Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation

DOI10.1137/140980375zbMath1320.82059arXiv1501.06852OpenAlexW1571541686MaRDI QIDQ5258608

Simon Praetorius, Axel Voigt

Publication date: 23 June 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06852

zbMATH Keywords

finite element methodpreconditionerspectral analysisphase-field crystal equationrosenbrock time-discretization

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Iterative numerical methods for linear systems (65F10) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Parallel numerical computation (65Y05) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items

Crosspoint modification for multi-patch isogeometric analysis, Parallel energy-stable phase field crystal simulations based on domain decomposition methods, Efficient unconditionally stable numerical schemes for a modified phase field crystal model with a strong nonlinear vacancy potential, Matching Schur Complement Approximations for Certain Saddle-Point Systems, A meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheres, Robust additive block triangular preconditioners for block two-by-two linear systems, Towards infinite tilings with symmetric boundaries, Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation, Optimal Control of a Semidiscrete Cahn--Hilliard--Navier--Stokes System with Nonmatched Fluid Densities

Uses Software

• SuperLU-DIST
• UMFPACK
• CUDA
• SC Toolbox
• Eigtool
• OpenCL
• AMDiS

Cites Work

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