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SUMMARY:Enriched simulations in computational mechanics - John Trevelyan\,
  University of Durham
DTSTART:20190118T150000Z
DTEND:20190118T160000Z
UID:TALK115270@talks.cam.ac.uk
CONTACT:Karen Mitchell
DESCRIPTION:In classical finite element and boundary element methods we se
 ek the solution to a boundary-value problem in a space of piecewise polyno
 mial functions. There are some classes of problems for which this approach
  leads to inefficiencies\, sometimes so severe that it becomes infeasible 
 to solve the problem. In these cases\, we can make progress by using funct
 ions other than the conventional polynomials\, the choice of these functio
 ns being informed by our knowledge of the form of the solution. In this se
 minar we will look at the solution to a range of problems in fracture mech
 anics\, wave propagation and heat transfer - each requiring a different en
 richment strategy - showing how accurate solutions may be obtained on coar
 se meshes.\n \nJon Trevelyan is a Professor of Engineering at Durham Unive
 rsity\, UK. Following his PhD he worked for 11 years in the commercial sof
 tware industry in the UK and USA\, before returning to academia. Jon’s r
 esearch involves developing finite element and boundary element methods fo
 r classes of problem for which traditional methods become inefficient\, in
 accurate or impractical. A unifying feature of these works is the use of a
 pproximating functions beyond the piecewise polynomials conventionally use
 d in these methods. In 2017 Jon completed his four-year term as Head of Du
 rham's School of Engineering and Computing Sciences.\n
LOCATION: Cambridge University Engineering Department\, LT6
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