Robust Error Estimates for Adaptive Phase Field Simulations | Zendy

Bartels Sören | Zendy; Müller Rüdiger | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Robust Error Estimates for Adaptive Phase Field Simulations

Author(s) -

Bartels Sören,

Müller Rüdiger

Publication year - 2008

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200810983

Subject(s) - phase (matter) , rotor (electric) , field (mathematics) , phase field models , exponential growth , materials science , soldering , interface (matter) , mechanics , mathematics , statistical physics , mechanical engineering , physics , metallurgy , engineering , mathematical analysis , bubble , quantum mechanics , maximum bubble pressure method , pure mathematics

Phase field equations are commonly used as a regularized model, where bulk phases are separated by interface regions that have a thickness of the order γ. Their numerical analysis is well established for a fixed parameter size γ, but conventional error estimates depend exponentially on γ −1 and thus become useless in the relevant case if γ→0. Technical applications include e.g. the simulation of Sn–Cu alloys for the production of lead free solder or Ni–Al alloys used for rotor blade surfaces. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research