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SUMMARY:How to solve Ax=b when A is really big: applications in solid mech
 anics and geophysics - Dr Garth N Wells\, CUED
DTSTART:20150213T140000Z
DTEND:20150213T150000Z
UID:TALK57037@talks.cam.ac.uk
CONTACT:Ms Helen Gardner
DESCRIPTION:The development of scalable linear solvers is essential to\nfa
 cilitating large scale computations of many engineering and\nscientific pr
 oblems. Larger simulations can provide new scientific\ninsights\, and in t
 he context of design can lead to improved product\nperformance and system 
 level design approaches. Advances in computer\nhardware cannot overcome th
 e inherent algorithmic complexity of some\ncommon algorithms\, such as LU 
 factorisation (which is the workhorse of\ncommercial finite element progra
 ms). The development of tools for\nscalable\, large scale simulations for 
 differential equations depends\non mathematical and algorithmic developmen
 ts. I will present\, in\ntutorial style\, some linear solvers for problems
  in solid mechanics\nand geophysics that are scalable and optimal. That is
 \, the\ncomputational cost scales linearly with problem size and the metho
 ds\nare suitable for parallel computers.  It is important to match the\nso
 lution method to the equation(s) being solved\; black box methods do\nnot 
 work. Specific examples will include gas turbine components and\nsimplifie
 d models of subduction zones. The present examples have up to\n12 billion 
 degrees of freedom and have been solved using up to 25k\nprocesses.
LOCATION:Oatley Seminar Room\, Department of Engineering
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