Adaptive Mesh Refinement

Adaptive Mesh Refinement is a numerical technique in computational mechanics and scientific computing that systematically enhances solution accuracy by locally modifying the finite element mesh in regions of high approximation error, distinguished from uniform refinement by its selective and solution-driven spatial resolution.

7.4K

Publications

443.6K

Citations

12.9K

Authors

2.6K

Institutions

Publications per year

2017–2026

1.5K

Variants

Amr

Parents

Computational MechanicsFinite Element AnalysisFinite Element MethodsScientific Computing

Children

Adaptive Mesh AdaptivityAnisotropic Mesh RefinementBoundary Layer RefinementConservative RemeshingDynamic Mesh AdaptationGoal-oriented AdaptivityH-refinementHp-adaptivityInterface-capturing AdaptivityLocal Mesh Refinement

Publications

7.4K

A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow

Mark Sussman, Peter Smereka, Stanley Osher · Journal of Computational Physics · 1994 · 4.7K citations

Natural Sciences, Mechanical Engineering, Physics +10

Elastic crack growth in finite elements with minimal remeshing

Ted Belytschko, T. Howard Black · International Journal for Numerical Methods in Engineering · 1999 · 4.7K citations

Engineering, Computational Engineering, Mechanical Engineering +17

High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method

Urmila Ghia, K. N. Ghia, C. T. Shin · Journal of Computational Physics · 1982 · 4.2K citations

Natural Sciences, Mechanical Engineering, Physics +17

Simulating Free Surface Flows with SPH

J. J. Monaghan · Journal of Computational Physics · 1994 · 3.3K citations

Natural Sciences, Computational Engineering, Physics +12

New development in freefem++

Frédéric Hecht · Journal of Numerical Mathematics · 2012 · 3.3K citations · Full text

Computing, Computer Science, High-performance Computing +17

1–5 of 7.4K

Authors

12.9K

JB
John B. Bell
Lawrence Berkeley National Laboratory, United States
33 publications · 4.2K citations
27
h-index
PC
Phillip Colella
Lawrence Berkeley National Laboratory, United States
38 publications · 5.5K citations
24
h-index
CC
Carsten Carstensen
Humboldt-Universität zu Berlin, Germany
35 publications · 1.4K citations
24
h-index
MS
Mark S. Shephard
Rensselaer Polytechnic Institute, United States
49 publications · 2.2K citations
24
h-index
JE
Joseph E. Flaherty
Rensselaer Polytechnic Institute, United States
28 publications · 2.1K citations
23
h-index

1–5 of 12.9K

Institutions

2.6K

1–8 of 2.6K

Venues

Journal of Computational Physics
732 publications · 74.3K citations
120
h-index
Computer Methods in Applied Mechanics and Engineering
354 publications · 26K citations
77
h-index
International Journal for Numerical Methods in Engineering
309 publications · 26.3K citations
69
h-index
SIAM Journal on Numerical Analysis
132 publications · 11.8K citations
53
h-index
International Journal for Numerical Methods in Fluids
235 publications · 10.3K citations
51
h-index

1–5