A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains

Y Ren, H Feng, S Zhao - Journal of Computational Physics, 2022 - Elsevier
For elliptic boundary value problems (BVPs) involving irregular domains and Robin
boundary condition, no numerical method is known to deliver a fourth order convergence …

A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains

C Li, Y Ren, G Long, E Boerman, S Zhao - Journal of Scientific Computing, 2023 - Springer
In this paper, a new Cartesian grid finite difference scheme is introduced for solving
parabolic initial-boundary value problems involving irregular domains and Robin boundary …

A sixth-order quasi-compact difference scheme for multidimensional Poisson equations without derivatives of source term

T Sun, Z Wang, HW Sun, C Zhang - Journal of Scientific Computing, 2022 - Springer
Sixth-order compact difference schemes for Poisson equations have been widely
investigated in the literature. Nevertheless, those methods are all constructed based on …

An augmented fourth order domain-decomposed method with fast algebraic solvers for three-dimensional Helmholtz interface problems

H Yang, G Long, Y Ren, S Zhao - Journal of Computational Physics, 2025 - Elsevier
Abstract A new Augmented Matched Interface and Boundary (AMIB) method with the fast
Fourier transform (FFT) acceleration is proposed for three-dimensional (3D) Helmholtz …

MRI Phase Image Unwrap** using DCT Based Modified Weighted Least Square Algorithm

S Verma, G Tripti, M Tanveer, R Murugan - 2023 - researchsquare.com
Background: Phase images of magnetic resonance imaging (MRI) have applications in
many fields, including the medical domain. It is often employed to identify biomarkers of …

Simulation of Flood Wave Surface by Fast Fourier Transform Based on Perlin Noise

Y Xu, P Zhang, Y Zhu, S Lei - 2022 IEEE 13th International …, 2022 - ieeexplore.ieee.org
In the field of water conservancy, due to the particularity of flood control scheduling in a short
period of time, the 3D flood visualization system has very high requirements for the …

[BOOK][B] Augmented Matched Interface and Boundary (AMIB) Method for Solving Interface and Boundary Value Problems

H Feng - 2021 - search.proquest.com
AUGMENTED MATCHED INTERFACE AND BOUNDARY(AMIB) METHOD FOR SOLVING
INTERFACE AND BOUNDARY VALUE PROBLEMS by HONGSONG FENG SHAN ZH Page 1 …