Publications

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Journal Articles

1. Generalizing the structural phase field crystal approach for modeling solid-liquid-vapor phase transformations in pure materials
   D. L. Coelho, D. Burns, E. Wilson, and N. Provatas
   Physical Review Materials (2024)
   [arXiv]

2. Stripe patterns orientation resulting from nonuniform forcings and other competitive effects in the Swift-Hohenberg dynamics
   D. L. Coelho, E. Vitral, J. Pontes, and N. Mangiavacchi
   Physica D: Nonlinear Phenomena (2021)
   [arXiv]

3. Numerical scheme for solving the nonuniformly forced cubic and quintic Swift-Hohenberg equations strictly respecting the Lyapunov functional
   D. L. Coelho, E. Vitral, J. Pontes, and N. Mangiavacchi
   Journal of Computational and Applied Mathematics (2022)
   [arXiv]

Conference Proceedings

1. Pattern formation survey on nonuniformly forced Swift-Hohenberg equation
   D. L. Coelho, J. Pontes, and N. Mangiavacchi
   25th International Congress of Mechanical Engineering (COBEM 2019)
   Uberlândia Federal University (UFU), Uberlândia MG, Brazil

2. Numerical study of defects in Swift-Hohenberg dynamics
   J. Pontes, D. L. Coelho, and N. Mangiavacchi
   Conference of Computational Interdisciplinary Sciences (CCIS 2019)
   Georgia Institute of Technology (Georgia Tech), Atlanta GA, USA

3. Numerical study of the Swift-hohenberg equation: defects dynamics for first and second order temporal discretization
   D. L. Coelho, J. Pontes, and N. Mangiavacchi
   XVII Academic Meeting of Computational Modeling (EAMC 2019)
   National Laboratory for Scientific Computing (LNCC), Petrópolis RJ, Brazil