An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization
type: Item
instance of: scholarly article
title: An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization
zbMATH Open document ID: 1155.65394
author: B. E. Eshmatov
published in: Journal of Computational Physics
publication date: 2008-11-25T00:00:00Z
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 5372807
zbMATH Keywords: adaptive grid generation
zbMATH Keywords: Monge-Ampère equation
zbMATH Keywords: Monge-Kantorovich optimization
zbMATH Keywords: grid tangling
zbMATH Keywords: equidistribution
zbMATH Keywords: Newton-Krylov
zbMATH Keywords: multigrid preconditioning
zbMATH Keywords: moving meshes
describes a project that uses: KELLEY
MaRDI profile type: Publication
full work available at URL: j.jcp.2008.07.020
OpenAlex ID: W1964753390
cites work: A survey of dynamically-adaptive grids in the numerical solution of partial differential equations
cites work: Adaptive grid generation
cites work: Equidistribution schemes, Poisson generators, and adaptive grids
cites work: Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
cites work: Least squares and approximate equidistribution in multidimensions
cites work: Variational grid adaptation based on the minimization of local truncation error: Time-inde\-pend\-ent problems.
cites work: Q3732914
cites work: Q4950391
cites work: Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
cites work: Adaptive zoning for singular problems in two dimensions
cites work: Adaptive grid generation from harmonic maps on Riemannian manifolds
cites work: An adaptive grid with directional control
cites work: An \(r\)-adaptive finite element method based upon moving mesh PDEs
cites work: A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation
cites work: Harmonic maps of manifolds with boundary
cites work: On univalent harmonic maps between surfaces
cites work: Variational mesh adaptation: Isotropy and equidistribution
cites work: Application of a variational method for generating adaptive grids
cites work: A fully implicit, nonlinear adaptive grid strategy
cites work: Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
cites work: Jacobian-Weighted Elliptic Grid Generation
cites work: Q4260162
cites work: A Simple Adaptive Grid Method in Two Dimensions
cites work: Solution adaptive direct variational grids for fluid flow calculations
cites work: Numerical construction of optimal adaptive grids in two spatial dimensions
cites work: Structured adaptive grid generation
cites work: A new approach to grid generation
cites work: On the Volume Elements on a Manifold
cites work: On a partial differential equation involving the Jacobian determinant
cites work: Q5838558
cites work: Differential equations methods for the Monge-Kantorovich mass transfer problem
cites work: The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
cites work: Parabolic Monge–Ampère methods for blow-up problems in several spatial dimensions
cites work: Generalized Monge–Kantorovich Optimization for Grid Generation and Adaptation in $L_{p}$
cites work: Moving mesh methods with upwinding schemes for time-dependent PDEs
cites work: Polar factorization and monotone rearrangement of vector‐valued functions
cites work: Q4841246
cites work: Inexact Newton Methods
cites work: A 2D high-\(\beta\) hall MHD implicit nonlinear solver.
cites work: A Multigrid Preconditioned Newton--Krylov Method
cites work: A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion
cites work: On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations
cites work: A multigrid-preconditioned Newton--Krylov method for the incompressible Navier--Stokes equations
cites work: An implicit energy-conservative 2D Fokker-Planck algorithm. II: Jacobian-free Newton-Krylov solver
cites work: An implicit, nonlinear reduced resistive MHD solver
cites work: Q3809173
cites work: A multilevel iterative field solver for implicit, kinetic, plasma simulation
cites work: FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
cites work: FLIP MHD: A particle-in-cell method for magnetohydrodynamics
cites work: A numerical method for suspension flow
cites work: Q4666913
cites work: Formes-volume sur les variétés à bord
cites work: \(r\)-adaptive mesh generation for shell finite element analysis
cites work: An Adaptive Grid Method and Its Application to Steady Euler Flow Calculations
cites work: A moving grid finite‐element method using grid deformation
cites work: Analysis and computation of adaptive moving grids by deformation
DOI: 10.1016/J.JCP.2008.07.020
description: scientific article; zbMATH DE number 5372807