An Approach to Combined Laplacian and Optimization-Based Smoothing for Triangular, Quadrilateral, and Quad-Dominant Meshes.

The finite element method

1989 • 15,110 citations

Automatic three‐dimensional mesh generation by the finite octree technique

1991 • 726 citations

On the Angle Condition in the Finite Element Method

1976 • 634 citations

Laplacian smoothing and Delaunay triangulations

1988 • 585 citations

Paving: A new approach to automated quadrilateral mesh generation

1991 • 513 citations

A new mesh generation scheme for arbitrary planar domains

1985 • 477 citations

Delaunay triangulation and meshing : application to finite elements

1998 • 379 citations

Tetrahedral mesh improvement using swapping and smoothing

1997 • 376 citations

A new approach to the development of automatic quadrilateral mesh generation

1991 • 252 citations

H-Morph: an indirect approach to advancing front hex meshing

2000 • 226 citations

Laplacian-Isoparametric Grid Generation Scheme

1976 • 224 citations

Bubble mesh

1995 • 190 citations

Three-Dimensional Triangulations from Local Transformations

1989 • 182 citations

Mesh Smoothing Using A Posteriori Error Estimates

1997 • 172 citations

Construction of Three-Dimensional Improved-Quality Triangulations Using Local Transformations

1995 • 151 citations

A new scheme for the generation of a graded quadrilateral mesh

1994 • 139 citations

A constrained optimization approach to finite element mesh smoothing

1991 • 132 citations

Optismoothing: An optimization-driven approach to mesh smoothing

1993 • 121 citations

On the Shape of Tetrahedra from Bisection

1994 • 118 citations

Optimal Point Placement for Mesh Smoothing

1999 • 111 citations

GENERALIZED 3-D PAVING: AN AUTOMATED QUADRILATERAL SURFACE MESH GENERATION ALGORITHM

1996 • 104 citations

An adaptive method for the automatic triangulation of 3D parametric surfaces

1998 • 101 citations

Incremental topological flipping works for regular triangulations

1992 • 100 citations

Physically-based mesh generation: automated triangulation of surfaces and volumes via bubble packing

1993 • 76 citations

More on optimal stress points—reduced integration, element distortions and error estimation

1989 • 75 citations

Generalized Laplacian smoothing of unstructured grids

1995 • 73 citations

Generating quadrilateral elements on plane and over curved surfaces

1989 • 70 citations

Advancing Front Surface Mesh Generation in Parametric Space Using a Riemannian Surface Definition.

1998 • 69 citations

Optimization of Tetrahedral Meshes

1995 • 68 citations

A DISTORTION METRIC FOR ISOPARAMETRIC FINITE ELEMENTS

1988 • 66 citations

Three-dimensional unstructured mesh generation: Part 3. Volume meshes

1996 • 45 citations

Some new distortion measures for quadrilaterals

1987 • 44 citations

Topological improvement procedures for quadrilateral finite element meshes

1998 • 35 citations

Computational study of the effect of unstructured mesh quality on solution efficiency

1997 • 35 citations

A method for the improvement of 3D solid finite-element meshes

1995 • 33 citations

Automatic 3D surface meshing to address today's industrial needs

1997 • 31 citations

Topological refinement procedures for triangular finite element meshes

1996 • 27 citations

Structured mesh adaption: Space accuracy and interpolation methods

1992 • 24 citations

Analysis automation with paving: A new quadrilateral meshing technique

1991 • 24 citations

Distortion measures for quadrilaterals with curved boundaries

1988 • 21 citations

Shape optimization using adaptive shape refinement

1993 • 18 citations

COMBINATION OF ADAPTIVITY AND MESH SMOOTHING FOR THE FINITE ELEMENT ANALYSIS OF SHELLS WITH INTERSECTIONS

1997 • 15 citations

ANISOTROPIC SMOOTHING AND SOLUTION ADAPTION FOR UNSTRUCTURED GRIDS

1996 • 11 citations

Robust distortion metric for quadratic triangular 2D finite elements

1997 • 10 citations

Algorithm for Smoothing Triangulated Surfaces

1991 • 9 citations

An a priori geometry check for a single isoparametric finite element

1993 • 7 citations

Distortion measures and inverse mapping for isoparametric 8τnode plane finite elements with curved boundaries

1998 • 7 citations