Fully Discrete Discontinuous Galerkin Numerical Scheme with Second-Order Temporal Accuracy for the Hydrodynamically Coupled Lipid Vesicle Model

Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations

(2022) Cheng Wang et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Efficient linear, fully-decoupled and energy stable numerical scheme for a variable density and viscosity, volume-conserved, hydrodynamically coupled phase-field elastic bending energy model of lipid vesicles

(2022) Xiaofeng Yang   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system

(2021) Xue Wang et al.   APPLIED NUMERICAL MATHEMATICS

On a novel full decoupling, linear, second‐order accurate, and unconditionally energy stable numerical scheme for the anisotropic phase‐field dendritic crystal growth model

(2021) Xiaofeng Yang   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model

(2021) Xiaofeng Yang   JOURNAL OF COMPUTATIONAL PHYSICS

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

Numerical approximations of the Navier–Stokes equation coupled with volume-conserved multi-phase-field vesicles system: Fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme

(2020) Xiaofeng Yang   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Optimal Convergence Analysis of a Second Order Scheme for a Thin Film Model Without Slope Selection

(2019) Wenbin Chen et al.   JOURNAL OF SCIENTIFIC COMPUTING

Unconditionally energy stable numerical schemes for phase-field vesicle membrane model

(2018) F. Guillén-González et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Convergence of IPDG for coupled time-dependent Navier–Stokes and Darcy equations

(2017) Nabil Chaabane et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Motion and Deformation of Elastic Capsules and Vesicles in Flow

(2016) Dominique Barthès-Biesel   Annual Review of Fluid Mechanics

Efficient and stable exponential time differencing Runge–Kutta methods for phase field elastic bending energy models

(2016) Xiaoqiang Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A two phase field model for tracking vesicle–vesicle adhesion

(2016) Rui Gu et al.   JOURNAL OF MATHEMATICAL BIOLOGY

On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems

(2016) M. Akbas et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Decoupled energy stable schemes for phase-field vesicle membrane model

(2015) Rui Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow

(2014) Xiaobing Feng et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

(2012) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Structural changes in liquid crystal polymer vesicles induced by temperature variation and magnetic fields

(2011) Sabrina Hocine et al.   Soft Matter

Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations

(2010) Daniele A. Di Pietro et al.   MATHEMATICS OF COMPUTATION

A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows

(2009) Junseok Kim   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

(2009) Z. Hu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission

(2009) John S. Lowengrub et al.   PHYSICAL REVIEW E

DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition

(2009) Vivette Girault et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection

(2009) David Kay et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Analysis of outer membrane vesicle associated proteins isolated from the plant pathogenic bacterium Xanthomonas campestris pv. campestris

(2008) Vishaldeep K Sidhu et al.   BMC MICROBIOLOGY