Adaptive moving mesh methods
From MaRDI portal
Publication:604480
DOI10.1007/978-1-4419-7916-2zbMath1227.65090OpenAlexW118271839MaRDI QIDQ604480
Weizhang Huang, Robert D. Russell
Publication date: 11 November 2010
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4419-7916-2
finite elementsnumerical examplestextbookfinite differencesparabolic equationsmoving mesh methodsmoving gridsmesh generation and refinement
Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items (only showing first 100 items - show all)
A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes ⋮ Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations ⋮ A Study on Anisotropic Mesh Adaptation for Finite Element Approximation of Eigenvalue Problems with Anisotropic Diffusion Operators ⋮ B-Methods for the Numerical Solution of Evolution Problems with Blow-Up Solutions Part I: Variation of the Constant ⋮ A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations ⋮ Optimality criteria coupled adaptive mesh method for optimal shape design of Stokes flow ⋮ Conditioning of finite element equations with arbitrary anisotropic meshes ⋮ Domain-Dependent Stability Analysis of a Reaction–Diffusion Model on Compact Circular Geometries ⋮ An Adaptive Moving Mesh Method for the Five-Equation Model ⋮ A numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growth ⋮ Provably Robust Directional Vertex Relaxation for Geometric Mesh Optimization ⋮ A nonconventional stability approach for a nonlinear Crank-Nicolson method solving degenerate Kawarada problems ⋮ A stable time-dependent mesh method for generalized credit rating migration problem ⋮ \(r\)-adaptive deep learning method for solving partial differential equations ⋮ A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains ⋮ A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes ⋮ A posteriori error estimator for weak Galerkin finite element method for Stokes problem using diagonalization techniques ⋮ EXPERIMENTATION OF A FAMILY OF ITERATIVE FINITE VOLUME METHODS WITH MOVING GRID TO SOLVE A RICHARD’S PROBLEM ⋮ Moving-Mesh Finite-Volume Methods for Hyperbolic Interface Dynamics ⋮ Numerical homogenization by an adaptive Fourier spectral method on non-uniform grids using optimal transport ⋮ A moving mesh method for modelling defects in nematic liquid crystals ⋮ Domain Decomposition Approaches for PDE Based Mesh Generation ⋮ An Adaptive Moving Mesh Method for Forced Curve Shortening Flow ⋮ Computing Bayes-Nash Equilibria in Combinatorial Auctions with Verification ⋮ Spectrally Accurate Algorithm for Points Redistribution on Closed Curves ⋮ High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer ⋮ High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models ⋮ Современные методы математического моделирования развития гидродинамических неустойчивостей и турбулентного перемешивания ⋮ Towards Simulation-Driven Optimization of High-Order Meshes by the Target-Matrix Optimization Paradigm ⋮ Unnamed Item ⋮ On the mesh nonsingularity of the moving mesh PDE method ⋮ Optimal-Transport--Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements ⋮ Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations ⋮ Mesh Density Functions Based on Local Bandwidth Applied to Moving Mesh Methods ⋮ A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media ⋮ An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh ⋮ An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation ⋮ Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation ⋮ Improved upwind discretization of the advection equation ⋮ Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Method for Hyperbolic Equations Involving $\delta$-Singularities ⋮ On algorithms with good mesh properties for problems with moving boundaries based on the Harmonic Map Heat Flow and the DeTurck trick ⋮ Conditioning of the finite volume element method for diffusion problems with general simplicial meshes ⋮ A New Mesh Moving Technique for a Fluid–Structure Interaction Problem Using Mesh Deformation Energy Minimization ⋮ Symmetry-Preserving Finite Element Schemes: An Introductory Investigation ⋮ A higher order difference method for singularly perturbed parabolic partial differential equations ⋮ Invariant discretization of partial differential equations admitting infinite-dimensional symmetry groups ⋮ Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection–diffusion equations ⋮ Efficient Moving Mesh Methods for $Q$-Tensor Models of Nematic Liquid Crystals ⋮ Adaptive Grids for Non-monotone Waves and Instabilities in a Non-equilibrium PDE Model ⋮ Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system ⋮ Aging and linear response in the Hébraud–Lequeux model for amorphous rheology ⋮ Adaptive deformation of 3D unstructured meshes with curved body fitted boundaries with application to unsteady compressible flows ⋮ Asymptotic properties of the space-time adaptive numerical solution of a nonlinear heat equation ⋮ Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics ⋮ Using generating functions to convert an implicit \((3,3)\) finite difference method to an explicit form on diffusion equation with different boundary conditions ⋮ Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters ⋮ Polynomial preserving recovery on boundary ⋮ A moving mesh finite difference method for equilibrium radiation diffusion equations ⋮ A geometric discretization and a simple implementation for variational mesh generation and adaptation ⋮ Adaptive numerical simulation of traffic flow density ⋮ Arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for KdV type equations ⋮ Constructions of the soliton solutions to the good Boussinesq equation ⋮ \(r\)-adaptation for shallow water flows: conservation, well balancedness, efficiency ⋮ An adaptive finite volume method for 2D steady Euler equations with WENO reconstruction ⋮ Metric tensors for the interpolation error and its gradient in \(L^p\) norm ⋮ A moving finite element method for solving two-dimensional coupled Burgers' equations at high Reynolds numbers ⋮ Fast three dimensional r-adaptive mesh redistribution ⋮ Robust adaptive computation of a one-dimensional \(\mathbb Q\)-tensor model of nematic liquid crystals ⋮ Numerical solution of the Kohn-Sham equation by finite element methods with an adaptive mesh redistribution technique ⋮ Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene ⋮ Moving finite element methods for time fractional partial differential equations ⋮ A three-phase free boundary problem with melting ice and dissolving gas ⋮ Single-step arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations ⋮ A posteriori estimates of Taylor-Hood element for Stokes problem using auxiliary subspace techniques ⋮ An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh ⋮ Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter ⋮ An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension ⋮ Bandwidth-based mesh adaptation in multiple dimensions ⋮ A third-order moving mesh cell-centered scheme for one-dimensional elastic-plastic flows ⋮ Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers ⋮ An \(L^\infty\) stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes ⋮ Analysis of a moving collocation method for one-dimensional partial differential equations ⋮ A comparison of the string gradient weighted moving finite element method and a parabolic moving mesh partial differential equation method for solutions of partial differential equations ⋮ Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration ⋮ An adaptive moving mesh finite element solution of the regularized long wave equation ⋮ Quenching study of two-dimensional fractional reaction-diffusion equation from combustion process ⋮ Performance analysis of error-control B-spline Gaussian collocation software for PDEs ⋮ Moving mesh methods for pricing Asian options with regime switching ⋮ Adaptive moving mesh upwind scheme for the two-species chemotaxis model ⋮ Polynomial preserving recovery for high frequency wave propagation ⋮ Extremely low order time-fractional differential equation and application in combustion process ⋮ Curvature-based \(r\)-adaptive isogeometric analysis with injectivity-preserving multi-sided domain parameterization ⋮ A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws ⋮ Efficient \(r\)-adaptive isogeometric analysis with Winslow's mapping and monitor function approach ⋮ Monge-Ampère based moving mesh methods for numerical weather prediction, with applications to the Eady problem ⋮ A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws ⋮ A surface moving mesh method based on equidistribution and alignment ⋮ Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes ⋮ A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions ⋮ Anisotropic mesh adaptation for finite element solution of anisotropic porous medium equation
Uses Software
This page was built for publication: Adaptive moving mesh methods
