I received my Ph.D. in Civil Engineering, from U.C. Berkeley in 1998 and am a former student and postdoc with Jim Demmel in the Computer Science Division, at U.C. Berkeley. I work in the Applied Numerical Algorithms Group at Lawrence Berkeley National Laboratory, and as an adjunct research scientist in the Applied Physics and Applied Mathematics Department at Columbia University.
My research interests are in large scale numerical simulations, in particular, multigrid equation solvers and unstructured finite element simulation systems in solid mechanics.
I work as a devloper of the structured grid automatic mesh refinement (AMR) framework Chombo from Lawrence Berkeley National Laboratory, supporting multigrid solvers, particle methods and the PETSc solver interface. I also work as a developer in the PETSc numerical library - developing its algebraic multigrid (AMG) framework and methods. I work with computational physicists at Princeton Plasma Physics Laboratory (PPPL) on kinetic and MHD methods for simulating magnetically confined fusion plasmas.
I have developed parallelizing finite element code Athena , built on the serial finite element code FEAP . Athena uses my solver Olympus, an unstructured multigrid equation solver for large scale (106-109 degrees of freedom) finite element problems, which was the focus of my dissertion. I use the PETSc - numerical libraries, from Argonne National Laboratory (ANL), to provide high performance, cross platform, support for iterative solvers for discretized partial differential equations and ParMetis, from the University of Minnesota for parallel mesh partitioning. These components make up my parallel finite element code Olympus, which is used by the Berkeley Orthopaedic Biomechanics Laboratory and Columbia Biomedical Engineering bone mechanics group. Olympus was used to win a Gordon Bell Prize in 2004.
- Details of the material properties and performance results of my multigrid solvers can be obtained from my paper: Evaluation of Three Unstructured Multigrid Methods on 3D Finite Element Problems in Solid Mechanics.
- AMR particle dynamic covering set example for PIC methods in Chombo
- Last Updated 31 July 2013
Mark Adams, Jed Brown, Matt Knepley, Ravi Samtaney, "Segmental Refinement: A Multigrid Technique for Data Locality", Submitted to SISC, June 30, 2014,
Mark F. Adams, Jed Brown, John Shalf, Brian Van Straalen, Erich Strohmaier, Samuel Williams, "HPGMG 1.0: A Benchmark for Ranking High Performance Computing Systems", LBNL Technical Report, 2014, LBNL 6630E,
- Download File: hpgmg.pdf (pdf: 183 KB)