Efficient Numerical Methods for Computing the Stationary States of Phase Field Crystal Models
From MaRDI portal
Publication:5146682
DOI10.1137/20M1321176zbMath1459.35160arXiv2002.09898OpenAlexW3104284044MaRDI QIDQ5146682
Chenglong Bao, Kai Jiang, Chang Chen, Wei Si
Publication date: 26 January 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09898
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear elliptic equations (35J60) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (4)
Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model ⋮ Tilt Grain Boundaries of Hexagonal Structures: A Spectral Viewpoint ⋮ Spectral deferred correction method for Landau-Brazovskii model with convex splitting technique ⋮ Convergence Analysis for Bregman Iterations in Minimizing a Class of Landau Free Energy Functionals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Numerical methods for quasicrystals
- Proximal alternating linearized minimization for nonconvex and nonsmooth problems
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- Functional analysis, Sobolev spaces and partial differential equations
- Applications of semi-implicit Fourier-spectral method to phase field equations
- A regularized semi-smooth Newton method with projection steps for composite convex programs
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- First and second order numerical methods based on a new convex splitting for phase-field crystal equation
- A regularized Newton method for computing ground states of Bose-Einstein condensates
- First- and second-order energy stable methods for the modified phase field crystal equation
- Adaptive restart for accelerated gradient schemes
- A Newton-CG Augmented Lagrangian Method for Semidefinite Programming
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- Analysis of finite element approximations of a phase field model for two-phase fluids
- The crystallographic restriction in higher dimensions
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations
- Two-Point Step Size Gradient Methods
- First Order Methods Beyond Convexity and Lipschitz Gradient Continuity with Applications to Quadratic Inverse Problems
- A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Discovery of New Metastable Patterns in Diblock Copolymers
- On the Analysis of the Discretized Kohn--Sham Density Functional Theory
- A Proximal Gradient Method for Ensemble Density Functional Theory
- A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
This page was built for publication: Efficient Numerical Methods for Computing the Stationary States of Phase Field Crystal Models
