Suchergebnisse - "Sparse direct solver"
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Fully parallel and pipelined sparse direct solver for large symmetric indefinite finite element problems
ISSN: 0898-1221Veröffentlicht: Elsevier Ltd 01.12.2024Veröffentlicht in Computers & mathematics with applications (1987) (01.12.2024)“… Sparse linear system solving is a primary computational cost in large-scale finite element analysis, and improving its performance is a key technological …”
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A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
ISSN: 1064-8275, 1095-7197Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2012Veröffentlicht in SIAM journal on scientific computing (01.01.2012)“… We present a fast direct solver for structured linear systems based on multilevel matrix compression. Using the recently developed interpolative decomposition …”
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Cached Gaussian elimination for simulating Stokes flow on domains with repetitive geometry
ISSN: 0021-9991, 1090-2716Veröffentlicht: Cambridge Elsevier Inc 15.12.2020Veröffentlicht in Journal of computational physics (15.12.2020)“… •Specialized efficient solver for fluids for microfluidics applications.•Solves Stokes equations with one million degrees of freedom in one second.•Special …”
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SlabLU: a two-level sparse direct solver for elliptic PDEs
ISSN: 1019-7168, 1572-9044Veröffentlicht: New York Springer US 01.08.2024Veröffentlicht in Advances in computational mathematics (01.08.2024)“… The paper describes a sparse direct solver for the linear systems that arise from the discretization of an elliptic PDE on a two-dimensional domain. The scheme …”
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Block low‐rank single precision coarse grid solvers for extreme scale multigrid methods
ISSN: 1070-5325, 1099-1506Veröffentlicht: Oxford Wiley Subscription Services, Inc 01.01.2022Veröffentlicht in Numerical linear algebra with applications (01.01.2022)“… Extreme scale simulation requires fast and scalable algorithms, such as multigrid methods. To achieve asymptotically optimal complexity, it is essential to …”
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swSuperLU: A highly scalable sparse direct solver on Sunway manycore architecture
ISSN: 0920-8542, 1573-0484Veröffentlicht: New York Springer US 01.06.2022Veröffentlicht in The Journal of supercomputing (01.06.2022)“… Sparse LU factorization is essential for scientific and engineering simulations. In this work, we present swSuperLU, a highly scalable sparse direct solver on …”
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Interconnected Hierarchical Structures for Fast Direct Elliptic Solution
ISSN: 0885-7474, 1573-7691Veröffentlicht: New York Springer US 01.04.2022Veröffentlicht in Journal of scientific computing (01.04.2022)“… We propose an interconnected hierarchical rank structure and use it to design a fast direct elliptic solver that can significantly reduce the amount of …”
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Sparse supernodal solver using block low-rank compression: Design, performance and analysis
ISSN: 1877-7503, 1877-7511Veröffentlicht: Elsevier B.V 01.07.2018Veröffentlicht in Journal of computational science (01.07.2018)“… •Introduction of block low-rank compression in PaStiX sparse supernodal solver.•Development of a Minimal Memory strategy reducing the memory footprint of the …”
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Auto-Gauging of Vector Potential by Parallel Sparse Direct Solvers-Numerical Observations
ISSN: 0018-9464, 1941-0069Veröffentlicht: New York IEEE 01.06.2019Veröffentlicht in IEEE transactions on magnetics (01.06.2019)“… When using magnetic vector potential (MVP)-based formulations for magnetostatic or eddy-current problems, either gauge conditions specifying the divergence of …”
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Parallel direct solver for solving systems of linear equations resulting from finite element method on multi-core desktops and workstations
ISSN: 0898-1221, 1873-7668Veröffentlicht: Elsevier Ltd 01.12.2015Veröffentlicht in Computers & mathematics with applications (1987) (01.12.2015)“… This paper presents the PARFES—parallel sparse direct solver for solving systems of linear equations resulting from the finite element method applied to …”
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High-performance finite-element simulations of seismic wave propagation in three-dimensional nonlinear inelastic geological media
ISSN: 0167-8191, 1872-7336Veröffentlicht: Elsevier B.V 01.06.2010Veröffentlicht in Parallel computing (01.06.2010)“… We present finite-element numerical simulations of seismic wave propagation in non linear inelastic geological media. We demonstrate the feasibility of …”
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Laplace-domain waveform modeling and inversion for the 3D acoustic–elastic coupled media
ISSN: 0926-9851, 1879-1859Veröffentlicht: Elsevier B.V 01.06.2016Veröffentlicht in Journal of applied geophysics (01.06.2016)“… Laplace-domain waveform inversion reconstructs long-wavelength subsurface models by using the zero-frequency component of damped seismic signals. Despite the …”
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On the improvement of a scalable sparse direct solver for unsymmetrical linear equations
ISSN: 0920-8542, 1573-0484Veröffentlicht: New York Springer US 01.05.2017Veröffentlicht in The Journal of supercomputing (01.05.2017)“… This paper focuses on the application level improvements in a sparse direct solver specifically used for large-scale unsymmetrical linear equations resulting …”
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A new parallel sparse direct solver: Presentation and numerical experiments in large-scale structural mechanics parallel computing
ISSN: 0029-5981, 1097-0207, 1097-0207Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 28.10.2011Veröffentlicht in International journal for numerical methods in engineering (28.10.2011)“… The main purpose of this work is to present a new parallel direct solver: Dissection solver. It is based on LU factorization of the sparse matrix of the linear …”
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A Runtime Approach to Dynamic Resource Allocation for Sparse Direct Solvers
ISSN: 0190-3918Veröffentlicht: IEEE 01.09.2014Veröffentlicht in Proceedings of the International Conference on Parallel Processing (01.09.2014)“… To face the advent of multicore processors and the ever increasing complexity of hardware architectures, programming models based on DAG-of-tasks parallelism …”
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Sparse Matrix Ordering Method with a Quantum Annealing Approach and its Parameter Tuning
Veröffentlicht: IEEE 01.12.2021Veröffentlicht in 2021 IEEE 14th International Symposium on Embedded Multicore/Many-core Systems-on-Chip (MCSoC) (01.12.2021)“… Quantum annealing realizes quantum computers specialized for combinatorial optimization problems (COPs). A COP is formulated as a Hamiltonian, and quantum …”
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Development of a Sparse Direct Solver for Antenna Array Analysis
Veröffentlicht: IEEE 09.08.2021Veröffentlicht in 2021 International Conference on Electromagnetics in Advanced Applications (ICEAA) (09.08.2021)“… Electromagnetic analysis of antenna arrays can be performed using the integral-equation based technique, the Method of Moments (MoM). However, the MoM is …”
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Developments in the Analysis of Large Antenna Arrays with Disjoint Elements
Veröffentlicht: EurAAP 22.03.2021Veröffentlicht in 2021 15th European Conference on Antennas and Propagation (EuCAP) (22.03.2021)“… Efficient electromagnetic analysis of very large antenna arrays is important for various applications, including e.g., radio astronomy. The method of moments …”
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A Communication-Avoiding 3D LU Factorization Algorithm for Sparse Matrices
ISSN: 1530-2075Veröffentlicht: IEEE 01.05.2018Veröffentlicht in 2018 IEEE International Parallel and Distributed Processing Symposium (IPDPS) (01.05.2018)“… We propose a new algorithm to improve the strong scalability of right-looking sparse LU factorization on distributed memory systems. Our 3D sparse LU algorithm …”
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A Sparse Direct Solver for Distributed Memory Xeon Phi-Accelerated Systems
ISSN: 1530-2075Veröffentlicht: IEEE 01.05.2015Veröffentlicht in Proceedings - IEEE International Parallel and Distributed Processing Symposium (01.05.2015)“… This paper presents the first sparse direct solver for distributed memory systems comprising hybrid multicourse CPU and Intel Xeon Pico-processors. It builds …”
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