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Adaptive mesh refinement

Known as: R refinement, H-refinement, P refinement 
In numerical analysis, adaptive mesh refinement, or AMR, is a method of adapting the accuracy of a solution within certain sensitive or turbulent… Expand
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Papers overview

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Highly Cited
2011
Highly Cited
2011
We present scalable algorithms for parallel adaptive mesh refinement and coarsening (AMR), partitioning, and 2:1 balancing on… Expand
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Highly Cited
2011
Highly Cited
2011
Abstract Adaptive local refinement is one of the key issues in isogeometric analysis. In this article we present an adaptive… Expand
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Highly Cited
2006
Highly Cited
2006
In this paper we describe the libMesh (http://libmesh.sourceforge.net) framework for parallel adaptive finite element… Expand
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Highly Cited
2004
Highly Cited
2004
We present results of 3D numerical simulations using a finite difference code featuring fixed mesh refinement (FMR), in which a… Expand
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Highly Cited
2001
Highly Cited
2001
Abstract Several physical systems, such as nonrelativistic and relativistic magnetohydrodynamics (MHD), radiation MHD… Expand
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Highly Cited
1999
Highly Cited
1999
Adaptive mesh and algorithm refinement (AMAR) embeds a particle method within a continuum method at the finest level of an… Expand
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Highly Cited
1998
Highly Cited
1998
We study dendritic microstructure evolution using an adaptive grid, finite element method applied to a phase-field model. The… Expand
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Highly Cited
1994
Highly Cited
1994
A local adaptive mesh refinement algorithm for solving hyperbolic systems of conservation laws in three space dimensions is… Expand
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Highly Cited
1991
Highly Cited
1991
An adaptive meshing method tailored to problems of strain localization is given. The adaption strategy consists of equi… Expand
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Highly Cited
1989
Highly Cited
1989
The aim of this work is the development of an automatic, adaptive mesh refinement strategy for solving hyperbolic conservation… Expand
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