Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Convergence of consistent and inconsistent finite difference schemes and an acceleration technique
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Computational solution of two-dimensional unsteady PDEs using moving mesh methods
Journal of Computational Physics
Convergence of finite difference methods for convection-diffusion problems with singular solutions
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
Moving mesh finite element methods based on harmonic maps
Scientific computing and applications
Applied Numerical Mathematics
Approaches for generating moving adaptive meshes: location versus velocity
Applied Numerical Mathematics - Special issue: 2nd international workshop on numerical linear algebra, numerical methods for partial differential equations and optimization
Focus on computational neurobiology
Moving mesh methods with locally varying time steps
Journal of Computational Physics
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
Journal of Scientific Computing
A splitting moving mesh method for reaction-diffusion equations of quenching type
Journal of Computational Physics
Journal of Computational Physics
Spectral implementation of an adaptive moving mesh method for phase-field equations
Journal of Computational Physics
An efficient adaptive mesh redistribution method for a non-linear Dirac equation
Journal of Computational Physics
Solving regularly and singularly perturbed reaction-diffusion equations in three space dimensions
Journal of Computational Physics
Journal of Computational Physics
An efficient moving mesh spectral method for the phase-field model of two-phase flows
Journal of Computational Physics
A three dimensional adaptive nodes technique applied to meshless-type methods
Applied Numerical Mathematics
Rezoning techniques for arbitrary Lagrangian-Eulerian computations
CONTROL'08 Proceedings of the 4th WSEAS/IASME international conference on Dynamical systems and control
An adaptive GRP scheme for compressible fluid flows
Journal of Computational Physics
Numerical analysis and implementational aspects of a new multilevel grid deformation method
Applied Numerical Mathematics
Dimension-splitting data points redistribution for meshless approximation
Journal of Computational and Applied Mathematics
The adaptive GRP scheme for compressible fluid flows over unstructured meshes
Journal of Computational Physics
Hi-index | 0.06 |
In this paper we study the problem of two-dimensional adaptive mesh generation using a variational approach and, specifically, the effect that the monitor function has on the resulting mesh behavior. The basic theoretical tools employed are Green's function for elliptic problems and the eigendecomposition of symmetric positive definite matrices. Based upon this study, a general strategy is suggested for how to choose the monitor function, and numerical results are presented for illustrative purposes. The three-dimensional case is also briefly discussed. It is noted that the strategy used here can be applied to other elliptic mesh generation techniques as well.