Adaptive mesh movements -- the MMPDE approach and its applications
From MaRDI portal
Publication:5931482
DOI10.1016/S0377-0427(00)00520-3zbMath0971.65088WikidataQ128111547 ScholiaQ128111547MaRDI QIDQ5931482
Weizhang Huang, Robert D. Russell
Publication date: 24 April 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Related Items
A NUMERICAL FRAMEWORK FOR THE DAM BREAK PROBLEM FOR SHALLOW WATER EQUATIONS USING MOVING-GRID FINITE VOLUME METHOD, Monge-Ampére simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems, Curvature-based \(r\)-adaptive isogeometric analysis with injectivity-preserving multi-sided domain parameterization, Adaptive Solution to Two-Dimensional Partial Differential Equations in Curved Domains Using the Monge--Ampére Equation, Efficient \(r\)-adaptive isogeometric analysis with Winslow's mapping and monitor function approach, Application of variational mesh generation approach for selecting centers of radial basis functions collocation method, Time-accurate anisotropic mesh adaptation for three-dimensional time-dependent problems with body-fitted moving geometries, Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space, Dimension-splitting data points redistribution for meshless approximation, Convergence analysis of moving Godunov methods for dynamical boundary layers, An \(hr\)-adaptive method for the cubic nonlinear Schrödinger equation, Adaptive energy preserving methods for partial differential equations, Adaptivity with moving grids, Simulation of thin film flows with a moving mesh mixed finite element method
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An adaptive grid with directional control
- Adaptive grid generation from harmonic maps on Riemannian manifolds
- Simple adaptive grids for 1-D initial value problems
- Numerical method for solving the viscous gas equations on moving grids
- Adaptive zoning for singular problems in two dimensions
- An \(r\)-adaptive finite element method based upon moving mesh PDEs
- Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid
- New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations
- Moving mesh methods based on moving mesh partial differential equations
- A high dimensional moving mesh strategy
- Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
- Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence
- Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
- Stabilization of constraints and integrals of motion in dynamical systems
- The use of moving meshes in gas-dynamical computations
- Grading Functions and Mesh Redistribution
- Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
- Generalized Coordinate Forms of Governing Fluid Equations and Associated Geometrically Induced Errors
- Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems
- A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation
- A moving mesh method in multiblock domains with application to a combustion problem
- Self–similar numerical solutions of the porous–medium equation using moving mesh methods
- A Simple Adaptive Grid Method in Two Dimensions
- Error Equidistribution and Mesh Adaptation
- Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
- Analysis of Moving Mesh Partial Differential Equations with Spatial Smoothing
- Design and Application of a Gradient-Weighted Moving Finite Element Code II: in Two Dimensions
- Moving Mesh Methods for Problems with Blow-Up
- Analysis and computation of adaptive moving grids by deformation
- Comparison of two-dimensional \(r\)-adaptive finite element methods using various error indicators
- Scaling invariance and adaptivity
