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Matrix-Free Implementation of the Non-Nested Multigrid Method

https://doi.org/10.2139/ssrn.5142241
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Multigrid techniques for finite elements on locally refined meshes
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Comparison of multigrid algorithms for high‐order continuous finite element discretizations
inferredcites →https://doi.org/10.1002/nla.688openalex-snapshot
Improving algebraic multigrid interpolation operators for linear elasticity problems
inferredcites →https://doi.org/10.1002/nme.2579openalex-snapshot
Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities
inferredcites →https://doi.org/10.1002/nme.6336openalex-snapshot
A matrix‐free approach for finite‐strain hyperelastic problems using geometric multigrid
inferredcites →https://doi.org/10.1002/num.1013openalex-snapshot
Nonnested multigrid methods for linear problems
inferredcites →https://doi.org/10.1007/978-1-4757-4355-5openalex-snapshot
Theory and Practice of Finite Elements
inferredcites →https://doi.org/10.1007/978-3-642-11304-8_39openalex-snapshot
A Study of Prolongation Operators Between Non-nested Meshes
inferredcites →https://doi.org/10.1007/978-3-662-02427-0openalex-snapshot
Multi-Grid Methods and Applications
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Multigrid algorithms for $$\varvec{hp}$$ h p -version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
inferredcites →https://doi.org/10.1007/s10915-010-9396-8openalex-snapshot
Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in 3D
inferredcites →https://doi.org/10.1007/s10915-018-0783-xopenalex-snapshot
V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes
inferredcites →https://doi.org/10.1016/0021-9991(80)90005-4openalex-snapshot
Spectral methods for problems in complex geometries
inferredcites →https://doi.org/10.1016/0045-7825(94)90135-xopenalex-snapshot
A fictitious domain method for Dirichlet problem and applications
inferredcites →https://doi.org/10.1016/0096-3003(83)90023-1openalex-snapshot
Algebraic multigrid (AMG): experiences and comparisons
inferredcites →https://doi.org/10.1016/0167-8191(96)00024-5openalex-snapshot
A high-performance, portable implementation of the MPI message passing interface standard
inferredcites →https://doi.org/10.1016/j.camwa.2020.02.022openalex-snapshot
The deal.II finite element library: Design, features, and insights
inferredcites →https://doi.org/10.1016/j.cma.2021.113820openalex-snapshot
A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods
inferredcites →https://doi.org/10.1016/j.cma.2022.115034openalex-snapshot
Unlocking the secrets of locking: Finite element analysis in planar linear elasticity
inferredcites →https://doi.org/10.1016/j.compfluid.2012.04.012openalex-snapshot
A generic interface for parallel cell-based finite element operator application
inferredcites →https://doi.org/10.1016/j.compstruc.2004.04.015openalex-snapshot
Multilevel methods for discontinuous Galerkin FEM on locally refined meshes
inferredcites →https://doi.org/10.1016/j.jcp.2020.109538openalex-snapshot
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations
inferredcites →https://doi.org/10.1016/j.jcp.2023.112189openalex-snapshot
A parallel and adaptative Nitsche immersed boundary method to simulate viscous mixing
inferredcites →https://doi.org/10.1016/j.pnucene.2017.03.014openalex-snapshot
P-multigrid expansion of hybrid multilevel solvers for discontinuous Galerkin finite element discrete ordinate (DG-FEM-SN) diffusion synthetic acceleration (DSA) of radiation transport algorithms
inferredcites →https://doi.org/10.1016/s0377-0427(00)00517-3openalex-snapshot
Geometric multigrid with applications to computational fluid dynamics
inferredcites →https://doi.org/10.1017/s0962492902000077openalex-snapshot
The immersed boundary method
inferredcites →https://doi.org/10.1090/s0025-5718-1991-1052086-4openalex-snapshot
The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms
inferredcites →https://doi.org/10.1109/mcse.2006.116openalex-snapshot
Multigrid Methods on Adaptively Refined Grids
inferredcites →https://doi.org/10.1115/1.3167763openalex-snapshot
An Introduction to Continuum Mechanics
inferredcites →https://doi.org/10.1137/15m1008361openalex-snapshot
A Parallel Approach to the Variational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes
inferredcites →https://doi.org/10.1137/16m110455xopenalex-snapshot
A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers
inferredcites →https://doi.org/10.1137/21m1466864openalex-snapshot
Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method
inferredcites →https://doi.org/10.1137/s1064827595287997openalex-snapshot
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
inferredcites →https://doi.org/10.1145/3322813openalex-snapshot
Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors
inferredcites →https://doi.org/10.1145/3401990openalex-snapshot
Parallel Tree Algorithms for AMR and Non-Standard Data Access
inferredcites →https://doi.org/10.1145/3412558openalex-snapshot
ArborX
inferredcites →https://doi.org/10.1145/3425193openalex-snapshot
A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM
inferredcites →https://doi.org/10.1145/3468428openalex-snapshot
Propagating Geometry Information to Finite Element Computations
inferredcites →https://doi.org/10.1145/3580314openalex-snapshot
Efficient Distributed Matrix-free Multigrid Methods on Locally Refined Meshes for FEM Computations
inferredcites →https://doi.org/10.1515/jnma-2023-0089openalex-snapshot
The deal.II Library, Version 9.5
inferredcites →https://doi.org/10.48550/arxiv.2210.07604openalex-snapshot
High-Order Non-Conforming Discontinuous Galerkin Methods for the Acoustic Conservation Equations
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