An Algebraic Multigrid Method for an Adaptive Space–Time Finite Element Discretization

DOI10.1007/978-3-319-73441-5_6zbMath1483.65159OpenAlexW2781806938MaRDI QIDQ3297420

Huidong Yang, Olaf Steinbach

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-73441-5_6

zbMATH Keywords

algebraic multigridadaptive space-time finite element

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Cites Work

• Unnamed Item
• Arbitrary dimension convection-diffusion schemes for space-time discretizations
• Space-time finite element methods for parabolic problems
• Algebraic multigrid smoothing property of Kaczmarz's relaxation for general rectangular linear systems
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• Tetrahedral grid refinement
• Space-time isogeometric analysis of parabolic evolution problems
• Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems
• Space-time adaptive wavelet methods for parabolic evolution problems
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Wavelet-In-Time Multigrid-In-Space Preconditioning of Parabolic Evolution Equations
• A Greedy Strategy for Coarse-Grid Selection
• Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
• A Posteriori Error Estimation with Finite Element Semi- and Fully Discrete Methods for Nonlinear Parabolic Equations in One Space Dimension
• A Multigrid Tutorial, Second Edition
• Locally Adapted Tetrahedral Meshes Using Bisection
• A Convergent Adaptive Algorithm for Poisson’s Equation
• An improved error bound for reduced basis approximation of linear parabolic problems
• Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems
• Refinement of flexible space–time finite element meshes and discontinuous Galerkin methods