libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
β Scribed by Benjamin S. Kirk; John W. Peterson; Roy H. Stogner; Graham F. Carey
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 615 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0177-0667
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## Abstract A variational formulation and __C__^1^ finite element scheme with adaptive mesh refinement and coarsening are developed for phaseβseparation processes described by the CahnβHilliard diffuse interface model of transport in a mixture or alloy. The adaptive scheme is guided by a Laplacian
We have developed an adaptive mesh refinement technique that generates elements such that the integral of the second invariant of the deviatoric strain-rate tensor over an element is nearly the same for all elements in the mesh. It is shown that the finite element meshes so generated are effective i