Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

By Jia Zhao, Qi Wang, Xiaofeng Yang. 2017

249 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Mechanics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/617ba0eb73c5757193f29a70f2ab0dae7878a16a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Xiaofeng Yang
2. Steven M. Wise
3. Jia Zhao
4. Cheng Wang
5. Jie Shen
6. Xiaoming Wang
7. Hartmut Löwen
8. Raphael Wittkowski

In Computational Mechanics

1. Jia Zhao
2. Xiaofeng Yang
3. Steven M. Wise
4. Cheng Wang
5. Colby Wight
6. Wenbin Chen
7. Jie Shen
8. Qi Wang

In Materials Chemistry

1. Jia Zhao
2. Xiaofeng Yang
3. Steven M. Wise
4. Cheng Wang
5. Yue Yan
6. Wenbin Chen
7. Jie Shen
8. Qi Wang

Citations in the corpus

• Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks (2020, background): “Here is some literature that attracts our attention [9, 10, 16, 26, 27, 30, 31].”
• Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends (2016, methodology): “This idea is inspired by the work in [18, 19,35,37], where the similar quadratization method had been applied for the polynomial type potentials for various phase field models.”
• A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation (2018, methodology): “Similar methodology has been reported in the invariant energy quadratization (IEQ) approach [26, 39, 40, 41].”