Phase field computations for surface diffusion and void electromigration in ℝ3

Lubomir Banas; Robert Nürnberg

doi:10.1007/s00791-008-0114-0

Phase field computations for surface diffusion and void electromigration in ℝ³

Lubomir Banas, Robert Nürnberg

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

We consider a finite element approximation of a phase field model for the evolution of voids by surface diffusion in an electrically conducting solid. The phase field equations are given by a degenerate Cahn-Hilliard equation with an external forcing induced by the electric field. We describe the iterative scheme used to solve the resulting nonlinear discrete equations and present some numerical experiments in three space dimensions. © 2008 Springer-Verlag.

Original language	English
Pages (from-to)	319-327
Number of pages	9
Journal	Computing and Visualization in Science
Volume	12
Issue number	7
DOIs	https://doi.org/10.1007/s00791-008-0114-0
Publication status	Published - Sept 2009

Keywords

Fast algebraic solvers
Finite elements
Numerical experiments
Numerical methods
Phase-field models
Surface diffusion
Void electromigration

Access to Document

10.1007/s00791-008-0114-0

Cite this

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title = "Phase field computations for surface diffusion and void electromigration in ℝ3",

abstract = "We consider a finite element approximation of a phase field model for the evolution of voids by surface diffusion in an electrically conducting solid. The phase field equations are given by a degenerate Cahn-Hilliard equation with an external forcing induced by the electric field. We describe the iterative scheme used to solve the resulting nonlinear discrete equations and present some numerical experiments in three space dimensions. {\textcopyright} 2008 Springer-Verlag.",

keywords = "Fast algebraic solvers, Finite elements, Numerical experiments, Numerical methods, Phase-field models, Surface diffusion, Void electromigration",

author = "Lubomir Banas and Robert N{\"u}rnberg",

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AU - Banas, Lubomir

AU - Nürnberg, Robert

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N2 - We consider a finite element approximation of a phase field model for the evolution of voids by surface diffusion in an electrically conducting solid. The phase field equations are given by a degenerate Cahn-Hilliard equation with an external forcing induced by the electric field. We describe the iterative scheme used to solve the resulting nonlinear discrete equations and present some numerical experiments in three space dimensions. © 2008 Springer-Verlag.

AB - We consider a finite element approximation of a phase field model for the evolution of voids by surface diffusion in an electrically conducting solid. The phase field equations are given by a degenerate Cahn-Hilliard equation with an external forcing induced by the electric field. We describe the iterative scheme used to solve the resulting nonlinear discrete equations and present some numerical experiments in three space dimensions. © 2008 Springer-Verlag.

KW - Fast algebraic solvers

KW - Finite elements

KW - Numerical experiments

KW - Numerical methods

KW - Phase-field models

KW - Surface diffusion

KW - Void electromigration

U2 - 10.1007/s00791-008-0114-0

DO - 10.1007/s00791-008-0114-0

M3 - Article

SN - 1432-9360

VL - 12

SP - 319

EP - 327

JO - Computing and Visualization in Science

JF - Computing and Visualization in Science

IS - 7