025Published in Japan journal of industrial and applied mathematics (01.09.2025)“… OpenMP’s dynamic loop scheduling. Previous work applied CC-Overlapping to the IC(0) smoother in the parallel Conjugate Gradient method preconditioned by Multigrid (MGCG), achieving a 40…”
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Journal Article -
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Investigation on an optimal aggregation level for a parallel meshless multigrid method based on domain decomposition method
ISSN: 0168-874XPublished: Elsevier B.V 01.09.2025Published in Finite elements in analysis and design (01.09.2025)“…We developed three parallel algorithms for a meshless geometric multigrid (GMG) method proposed for the finite element discretization of elliptic partial differential equation…”
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Optimization of serial and parallel communications for parallel geometric multigrid method
ISSN: 1521-9097Published: IEEE 01.12.2014Published in Proceedings - International Conference on Parallel and Distributed Systems (01.12.2014)“…The parallel multigrid method is expected to play an important role in large-scale scientific computing on post-peta/exa-scale supercomputer systems, and it also includes serial and parallel…”
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Conference Proceeding -
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Parallel multigrid method for solving elliptic equations
ISSN: 2070-0482, 2070-0490Published: Moscow Pleiades Publishing 01.07.2014Published in Mathematical models and computer simulations (01.07.2014)“…The proposed algorithm represents an efficient parallel implementation of the Fedorenko multigrid method and is intended for solving three-dimensional elliptic equations…”
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3D Parallel Multigrid Methods for Real-Time Fluid Simulation
ISSN: 2092-6731, 2092-6731Published: Seoul 3D Display Research Center 01.03.2018Published in 3D research (01.03.2018)“…The multigrid method is widely used in fluid simulation because of its strong convergence…”
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A Massively Parallel Multigrid Method for Finite Elements
ISSN: 1521-9615, 1558-366XPublished: New York IEEE 01.11.2006Published in Computing in science & engineering (01.11.2006)“…The hierarchical hybrid grid framework supports the parallel implementation of multigrid solvers for finite element problems…”
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A new parallel cascadic multigrid method
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 15.06.2013Published in Applied mathematics and computation (15.06.2013)“…In this paper, a new parallel cascadic multigrid method is studied with domain decomposition technique and extrapolation technique…”
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A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
ISSN: 1064-8275, 1095-7197Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2010Published in SIAM journal on scientific computing (01.01.2010)“…In this article, the authors present a parallel geometric multigrid algorithm for solving variable-coefficient elliptic partial differential equations on the unit box using highly nonuniform, octree…”
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Designing Resilient Parallel Multigrid Methods on Unstructured Adaptive Meshes
ISBN: 9798304954730Published: ProQuest Dissertations & Theses 01.01.2024“…In this thesis, we develop a class of fault-tolerant geometric multigrid method to address the loss of numerical data on faulty processors…”
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Dissertation -
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A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems
ISSN: 1432-9360, 1433-0369Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2016Published in Computing and visualization in science (01.02.2016)“…The parallel solution of constrained minimization problems requires special care to be taken with respect to the information transfer between the different subproblems…”
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Journal Article -
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Correction to: 3D Parallel Multigrid Methods for Real-Time Fluid Simulation
ISSN: 2092-6731, 2092-6731Published: Seoul 3D Display Research Center 01.06.2018Published in 3D research (01.06.2018)“…Unfortunately, the co-author’s given name has been published incorrectly in the original online publication. The correct given name should be: Suiyun…”
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Journal Article -
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Communication-Computation Overlapping for Parallel Multigrid Methods
Published: IEEE 27.05.2024Published in 2024 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW) (27.05.2024)“… In parallel finite element methods (FEM) and finite volume methods (FVM), halo communication and computation overlapping (CC-Overlapping…”
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Conference Proceeding

