An energy-stable convex splitting for the phase-field crystal equation

QR Code

An energy-stable convex splitting for the phase-field crystal equation

The phase-field crystal equation, a parabolic, sixth-order and nonlinear partial differential equation, has generated considerable interest as a possible solution to problems arising in molecular dynamics. Nonetheless, solving this equation is not a trivial task, as energy dissipation and mass conse...

Full description

Bibliographic Details
Main Authors:	Vignal, P., Dalcin, L., Brown, D., Collier, N., Calo, Victor
Format:	Journal Article
Published:	Elsevier Limited 2015
Online Access:	http://hdl.handle.net/20.500.11937/51476

Similar Items

An energy-stable time-integrator for phase-field models
by: Vignal, P., et al.
Published: (2016)

An energy-stable time-integrator for phase-field models
by: Vignal, P., et al.
Published: (2017)

An energy-stable generalized-α method for the Swift-Hohenberg equation
by: Sarmiento, A., et al.
Published: (2017)

Phase field modeling using petiGA
by: Vignal, P., et al.
Published: (2013)

Modeling phase-transitions using a high-performance, isogeometric analysis framework
by: Vignal, P., et al.
Published: (2014)

Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
by: Radwan, H., et al.
Published: (2012)

Solving nonlinear, High-order partial differential equations using a high-performance isogeometric analysis framework
by: Côrtes, A., et al.
Published: (2014)

Time adaptivity in the diffusive wave approximation to the shallow water equations
by: Collier, N., et al.
Published: (2013)

Diffusive wave approximation to the shallow water equations: Computational approach
by: Collier, N., et al.
Published: (2011)

PetIGA: A framework for high-performance isogeometric analysis
by: Dalcin, L., et al.
Published: (2016)

Coupling Navier-Stokes and Cahn-Hilliard equations in a two-dimensional annular flow configuration
by: Vignal, P., et al.
Published: (2015)

On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers
by: Collier, N., et al.
Published: (2014)

Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: Quasi-optimal test space norm
by: Niemi, A., et al.
Published: (2013)

Compensated convexity and Hausdorff stable geometric singularity extractions
by: Zhang, Kewei, et al.
Published: (2014)

PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces
by: Sarmiento, A., et al.
Published: (2017)

Energy exchange analysis in droplet dynamics via the Navier-Stokes-Cahn-Hilliard model
by: Espath, L., et al.
Published: (2016)

The cost of continuity: Performance of iterative solvers on isogeometric finite elements
by: Collier, N., et al.
Published: (2013)

Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds
by: Zhang, Kewei, et al.
Published: (2015)

Micropolar nano fluids using B-spline divergence conforming spaces
by: Sarmiento, A., et al.
Published: (2014)

Isogeometric shell formulation based on a classical shell model
by: Niemi, A., et al.
Published: (2012)

Micropolar fluids using B-spline divergence conforming spaces
by: Sarmiento, A., et al.
Published: (2014)

The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers
by: Collier, N., et al.
Published: (2012)

A scalable block-preconditioning strategy for divergence-conforming B-spline discretizations of the Stokes problem
by: Côrtes, A., et al.
Published: (2016)

Triangulability of convex graphs and convex skewness
by: Ali, Niran Abbas, et al.
Published: (2021)

Cloud field segmentation via multiscale convexity analysis
by: Lim, Sin Liang, et al.
Published: (2008)

Energy-Stable Residual Distribution Methods For System Of Shallow Water Equations
by: Wei Shyang, Chang
Published: (2019)

The value of continuity: Refined isogeometric analysis and fast direct solvers
by: Garcia, D., et al.
Published: (2016)

A survey on direct solvers for Galerkin methods
by: Pardo, D., et al.
Published: (2012)

Thermochemical measurement of the ligand field splitting energies for hexaaquocopper (II) and hexaamminecopper (II) ions
by: Muhammad Badri,, et al.
Published: (1979)

Multiscale modeling of blood flow: Coupling finite elements with smoothed dissipative particle dynamics
by: Moreno, N., et al.
Published: (2013)

On stochastic error and computational efficiency of the Markov Chain Monte Carlo method
by: Li, J., et al.
Published: (2014)

On round-off error for adaptive finite element methods
by: Alvarez-Aramberri, J., et al.
Published: (2012)

On the minima and convexity of Epstein zeta function
by: Lim, S. C., et al.
Published: (2008)

Does a circular convex blind spot mirror increase the driver’s field of view?
by: Mohd Hasnun Ariff, Hassan, et al.
Published: (2020)

The scattering of phonons by the strain and rotation fields of crystal defects
by: Brown, R.A.
Published: (1983)

Discontinuous Petrov-Galerkin method based on the optimal test space norm for steady transport problems in one space dimension
by: Niemi, A., et al.
Published: (2013)

Analysis of the discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model
by: Calo, Victor, et al.
Published: (2014)

Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems
by: Niemi, A., et al.
Published: (2011)

Preconditioners based on the Alternating-Direction-Implicit algorithm for the 2D steady-state diffusion equation with orthotropic heterogeneous coefficients
by: Gao, L., et al.
Published: (2015)

Thermochemical measurement of the ligand field splitting energies for hexaammine complexes of Mn(II), Fe(II), and Zn(II)
by: Badri, M., et al.
Published: (1977)