Is There More Than One Dirichlet--Neumann Algorithm for the Biharmonic Problem?
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Publication:4997386
DOI10.1137/19M1297956zbMath1477.65259OpenAlexW3165815463MaRDI QIDQ4997386
Yongxiang Liu, Martin J. Gander
Publication date: 29 June 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1297956
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Cites Work
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- Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems
- Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the biharmonic equation
- A Robin-Robin preconditioner for advection-diffusion equations with discontinuous coefficients
- A multilevel algorithm for the biharmonic problem
- Schwarz methods over the course of time
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- A two-level additive Schwarz preconditioner for nonconforming plate elements
- The two-level FETI method for static and dynamic plate problems I: An optimal iterative solver for biharmonic systems
- Optimized Schwarz methods for a diffusion problem with discontinuous coefficient
- Homogeneous and heterogeneous domain decomposition methods for plate bending problems
- A meshless method for Kirchhoff plate bending problems
- Multitrace Formulations and Dirichlet-Neumann Algorithms
- Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation for the Wave Equation
- Chladni Figures and the Tacoma Bridge: Motivating PDE Eigenvalue Problems via Vibrating Plates
- An additive average Schwarz method for the plate bending problem
- An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation
- A Scalable Substructuring Method by Lagrange Multipliers for Plate Bending Problems
- Multilevel Schwarz Methods for the Biharmonic Dirichlet Problem
- A Robin-Robin preconditioner for an advection-diffusion problem
- A Neumann--Neumann Domain Decomposition Algorithm for Solving Plate and Shell Problems
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
- Two-Level Schwarz Methods for the Biharmonic Problem Discretized Conforming $C^1 $ Elements
- From Euler, Ritz, and Galerkin to Modern Computing
- Convergence of a balancing domain decomposition by constraints and energy minimization
- Optimized Schwarz Methods
- Iterative Solution Methods for Plate Bending Problems: Multigrid and Preconditioned<scp>cg</scp>algorithm
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