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  • 1
    Article
    Article
    Archive of Numerical Software
    Language: English
    Description: Dune, the Distributed and Unified Numerics Environment has been under continuous development for more than 13 years. Several European institutions participate in this development, and over time, a substantial user community has evolved. In order to establish and foster personal contacts within the community as well as between users and developers, a first Dune User Meeting was held in Stuttgart in 2010, followed by a second one that took place in 2013 in Aachen. In 2015, the third Dune User Meeting was held in Heidelberg from 28th to 29th of September. More than 30 users and developers from five European countries attended, presented Dune-related work and engaged in lively discussions. Ten presentations resulted in contributions to these proceedings....
    ISSN: 21978263
    Source: DataCite
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  • 2
    Language: English
    In: Science (New York, N.Y.), 27 May 2011, Vol.332(6033), pp.1059-61
    Description: The computational potential of a quantum processor can only be unleashed if errors during a quantum computation can be controlled and corrected for. Quantum error correction works if imperfections of quantum gate operations and measurements are below a certain threshold and corrections can be applied repeatedly. We implement multiple quantum error correction cycles for phase-flip errors on qubits encoded with trapped ions. Errors are corrected by a quantum-feedback algorithm using high-fidelity gate operations and a reset technique for the auxiliary qubits. Up to three consecutive correction cycles are realized, and the behavior of the algorithm for different noise environments is analyzed.
    Keywords: Error Analysis ; Quantum Theory;
    ISSN: 00368075
    E-ISSN: 1095-9203
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  • 3
    Language: English
    In: International Journal of Computational Science and Engineering, Nov 4, 2008, Vol.4(1), p.56
    Description: Byline: Markus Blatt, Peter Bastian The numerical solution of partial differential equations frequently requires solving large and sparse linear systems. When using the Finite Element Method these systems exhibit a natural block structure that is exploited for efficiency in the 'Iterative Solver Template Library' (ISTL). Based on existing sequential preconditioned iterative solvers we present an abstract parallelisation approach which clearly separates the parallelisation aspects from the data structures and solver algorithms by imposing an abstract consistency model onto the building blocks of the iterative solver components. This allows for supporting overlapping and non-overlapping domain decompositions as well as data parallel implementations of standard linear solvers.
    Keywords: Finite Element Method -- Usage ; Algorithms -- Usage ; Data Structures -- Methods ; Iteration (Mathematics) -- Methods ; Partial Differential Equations -- Evaluation
    ISSN: 1742-7185
    E-ISSN: 17427193
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  • 4
    Description: This paper describes a massively parallel algebraic multigrid method based on non-smoothed aggregation. It is especially suited for solving heterogeneous elliptic problems as it uses a greedy heuristic algorithm for the aggregation that detects changes in the coefficients and prevents aggregation across them. Using decoupled aggregation on each process with data agglomeration onto fewer processes on the coarse level, it weakly scales well in terms of both total time to solution and time per iteration to nearly 300,000 cores. Because of simple piecewise constant interpolation between the levels, its memory consumption is low and allows solving problems with more than 100,000,000,000 degrees of freedom. Comment: 22 pages, 1 figure
    Keywords: Mathematics - Numerical Analysis ; Computer Science - Distributed, Parallel, And Cluster Computing ; Computer Science - Mathematical Software ; Computer Science - Numerical Analysis ; 65f08, 65n08, 65n55, 65y05 ; F.2.1 ; G.1.3 ; G.1.8 ; G.4
    Source: Cornell University
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  • 5
    In: Numerical Linear Algebra with Applications, March 2012, Vol.19(2), pp.367-388
    Description: We present a new algebraic multigrid (AMG) algorithm for the solution of linear systems arising from discontinuous Galerkin (DG) discretizations of heterogeneous elliptic problems. The algorithm is based on the idea of subspace corrections, and the first coarse level space is the subspace spanned by continuous linear basis functions. The linear system associated with this space is constructed algebraically using a Galerkin approach with the natural embedding as the prolongation operator. This embedding operator needs to be provided, which means that the approach is not fully algebraic. For the construction of the linear systems on the subsequent coarser levels, non‐smoothed aggregation AMG techniques are used. In a series of numerical experiments, we establish for the first time the efficiency and robustness of an AMG method for various symmetric and non‐symmetric interior penalty DG methods (including the higher‐order cases) on problems with complicated, high contrast jumps in the coefficients. The solver is robust with respect to an increase in the polynomial degree of the DG approximation space (at least up to degree 6), computationally efficient, and affected only mildly by the coefficient jumps and by the mesh size (i.e., number of iterations = (log )). Copyright © 2012 John Wiley & Sons, Ltd.
    Keywords: Interior Penalty Discontinuous Galerkin Methods ; Elliptic Pdes ; Robustness For Heterogeneous Coefficients ; Subspace Correction ; Aggregation‐Type Algebraic Multigrid
    ISSN: 1070-5325
    E-ISSN: 1099-1506
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  • 6
    Book
    Book
    Language: German
    Keywords: Innovationspotenzial ; Kreativität ; Innovation ; Kreativitätstraining ; Denken ; Organisationsentwicklung ; Design Thinking ; Innovationsmanagement ; Innovationsmanagement ; Organisatorischer Wandel ; Produktentwicklung ; Designer ; Geschäftsmodell ; Erfolgsfaktor ; Deutschland
    ISBN: 9783800653195
    Source: Deutsche Zentralbibliothek für Wirtschaftswissenschaften
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  • 7
    Language: English
    In: International Journal of Parallel, Emergent and Distributed Systems, 01 December 2009, Vol.24(6), pp.467-477
    Description: Large-scale parallel codes require the data to be decomposed between the set of processes active in the computation. This data decomposition implies recurring communication schemes. The paper introduces generic template classes in C++ for describing the data decomposition....
    Keywords: Domain Decomposition Methods ; Data Parallel Programming ; Object-Oriented Programming ; Generic Programming ; Finite Element Methods ; Iterative Solvers ; Computer Science
    ISSN: 1744-5760
    E-ISSN: 1744-5779
    Source: Taylor & Francis (Taylor & Francis Group)
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  • 8
    Language: German
    Description: Cover -- Zum Inhalt / Zu den Herausgebern -- Titel -- Vorwort zur 2. Auflage -- Inhaltsverzeichnis -- Einleitung: Wo ist das Problem? -- Teil 1: Mit Design Thinking erst zum Problem und dann zur Lösung -- 1.1 Was ist Design Thinking -- 1.2 Wie wird Design...
    Keywords: Design Thinking ; Innovationsmanagement ; Innovationspotenzial ; Kreativität ; Innovation ; Kreativitätstraining ; Denken ; Organisationsentwicklung ; Innovationsmanagement ; Organisatorischer Wandel ; Produktentwicklung ; Designer ; Geschäftsmodell ; Erfolgsfaktor ; Deutschland ; Aufsatzsammlung
    ISBN: 3800653184
    ISBN: 9783800653188
    Source: Deutsche Zentralbibliothek für Wirtschaftswissenschaften
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  • 9
    Language: English
    In: Int. J. of Computational Science and Engineering, 2008, Vol 4 Issue 1, pp 56 - 69
    Description: The numerical solution of partial differential equations frequently requires solving large and sparse linear systems. When using the Finite Element Method these systems exhibit a natural block structure that is exploited for efficiency in the 'Iterative Solver Template Library' (ISTL). Based on existing sequential preconditioned iterative solvers we present an abstract parallelisation approach which clearly separates the parallelisation aspects from the data structures and solver algorithms by imposing an abstract consistency model onto the building blocks of the iterative solver components. This allows for supporting overlapping and non-overlapping domain decompositions as well as data parallel implementations of standard linear solvers.
    Keywords: iterative methods; domain decomposition; C+ + generic programming; parallel computing; generic parallelisation; finite element method; FEM; partial differential equations.
    ISSN: 1742-–718
    ISSN: 1742–7185
    ISSN: 1742-–719
    ISSN: 1742–7193
    E-ISSN: 1742–7193
    Source: Inderscience Journals
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  • 10
    Description: TypeTree 2.3 This release only contains minor changes to fix buildsystem issues and fix a number of bugs. Full support for CMake (thanks to Christoph and Markus!). Fixes to Autotools tests. Resolved some compilation problems on older compilers. Release history TypeTree 2.3.1 Release without further changes TypeTree 2.3.1-rc1 Small fixes to included headers and documentation TypeTree 2.3.0 Skipped because version 2.3.1 of the core modules was released in the meantime and it was considered better to keep the version numbers in sync TypeTree 2.3.0-rc1 Initial release candidate ...
    Source: DataCite
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