Numerical grid generation: foundations and applications

A fast adaptive grid scheme for elliptic partial differential equations

ACM Transactions on Mathematical Software (TOMS)

On Three-Dimensional Surface Reconstruction Methods

IEEE Transactions on Pattern Analysis and Machine Intelligence

A vectorized 3-D finite element model for transient simulation of two-phase heat transport with phase transformation and a moving interface

Proceedings of the 1990 ACM/IEEE conference on Supercomputing

Multiparameter continuation methods for tracking desired flow states

Proceedings of the 1992 ACM/IEEE conference on Supercomputing

Triangulations in CAGD

IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design

“Modeling Primitives”: an object oriented formulation of boundary value problems in a solid geometric modeling context

SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications

Free-form shape design using triangulated surfaces

SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques

Dynamic view-dependent partitioning for structured grids with complex boundaries for object-order rendering techniques

PVGS '99 Proceedings of the 1999 IEEE symposium on Parallel visualization and graphics

A comparison of grid generation techniques

ACM '86 Proceedings of 1986 ACM Fall joint computer conference

An explicit fourth-order orthogonal curvilinear staggered-grid FDTD method for Maxwell's equations

Journal of Computational Physics

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

Towards computations of ocean flows using Navier-Stokes equations

Proceedings of the 1994 ACM/IEEE conference on Supercomputing

Constructing Intrinsic Parameters with Active Models for Invariant Surface Reconstruction

IEEE Transactions on Pattern Analysis and Machine Intelligence

On accuracy of adaptive grid methods for captured shocks

Journal of Computational Physics

Optimal Möbius Transformations for Information Visualization and Meshing

WADS '01 Proceedings of the 7th International Workshop on Algorithms and Data Structures

Developments in Cartesian cut cell methods

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

Moving mesh finite element methods based on harmonic maps

Scientific computing and applications

A study of the effects of grid non-orthogonality on the solution of shallow water equations in boundary-fitted coordinate systems

Journal of Computational Physics

A least square extrapolation method for improving solution accuracy of PDE computations

Journal of Computational Physics

Shape identification for natural convection problems using the adjoint variable method

Journal of Computational Physics

Variational mesh adaptation II: error estimates and monitor functions

Journal of Computational Physics

SMESH3D: An Interactive Structured Mesh Generation System

HPC-ASIA '97 Proceedings of the High-Performance Computing on the Information Superhighway, HPC-Asia '97

A computational model for organism growth based on surface mesh generation

Journal of Computational Physics

On 2D quasi-isometric regular grids that are orthogonal far from corners

Applied Numerical Mathematics - Special issue: Applied numerical computing: Grid generation and solution methods for advanced simulations

References

Sourcebook of parallel computing

Generation of block-structured grids in complex computational domains using templates

Finite Elements in Analysis and Design

On analogy and dissimilarity of dependence of stability on several parameters in flow simulations

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 6th Japan--China joint seminar on numerical mathematics, university of Tsukuba, Japan, 5-9 August 2002

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

Application of Multiblock Grid and Dual-Level Parallelism in Coastal Ocean Circulation Modeling

Journal of Scientific Computing

A quasi-elliptic transformation for moving boundary problems with large anisotropic deformations

Journal of Computational Physics

A finite element method for unstructured grid smoothing

Journal of Computational Physics

Numerical analysis and the scientific method

IBM Journal of Research and Development - Mathematics and computing

Convergence analysis of adaptive finite difference methods using stretching functions for boundary value problems with singular solutions

Focus on computational neurobiology

Novel multi-block strategy for CAD tools for microfluidics type applications

Advances in Engineering Software

Fully dispersive nonlinear water wave model in curvilinear coordinates

Journal of Computational Physics

A three-dimensional adaptive method based on the iterative grid redistribution

Journal of Computational Physics

Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes

Journal of Scientific Computing

Geometry and mesh generation for high fidelity computational simulations using non-uniform rational B-splines

Applied Numerical Mathematics - Applied scientific computing: Recent approaches to grid generation, approximation and numerical modelling

A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics

Journal of Computational Physics

Finite-difference method for incompressible Navier-Stokes equations in arbitrary orthogonal curvilinear coordinates

Journal of Computational Physics

2D Nearly orthogonal mesh generation with controls on distortion function

Journal of Computational Physics

A variational hexahedral grid generator with control metric

Journal of Computational Physics

Fourth-Order Semi-Compact Scheme for Flow Past a Rotating and Translating Cylinder

Journal of Scientific Computing

Parallel Computation and Numerical Visualization for Non-Uniform Particles Included in Gas and Liquid Flows

Journal of Visualization

Quality metrics for geologic grid structures

Proceedings of the 2007 ACM symposium on Solid and physical modeling

Resolving the shock-induced combustion by an adaptive mesh redistribution method

Journal of Computational Physics

Boundary and interior layers in turbulent thermal convection in cylindrical containers

International Journal of Computing Science and Mathematics

Efficient nonlinear solvers for Laplace-Beltrami smoothing of three-dimensional unstructured grids

Computers & Mathematics with Applications

Riemmanian metric of harmonic parametrization of geodesic quadrangles and quasi-isometric grids

Mathematics and Computers in Simulation

Boundary treatment for 2D elliptic mesh generation in complex geometries

Journal of Computational Physics

An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization

Journal of Computational Physics

Stream function-potential function coordinates for aeroacoustics and unsteady aerodynamics

International Journal of Computational Fluid Dynamics

Rezoning techniques for arbitrary Lagrangian-Eulerian computations

CONTROL'08 Proceedings of the 4th WSEAS/IASME international conference on Dynamical systems and control

Adaptive finite element mesh triangulation using self-organizing neural networks

Advances in Engineering Software

Recent developments in the von Mises transformation and its applications in the computational sciences

MAMECTIS'09 Proceedings of the 11th WSEAS international conference on Mathematical methods, computational techniques and intelligent systems

The local redistribution of points along curves for numerical grid generation

Applied Numerical Mathematics

Geometry and mesh generation for high fidelity computational simulations using non-uniform rational B-splines

Applied Numerical Mathematics - Applied scientific computing: Recent approaches to grid generation, approximation and numerical modelling

Hybrid mesh smoothing based on Riemannian metric non-conformity minimization

Finite Elements in Analysis and Design

Flow simulation in industrial cyclone separator

Advances in Engineering Software

Three-dimensional elliptic grid generation with fully automatic boundary constraints

Journal of Computational Physics

The moving boundary node method: A level set-based, finite volume algorithm with applications to cell motility

Journal of Computational Physics

Robust, multidimensional mesh-motion based on Monge-Kantorovich equidistribution

Journal of Computational Physics

Optimization, resolution and application of composite compact finite difference templates

Applied Numerical Mathematics

Simulation of incompressible flow with alternate pressure Dirichlet and Neumann conditions

Mathematics and Computers in Simulation

Characteristics of aerodynamics forces acting on two square cylinders in the streamwise direction and its wake patterns

ECCE'10/ECCIE'10/ECME'10/ECC'10 Proceedings of the European conference of chemical engineering, and European conference of civil engineering, and European conference of mechanical engineering, and European conference on Control

Numerical modelling of the one-phase stefan problem by finite volume method

NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications

Adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients

Journal of Computational Physics

Composite algorithm for adaptive mesh construction based on self-organizing maps

ICANN'06 Proceedings of the 16th international conference on Artificial Neural Networks - Volume Part I

Tensor product b-spline mesh generation for accurate surface visualizations in the NIST digital library of mathematical functions

MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces

Neural network approach for parallel construction of adaptive meshes

PaCT'05 Proceedings of the 8th international conference on Parallel Computing Technologies

A volume penalization method for incompressible flows and scalar advection-diffusion with moving obstacles

Journal of Computational Physics

Feature-preserved morphing method for panel design

Mathematical and Computer Modelling: An International Journal

A note on the use of transformations in sensitivity computations for elliptic systems

Mathematical and Computer Modelling: An International Journal

Computational methods for aerodynamic shape design

Mathematical and Computer Modelling: An International Journal

Preliminary tests of a hybrid numerical-asymptotic method for solving nonlinear advection-diffusion equations in a domain limited by a self-adjusting boundary

Mathematical and Computer Modelling: An International Journal

Hybrid grid-a specialized mesh system for full three-dimensional numerical simulation in natural waters

Mathematical and Computer Modelling: An International Journal

Numerical simulation of four-field extended magnetohydrodynamics in dynamically adaptive curvilinear coordinates via Newton-Krylov-Schwarz

Journal of Computational Physics

Parallel construction of moving adaptive meshes based on self-organization

PaCT'07 Proceedings of the 9th international conference on Parallel Computing Technologies

A compact scheme for the streamfunction-velocity formulation of the 2D steady incompressible Navier-Stokes equations in polar coordinaes

Journal of Scientific Computing

On numerical modeling of animal swimming and flight

Computational Mechanics