Applications of Semi|Implicit Fourier|Spectral Method to Phase Field ...

Fourier Spectral Phase Field Simulations of Elastically Anisotropic ...

... semi-implicit Fourier spectral method. Our analysis included specific cases related to bicrystalline planar and curved systems as well as polycrystalline ...

A semi-analytical Fourier spectral method for the Allen–

In recent years, Fourier spectral methods have been widely used as a powerful tool for solving phase-field equations.

MEUMAPPS C++: A Scalable, Performance-Portable, Open-Source ...

The phase-field method is one of the leading methods for high fidelity predictions of microstructure evolution. One of the most significant ...

Semi-analytical Fourier transform and its application to physical ...

• In practice, field with strong wavefront phase. − huge numerical effort ... • Fourier transform of quadratic phase term. − Mathematic tool: Fresnel ...

Chapter 7. Fourier spectral methods - People

Increasingly they are becoming viewed within some fields as an equal competitor to the better established finite difference and finite element approaches. At ...

Spectral approximation of fractional PDEs in image processing and ...

Keywords: Fractional Laplacian; image denoising; phase field models; error analysis; Fourier spectral method. AMS: 35S15, 26A33, 65R20, 65N12, 65N35, 49M05, ...

Fourier transform - Wikipedia

The red and blue sinusoids have a phase difference of θ. Functions that are localized in the time domain have Fourier transforms that are spread out across the ...

Spectral comparison principles for the Cahn-Hilliard and phase-field ...

... Application of a semi-implicit Fourier spectral method · Veena Tikare. Physical Review E, 1999. downloadDownload free PDF View PDFchevron_right · Slow Dynamics ...

Phase-field methods for spectral shape and topology optimization

At the same time this field has many applications as for instance the mechanical stability of vibrating objects, thermic properties of bodies and wave ...

Application of the semi-analytical Fourier transform to ...

Field distribution at different planes of a convergent aberrated spherical wave propagating to its focal region: amplitude and residual phase or ...

Simulating Surface-Mediated Self Assembly Patterns by a Stabilized ...

Keywords: self-assembly, Fourier spectral method, phase field method, domain pattern, surface stress ... . Application of standard semi-implicit spectral method ...

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme ...

... semi-implicit Fourier-spectral method to phase field equations. SIAM J. Numer. Anal. (2016). Accepted and in press. 46. Shen, J., Wang, C ...

Phase Field Techniques - Mechanics and Materials Laboratory

In order to overcome the ringing artifacts, we use finite difference stencils to approximate spatial gradients before taking a Fourier transform. This ...

Chebyshev and Fourier Spectral Methods 2000

... Implicit: RLW&QG . . . . . . . . . . . . . . . . . . . . . . . . . . 181. 10 ... applications. My second book, Weakly Nonlocal Solitary Waves and Beyond ...

Advanced Operator-Splitting-Based Semi-Implicit Spectral Method to ...

We present an efficient method to solve numerically the equations of dissipative dynamics of the binary phase-field crystal model proposed by ...

Machine-learning-based spectral methods for partial differential ...

Applications of semi-implicit Fourier-spectral method to phase field equations. Comput. Phys. Commun. 1998;108(2–3):147–158. doi: 10.1016 ...

Advanced Operator-Splitting-Based Semi-Implicit Spectral Method to ...

We present an efficient method to solve numerically the equations of dissipative dynamics of the binary phase-field crystal model proposed by ...

Semi-analytical Fourier transform and its application to ... - NASA ADS

In this work we propose, precisely, a way to tackle the Fourier transform that eschews the sampling of second-order polynomial phase terms, handling them ...

A FOURIER–CHEBYSHEV SPECTRAL COLLOCATION METHOD ...

The intermediate velocity field is obtained first by advancing through the advection–diffusion equation. A second-order-accurate, semi-implicit method is used ...

A BDF2-SSAV Numerical Scheme with Fourier- Spectral Method for ...

conditioning for a phase-field model with application ... TANG, Characterizing the stabilization size for semi-implicit Fourier- spectral method to phase field ...