Search Results - nested multigrid algorithm

V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes by Antonietti, P. F., Pennesi, G.

“…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 by Di Pietro, Daniele A., Hülsemann, Frank, Matalon, Pierre, Mycek, Paul, Rüde, Ulrich, Ruiz, Daniel

“… 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 by Betteridge, Jack, Gibson, Thomas H., Graham, Ivan G., Müller, Eike H.

“…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 by Wang, Huiling, Nie, Yufeng

“… 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 by Antonietti, P F, Pennesi, G

“…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 by Betteridge, Jack D., Cotter, Colin J., Gibson, Thomas H., Griffith, Matthew J., Melvin, Thomas, Müller, Eike H.

“…, 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 by Di Pietro, Daniele Antonio, Hülsemann, Frank, Matalon, Pierre, Mycek, Paul, Rüde, Ulrich, Ruiz, Daniel

“… 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 by Spitaleri, R.M.

“… 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 by Yu Zhu, Cangellaris, A.C.

“… 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 by Wilson, John David, Naff, Richard L.

“… 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 by Hofreither, Clemens, Jüttler, Bert, Kiss, Gábor, Zulehner, Walter

“…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 by Cingoski, V., Tsubota, K., Yamashita, H.

“…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 by Antonietti, Paola Francesca, Berrone, Stefano, Busetto, Martina, Verani, Marco

“… 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 by Rivera, Mariano, Hernandez-Lopez, Francisco J., Gonzalez, Adonai

“… 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 by Zhao, Jing, Vollebregt, Edwin A.H., Oosterlee, Cornelis W.

“…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 by Zhu, Yu, Cangellaris, Andreas C.

“… 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 by Sergiievskyi, Volodymyr P., Hackbusch, Wolfgang, Fedorov, Maxim V.

“…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 by Feder, Marco, Heltai, Luca, Kronbichler, Martin, Munch, Peter

“…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 by Il’in, V. P.

“…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 by Passieux, Jean-Charles, Réthoré, Julien, Gravouil, Anthony, Baietto, Marie-Christine

“…A Local/global non-intrusive coupling algorithm is proposed for the analysis of mixed-mode crack propagation…”
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