Suchergebnisse - nested multigrid algorithm
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V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes
ISSN: 0885-7474, 1573-7691Veröffentlicht: New York Springer US 01.01.2019Veröffentlicht in Journal of scientific computing (01.01.2019)“… In this paper we analyze the convergence properties of V -cycle multigrid algorithms for the numerical solution of the linear system of equations stemming from discontinuous Galerkin discretization …”
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Towards robust, fast solutions of elliptic equations on complex domains through hybrid high‐order discretizations and non‐nested multigrid methods
ISSN: 0029-5981, 1097-0207Veröffentlicht: Hoboken, USA John Wiley & Sons, Inc 30.11.2021Veröffentlicht in International journal for numerical methods in engineering (30.11.2021)“… To address this problem, we propose in this work a geometric multigrid algorithm for unstructured non‐nested meshes. The non …”
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Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations
ISSN: 0021-9991, 1090-2716Veröffentlicht: Cambridge Elsevier Inc 01.02.2021Veröffentlicht in Journal of computational physics (01.02.2021)“… Numerical climate- and weather-prediction models require the fast solution of the equations of fluid dynamics. Discontinuous Galerkin (DG) discretisations have …”
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The Multigrid Method for the Combined Hybrid Element of Linear Elasticity Problem
ISSN: 1024-123X, 1563-5147Veröffentlicht: New York Hindawi 21.06.2022Veröffentlicht in Mathematical problems in engineering (21.06.2022)“… In this paper, we develop a non-nested multigrid algorithm for combined hybrid quadrilateral or hexahedron elements of linear elasticity problem …”
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V-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 29.09.2017Veröffentlicht in arXiv.org (29.09.2017)“… In this paper we analyse the convergence properties of V-cycle multigrid algorithms for the numerical solution of the linear system of equations arising from discontinuous Galerkin discretization …”
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Hybridised multigrid preconditioners for a compatible finite‐element dynamical core
ISSN: 0035-9009, 1477-870XVeröffentlicht: Chichester, UK John Wiley & Sons, Ltd 01.07.2023Veröffentlicht in Quarterly journal of the Royal Meteorological Society (01.07.2023)“… , which has a similar structure to the pressure Schur complement in traditional approaches. We describe how the hybridised sparse system can be preconditioned with a non‐nested two …”
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Towards robust, fast solutions of elliptic equations on complex domains through HHO discretizations and non-nested multigrid methods
ISSN: 0029-5981, 1097-0207Veröffentlicht: Wiley 2021Veröffentlicht in International journal for numerical methods in engineering (2021)“… To address this problem, we propose in this work a geometric multigrid algorithm for unstructured non-nested meshes …”
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Full-FAS multigrid grid generation algorithms
ISSN: 0168-9274, 1873-5460Veröffentlicht: Elsevier B.V 2000Veröffentlicht in Applied numerical mathematics (2000)“… In this paper we present a Full-FAS multigrid algorithm for the generation of curvilinear coordinate systems on physical domains …”
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Nested multigrid vector and scalar potential finite element method for fast computation of two-dimensional electromagnetic scattering
ISSN: 0018-926X, 1558-2221Veröffentlicht: New York IEEE 01.12.2002Veröffentlicht in IEEE transactions on antennas and propagation (01.12.2002)“… The conjugate gradient method is used to solve the resultant finite-element matrix for the finest mesh, while the nested multigrid vector and scalar potential algorithm acts as the preconditioner …”
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Multigrid preconditioned conjugate-gradient solver for mixed finite-element method
ISSN: 1420-0597, 1573-1499Veröffentlicht: Dordrecht Springer Netherlands 01.03.2010Veröffentlicht in Computational geosciences (01.03.2010)“… difference scheme for solving second-order elliptic problems with variable coefficients. For the cell-centered finite difference scheme, a simple multigrid algorithm can be defined and used as a preconditioner …”
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Multigrid methods for isogeometric analysis with THB-splines
ISSN: 0045-7825, 1879-2138Veröffentlicht: Elsevier B.V 15.08.2016Veröffentlicht in Computer methods in applied mechanics and engineering (15.08.2016)“… We propose a geometric multigrid algorithm for the solution of the linear systems which arise when using hierarchical spline spaces for isogeometric discretizations of elliptic partial differential equations …”
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Investigation of the efficiency of the multigrid method for finite element electromagnetic field computations using nested meshes
ISSN: 0018-9464Veröffentlicht: New York, NY IEEE 01.09.1999Veröffentlicht in IEEE transactions on magnetics (01.09.1999)“… Investigation of the efficiency of the multigrid solution methods for electromagnetic field computations using nested finite element meshes is presented …”
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Agglomeration-based geometric multigrid schemes for the Virtual Element Method
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 27.02.2022Veröffentlicht in arXiv.org (27.02.2022)“… The sequence of agglomerated tessellations are nested, but the corresponding multilevel virtual discrete spaces are generally non-nested thus resulting into non-nested multigrid algorithms …”
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Phase unwrapping by accumulation of residual maps
ISSN: 0143-8166, 1873-0302Veröffentlicht: Elsevier Ltd 01.01.2015Veröffentlicht in Optics and lasers in engineering (01.01.2015)“… The sub-estimation degree is controlled by an algorithm׳s parameter. We present an efficiently computational multigrid implementation based on a nested strategy …”
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A Full Multigrid Method for Linear Complementarity Problems arising from Elastic Normal Contact Problems
ISSN: 1392-6292, 1648-3510Veröffentlicht: Taylor & Francis 15.03.2014Veröffentlicht in Mathematical modelling and analysis (15.03.2014)“… This paper presents a full multigrid (FMG) technique, which combines a multigrid method, an active set algorithm and a nested iteration technique, to solve a linear complementarity problem (LCP …”
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Nested multigrid vector and scalar potential finite element method for three-dimensional time-harmonic electromagnetic analysis
ISSN: 0048-6604, 1944-799XVeröffentlicht: Blackwell Publishing Ltd 01.06.2002Veröffentlicht in Radio science (01.06.2002)“… The iterative solution of the finite element matrix on the finest mesh is performed using the conjugate gradient method, while the nested multigrid vector and scalar potential algorithm acts …”
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Multigrid solver for the reference interaction site model of molecular liquids theory
ISSN: 0192-8651, 1096-987X, 1096-987XVeröffentlicht: Hoboken Wiley Subscription Services, Inc., A Wiley Company 15.07.2011Veröffentlicht in Journal of computational chemistry (15.07.2011)“… In this article, we propose a new multigrid‐based algorithm for solving integral equations of the reference interactions site model (RISM …”
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Matrix-free implementation of the non-nested multigrid method
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 14.12.2024Veröffentlicht in arXiv.org (14.12.2024)“… Traditionally, the geometric multigrid method is used with nested levels. However, the construction of a suitable hierarchy for very fine and unstructured grids is, in general, highly non-trivial …”
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Iterative Preconditioned Methods in Krylov Spaces: Trends of the 21st Century
ISSN: 0965-5425, 1555-6662Veröffentlicht: Moscow Pleiades Publishing 01.11.2021Veröffentlicht in Computational mathematics and mathematical physics (01.11.2021)“… A analytic review of major problems and new mathematical and technological discoveries in methods for solving SLAEs is given. This stage of mathematical …”
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Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver
ISSN: 0178-7675, 1432-0924Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013Veröffentlicht in Computational mechanics (01.12.2013)“… A Local/global non-intrusive coupling algorithm is proposed for the analysis of mixed-mode crack propagation …”
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