Anderson acceleration for nonlinear PDEs discretized by space-time spectral methods
type: Item
instance of: scholarly article
title: Anderson acceleration for nonlinear PDEs discretized by space-time spectral methods
author: Sarah Nataj
author: Yunhui He
publication date: 2024-06-11T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 35-XX
zbMATH DE Number: 7863391
zbMATH Keywords: nonlinear time dependent PDE
zbMATH Keywords: space-time spectral method
zbMATH Keywords: Navier Stokes equations
zbMATH Keywords: fixed-point method
zbMATH Keywords: Anderson acceleration
MaRDI profile type: Publication
cites work: Chebyshev and Fourier spectral methods.
cites work: Spectral Methods
cites work: Spectral Methods in Time for Hyperbolic Equations
cites work: Spectral Methods in Time for Parabolic Problems
cites work: Spectral collocation in space and time for linear PDEs
cites work: A space-time adaptive method for reservoir flows: formulation and one-dimensional application
cites work: Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.
cites work: A Parallel Space-Time Algorithm
cites work: Legendre spectral collocation in space and time for PDEs
cites work: Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains
cites work: Efficient space-time Jacobi rational spectral methods for second order time-dependent problems on unbounded domains
cites work: 2D continuous Chebyshev-Galerkin time-spectral method
cites work: Iterative Procedures for Nonlinear Integral Equations
cites work: Anderson Acceleration for a Class of Nonsmooth Fixed-Point Problems
cites work: Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier--Stokes Equations
cites work: Acceleration of nonlinear solvers for natural convection problems
cites work: On the asymptotic linear convergence speed of Anderson acceleration applied to ADMM
cites work: On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration
cites work: Anderson Acceleration for Fixed-Point Iterations
cites work: A characterization of the behavior of the Anderson acceleration on linear problems
cites work: Convergence Analysis for Anderson Acceleration
cites work: A Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically)
cites work: The effect of Anderson acceleration on superlinear and sublinear convergence
cites work: Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations
cites work: Globally Convergent Type-I Anderson Acceleration for Nonsmooth Fixed-Point Iterations
cites work: Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis
cites work: Superlinear convergence of Anderson accelerated Newton's method for solving stationary <scp>Navier–Stokes</scp> equations
cites work: Mathematical problems from combustion theory
cites work: Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]
cites work: Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
cites work: Q3684480
cites work: Q4039908
cites work: Numerical Analysis of Partial Differential Equations
cites work: Hopf bifurcation of the unsteady regularized driven cavity flow
cites work: Chebyshev spectral collocation in space and time for the heat equation
cites work: Two classes of multisecant methods for nonlinear acceleration
cites work: Solving Nonlinear Equations with Iterative Methods: Solvers and Examples in Julia
cites work: Anderson Accelerated Douglas--Rachford Splitting
published in: Computers & Mathematics with Applications
DOI: 10.1016/J.CAMWA.2024.05.006
description: scientific article; zbMATH DE number 7863391