DOI10.1006/jcph.1994.1135zbMath0807.65101OpenAlexW1966771317MaRDI QIDQ1335645
Weizhang Huang, Robert D. Russell, Yu He Ren
Publication date: 17 October 1994
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/77448e8328dbe74acdd3dcd4ff8932befd64ea96
A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates. I: One-dimensional case,
An adaptive moving mesh method with static rezoning for partial differential equations,
Travelling waves for adaptive grid discretizations of reaction diffusion systems. I: Well-posedness,
Moving mesh methods with locally varying time steps,
A moving mesh finite difference method for equilibrium radiation diffusion equations,
A geometric discretization and a simple implementation for variational mesh generation and adaptation,
On the numerical solution of Fisher's equation with coefficient of diffusion term much smaller than coefficient of reaction term,
On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases,
A metric tensor approach to data assimilation with adaptive moving meshes,
Spectral implementation of an adaptive moving mesh method for phase-field equations,
A robust moving mesh method for spectral collocation solutions of time-dependent partial differential equations,
Robust adaptive computation of a one-dimensional \(\mathbb Q\)-tensor model of nematic liquid crystals,
A comparison of some adaptive space mesh solvers for the numerical solution of parabolic partial differential equations,
An adaptive mesh method with variable relaxation time,
A finite difference real ghost fluid method on moving meshes with corner-transport upwind interpolation,
A moving collocation method for solving time dependent partial differential equations,
A robust spline difference method for Robin-type reaction-diffusion problem using grid equidistribution,
Numerical integration of a Cauchy problem whose solution has integer-order poles on the real axis,
Adaptive methods for semi-linear elliptic equations with critical exponents and interior singularities,
A high dimensional moving mesh strategy,
An invariant moving mesh scheme for the nonlinear diffusion equation,
Adaptive LOOCV-based kernel methods for solving time-dependent BVPs,
Robust, multidimensional mesh-motion based on Monge-Kantorovich equidistribution,
A conservative phase-space moving-grid strategy for a 1D-2V Vlasov-Fokker-Planck solver,
Unnamed Item,
An adaptive moving mesh finite difference scheme for tokamak magneto-hydrodynamic simulations,
An Eulerian Vlasov-Fokker-Planck algorithm for spherical implosion simulations of inertial confinement fusion capsules,
An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension,
A third-order moving mesh cell-centered scheme for one-dimensional elastic-plastic flows,
An \(L^\infty\) stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes,
Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models,
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,
A study of moving mesh methods applied to a thin flame propagating in a detonator delay element,
Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK.,
A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws,
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,
Conservative multiquadric quasi-interpolation method for Hamiltonian wave equations,
Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes,
Moving mesh method for problems with blow-up on unbounded domains,
Recent Advances in Schwarz Waveform Moving Mesh Methods – A New Moving Subdomain Method,
Adaptive residual subsampling methods for radial basis function interpolation and collocation problems,
Unnamed Item,
Level-set-based deformation methods for adaptive grids,
An adaptive ghost fluid finite volume method for compressible gas-water simulations,
On the mesh nonsingularity of the moving mesh PDE method,
Stability of Newton TVD Runge-Kutta scheme for one-dimensional Euler equations with adaptive mesh,
Moving mesh method with local time step refinement for blow-up problems,
Solution of evolutionary partial differential equations using adaptive finite differences with pseudospectral post-processing,
Moving mesh methods with upwinding schemes for time-dependent PDEs,
A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media,
An adaptive moving mesh method for thin film flow equations with surface tension,
An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation,
A moving mesh method with variable mesh relaxation time,
Adaptive mesh movements -- the MMPDE approach and its applications,
The geometric integration of scale-invariant ordinary and partial differential equations,
Chebyshev finite spectral method with extended moving grids,
Optimal mass transport for higher dimensional adaptive grid generation,
Moving mesh finite difference solution of non-equilibrium radiation diffusion equations,
On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution,
Precise computations of chemotactic collapse using moving mesh methods,
A moving mesh method for singularly perturbed problems,
Dynamical knot and shape parameter setting for simulating shock wave by using multi-quadric quasi-interpolation,
An efficient dynamically adaptive mesh for potentially singular solutions,
Practical aspects of formulation and solution of moving mesh partial differential equations,
A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources,
An \(hr\)-adaptive method for the cubic nonlinear Schrödinger equation,
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography,
Adaptive finite-volume WENO schemes on dynamically redistributed grids for compressible Euler equations,
A computational method for the coupled solution of reaction-diffusion equations on evolving domains and manifolds: application to a model of cell migration and chemotaxis,
On balanced moving mesh methods,
A grid redistribution method for singular problems,
An efficient moving mesh spectral method for the phase-field model of two-phase flows,
Capturing material interfaces,
Consistent Dirichlet boundary conditions for numerical solution of moving boundary problems,
Exponential splitting time integration for pseudospectral methods on moving meshes,
Heat conduction simulation of 2D moving heat source problems using a moving mesh method,
A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. II: ALE framework,
Adaptive moving knots meshless method for Degasperis-Procesi equation with conservation laws,
Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study,
An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations,
Implementation of arbitrary inner product in the global Galerkin method for incompressible Navier-Stokes equations,
Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation,
New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations,
Focusing blow-up for quasilinear parabolic equations,
Numerical investigation of heat conduction with multiple moving heat sources,
Moving collocation method for a reaction-diffusion equation with a traveling heat source,
Hermite collocation solution of near-singular problems using numerical coordinate transformations based on adaptivity