In numerical analysis, adaptive mesh refinement, or AMR, is a method of adapting the accuracy of a solution within certain sensitive or turbulentâ€¦Â (More)

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Highly Cited

2011

Highly Cited

2011

- Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas
- SIAM J. Scientific Computing
- 2011

We present scalable algorithms for parallel adaptive mesh refinement and coarsening (AMR), partitioning, and 2:1 balancing onâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Benjamin S. Kirk, John W. Peterson, Roy H. Stogner, Graham F. Carey
- Engineering with Computers
- 2006

In this paper we describe the libMesh ( http://libmesh.sourceforge.net ) framework for parallel adaptive finite elementâ€¦Â (More)

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2005

2005

- Tong Wen, Phillip Colella
- 19th IEEE International Parallel and Distributedâ€¦
- 2005

In this paper, we evaluate Titanium's usability as a high-level parallel programming language through a case study, where weâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- Yuri Bazilevs
- 2004

The concept of isogeometric analysis is proposed. Basis functions generated from NURBS (Non-Uniform Rational B-Splines) areâ€¦Â (More)

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Highly Cited

2000

Highly Cited

2000

- Charles A. Rendleman, Vincent E. Beckner, Mike Lijewski, William Crutchfield, John B. Bell
- 2000

We describe an approach to parallelization of structured adaptive mesh refinement algorithms. This type of adaptive methodologyâ€¦Â (More)

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1997

1997

- C. T. Traxler
- Computing
- 1997

The author describes a fast algorithm for local adaptive mesh refinement inn dimensions based on simplex bisection. A ready-toâ€¦Â (More)

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1997

1997

- Mark T. Jones, Paul E. Plassmann
- SIAM J. Scientific Computing
- 1997

Computational methods based on the use of adaptively constructed nonuniform meshes reduce the amount of computation and storageâ€¦Â (More)

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1996

1996

This report discusses an implementation [1] of an Adaptive Mesh Refinement (AMR) Poisson solver which solves Poissonâ€™s equationâ€¦Â (More)

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Highly Cited

1994

Highly Cited

1994

- John Bell, Marsha J. Berger, Jeffrey Saltzman, Mike Welcome
- SIAM J. Scientific Computing
- 1994

A local adaptive mesh refinement algorithm for solving hyperbolic systems of conservation laws in three space dimensions isâ€¦Â (More)

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Highly Cited

1987

Highly Cited

1987

- M.., Ingrid Berger
- 1987

The aim of this work is the development of an automatic, adaptive mesh refinement strategy for solving hyperbolic conservationâ€¦Â (More)

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