A Multilevel Nonlinear Method

DOI10.1137/040613809zbMath1109.65109OpenAlexW2085522030MaRDI QIDQ5470411

Gregory Dardyk, Irad Yavneh

Publication date: 30 May 2006

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a4bce078eadae2de5d39c240cfafd2826c945d0a

zbMATH Keywords

numerical examplesmultigridmultilevel nonlinear method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary value problems for nonlinear higher-order PDEs (35G30) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems ⋮ Choice of an initial guess for Newton's method to solve nonlinear differential equations ⋮ A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture ⋮ Multigrid Reduction in Time for Chaotic Dynamical Systems ⋮ Convergence analysis of the Fast Subspace Descent method for convex optimization problems ⋮ Multigrid methods for a mixed finite element method of the Darcy-Forchheimer model ⋮ BCR-net: A neural network based on the nonstandard wavelet form ⋮ Adaptive FAS‐multigrid method for nonlinear elliptic equations on unstructured grids ⋮ Textbook-efficiency multigrid solver for three-dimensional unsteady compressible Navier-Stokes equations

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