Linear multi-step methods and their numerical stability for solving gradient flow equations
出版年份 2023 全文链接
标题
Linear multi-step methods and their numerical stability for solving gradient flow equations
作者
关键词
-
出版物
ADVANCES IN COMPUTATIONAL MATHEMATICS
Volume 49, Issue 3, Pages -
出版商
Springer Science and Business Media LLC
发表日期
2023-06-09
DOI
10.1007/s10444-023-10043-1
参考文献
相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。- A new class of implicit–explicit BDFk SAV schemes for general dissipative systems and their error analysis
- (2022) Fukeng Huang et al. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- Energy-decreasing exponential time differencing Runge–Kutta methods for phase-field models
- (2022) Zhaohui Fu et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Phase‐field‐crystal study on the crack propagation behavior in a nanoscale two‐dimensional lattice in the presence of nonlinear disturbance strains
- (2021) Shi Hu et al. FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES
- Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations
- (2021) Xavier Antoine et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Numerical Investigation to the Effect of Initial Guess for Phase-Field Models
- (2021) Sungha Yoon East Asian Journal on Applied Mathematics
- Fully-discrete energy-preserving scheme for the space-fractional Klein–Gordon equation via Lagrange multiplier type scalar auxiliary variable approach
- (2021) Qiong-Ao Huang et al. MATHEMATICS AND COMPUTERS IN SIMULATION
- Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models
- (2020) Yuezheng Gong et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation
- (2020) Xiaoli Li et al. ADVANCES IN COMPUTATIONAL MATHEMATICS
- A new Lagrange multiplier approach for gradient flows
- (2020) Qing Cheng et al. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- A gPAV-based unconditionally energy-stable scheme for incompressible flows with outflow/open boundaries
- (2020) Lianlei Lin et al. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations
- (2020) Hong Zhang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Arbitrarily high-order linear energy stable schemes for gradient flow models
- (2020) Yuezheng Gong et al. JOURNAL OF COMPUTATIONAL PHYSICS
- gPAV-based unconditionally energy-stable schemes for the Cahn–Hilliard equation: Stability and error analysis
- (2020) Yanxia Qian et al. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- Efficient and linear schemes for anisotropic Cahn–Hilliard model using the Stabilized-Invariant Energy Quadratization (S-IEQ) approach
- (2019) Zhen Xu et al. COMPUTER PHYSICS COMMUNICATIONS
- Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
- (2019) Qi Li et al. ADVANCES IN COMPUTATIONAL MATHEMATICS
- A family of second-order energy-stable schemes for Cahn–Hilliard type equations
- (2019) Zhiguo Yang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- An unconditionally energy stable scheme for simulating wrinkling phenomena of elastic thin films on a compliant substrate
- (2019) Qiong-Ao Huang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy†
- (2019) Qiong-Ao Huang Communications in Computational Physics
- Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models
- (2019) Yuezheng Gong et al. COMPUTER PHYSICS COMMUNICATIONS
- A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity
- (2019) Zhiguo Yang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Wrinkling pattern evolution on curved surfaces
- (2019) Yan Zhao et al. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
- Surface wrinkling of anisotropic films bonded on a compliant substrate
- (2018) Si-Fan Yin et al. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
- Stabilized linear semi-implicit schemes for the nonlocal Cahn–Hilliard equation
- (2018) Qiang Du et al. JOURNAL OF COMPUTATIONAL PHYSICS
- The scalar auxiliary variable (SAV) approach for gradient flows
- (2018) Jie Shen et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach
- (2018) Xiaofeng Yang et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- (2018) Jie Shen et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
- (2017) Xiaofeng Yang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Analysis and Approximation of a Fractional Cahn--Hilliard Equation
- (2017) Mark Ainsworth et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Nonlinear analysis of compressed elastic thin films on elastic substrates: From wrinkling to buckle-delamination
- (2014) Kui Pan et al. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- (2013) A. Baskaran et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Phase field approach for simulating solid-state dewetting problems
- (2012) Wei Jiang et al. ACTA MATERIALIA
- Solid-State Dewetting of Thin Films
- (2012) Carl V. Thompson Annual Review of Materials Research
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- (2010) Jie Shen et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- (2010) C. Miehe et al. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
- Fracture analysis of a magnetoelectroelastic solid with a penny-shaped crack by considering the effects of the opening crack interior
- (2008) Xian-Ci Zhong et al. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
- The Variational Approach to Fracture
- (2008) Blaise Bourdin et al. JOURNAL OF ELASTICITY
Find Funding. Review Successful Grants.
Explore over 25,000 new funding opportunities and over 6,000,000 successful grants.
ExplorePublish scientific posters with Peeref
Peeref publishes scientific posters from all research disciplines. Our Diamond Open Access policy means free access to content and no publication fees for authors.
Learn More