A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth
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Publication:6074541
DOI10.1137/22m152997xzbMath1527.76057arXiv2209.09038MaRDI QIDQ6074541
Zhaoyang Wang, Lei Zhang, Ping Lin
Publication date: 12 October 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.09038
Physiological flows (76Z05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Physiological flow (92C35) Basic methods in fluid mechanics (76M99)
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Cites Work
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- Mathematical modeling and simulation of the evolution of plaques in blood vessels
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions
- A space-time fractional phase-field model with tunable sharpness and decay behavior and its efficient numerical simulation
- Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts
- Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates
- A note on the existence of periodic solutions of the Navier-Stokes equations
- Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fluid-structure interactions. Models, analysis and finite elements
- Modeling multiple anomalous diffusion behaviors on comb-like structures
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations
- Analysis of the heterogeneous multiscale method for ordinary differential equations
- Consistent Energy-Based Atomistic/Continuum Coupling for Two-Body Potentials in One and Two Dimensions
- Modeling Materials
- The heterogeneous multiscale method
- The Three-Dimensional Navier–Stokes Equations
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Multiscale Computations for Highly Oscillatory Problems
- A Sequential Regularization Method for Time-Dependent Incompressible Navier--Stokes Equations
- Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity
- On the Convergence of a Time Discretization Scheme for the Navier-Stokes Equations
- On the global stability of a temporal discretization scheme for the Navier-Stokes equations
- Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model
- Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem
- A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods
- Efficient Approximation of Flow Problems With Multiple Scales in Time
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fractional Equations and Models
- Heterogeneous multiscale methods for stiff ordinary differential equations
- Atomistic-to-continuum coupling
- A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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