Fully Adaptive Multigrid Methods

DOI10.1137/0730011zbMath0849.65090OpenAlexW2164998432MaRDI QIDQ4032018

Ulrich Rüde

Publication date: 4 May 1993

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0730011

zbMATH Keywords

convergencerobustnessadaptive mesh refinementfinite elementadaptivitymultilevel methodsstationary diffusion equationmultilevel techniquesfully adaptive methodsmultilevel cycling strategy

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (14)

Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems ⋮ An a posteriori-based adaptive preconditioner for controlling a local algebraic error norm ⋮ On the Recursive Structure of Multigrid Cycles ⋮ Adaptive multigrid strategy for geometry optimization of large-scale three dimensional molecular mechanics ⋮ Concept de zoom adaptatif en architecture multigrille locale ; étude comparative des méthodes L.D.C., F.A.C. et F.I.C. ⋮ Greedy and randomized versions of the multiplicative Schwarz method ⋮ Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems ⋮ Nonnested multigrid methods for linear problems ⋮ Acceleration of multigrid flow computations through dynamic adaptation of the smoothing procedure. ⋮ Error estimates and adaptive finite element methods ⋮ Sharp algebraic and total a posteriori error bounds for \(h\) and \(p\) finite elements via a multilevel approach. Recovering mass balance in any situation ⋮ An efficient adaptive multigrid algorithm for predicting thin film flow on surfaces containing localised topographic features ⋮ Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations ⋮ Interplay between discretization and algebraic computation in adaptive numerical solutionof elliptic PDE problems

Uses Software

• PLTMG

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