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CIG @2019 Fall AGU

abstracts ♦ sessions of interest ♦ annual business meeting

Please join the community to celebrate the science exemplified by the career of Louise Kellogg
Understanding Global Dynamics of the Earth's Mantle: A Multidisciplinary Endeavor
DI31A, DI32A, DI33B, DI33C

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   CIG Annual Business Meeting
Wednesday, December 11, 12:45 - 2p
Location: tbd


 

Louise H. Kellogg | In memoriam: 1959-2019

We are deeply saddened by the passing of  Distinguished Professor and CIG Director Louise Kellogg on April 15, 2019.  Louise built innumerable ties among people, using her outstanding science, trans-disciplinary vision, and dedication to equity. Her family, friends and colleagues around the world are grieving her loss. Messages of sympathy and memories of Louise may be sent to memories-of-louise@ucdavis.edu. [In Memoriam]

Louise Kellogg Memorial Fund. Make a gift in support of first generation students studying Earth and Planetary Sciences at UC Davis. This support represents one of the many passions of Distinguished Professor Louise H. Kellogg.


 

 

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Using Matrix-free, Multigrid Methods in ASPECT for Large Scale Computations

 

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Solving discrete finite element systems rely heavily on the computation of matrix-vector products with sparse matrices. These matrix-vector products tend to dominate the total amount of work required for the average finite element program, and, as these matrices can be quite large and do not fit into the cache of a modern machine, accessing the data from RAM has become a major bottleneck in finite element computations. Instead of computing the entries of and storing a system matrix, matrix-free methods define an operation on a vector as a loop over the cells in the domain, applying small, dense matrices defined locally on the cell, and summing the results over the entire domain. In this way, one replicates the action of a matrix while never actually storing a matrix. These methods show significant gains in the time of a matrix-vector product as compared to traditional matrix-based methods when using degree 2 and higher finite elements [1]. [full article]

 

Reference

[1] M. Kronbichler and K. Kormann. A generic interface for parallel cell-based finite element operator application. Computers & Fluids, 63:135-147, 2012.

[2] T.C. Clevenger, T.Heister, G. Kanschat, and M. Kronbichler. A flexible, parallel, adaptive geometric multigrid method for fem. submitted.

 

Contributed by Thomas Clevenger

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