Convergence analysis on computation of coupled advection-diffusion-reaction problems
DOI10.1016/j.amc.2021.126876OpenAlexW4206113206MaRDI QIDQ2668366
W. B. Dong, Yingjie Liu, Hansong Tang
Publication date: 3 March 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.14050
domain decompositionadvection-diffusion-reaction equationoptimized interface conditionscarborough criterionthe viscous Burgers equation
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Cites Work
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- About interface conditions for coupling hydrostatic and nonhydrostatic Navier-Stokes flows
- An overset grid method for integration of fully 3D fluid dynamics and geophysics fluid dynamics models to simulate multiphysics coastal ocean flows
- Schwarz methods over the course of time
- Fractional step artificial compressibility schemes for the unsteady incompressible Navier-Stokes equations
- On composite mesh difference methods for hyperbolic differential equations
- A domain decomposition method for parabolic problems
- On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach
- Comments on algorithms for grid interfaces in simulating Euler flows
- The eigenproblem of a tridiagonal 2-Toeplitz matrix
- Conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems
- An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection-diffusion problems.
- An overset-grid method for 3D unsteady incompressible flows.
- Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations
- Optimal Schwarz waveform relaxation for fractional diffusion-wave equations
- Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions
- Space-time domain decomposition for parabolic problems
- The shifted boundary method for embedded domain computations. II: Linear advection-diffusion and incompressible Navier-Stokes equations
- Design of a Smagorinsky spectral vanishing viscosity turbulence model for discontinuous Galerkin methods
- Space-time domain decomposition for advection-diffusion problems in mixed formulations
- A multi-timestep Robin-Robin domain decomposition method for time dependent advection-diffusion problems
- An assessment of coupling algorithms for nuclear reactor core physics simulations
- On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation
- Analysis of the time-Schwarz DDM on the heat PDE
- An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations
- On Conservation at Grid Interfaces
- Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
- A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change
- Optimized Waveform Relaxation Methods for RC Type Circuits
- On Nonconservative Algorithms for Grid Interfaces
- A fractional splitting algorithm for nonoverlapping domain decomposition for parabolic problem
- Optimized interface conditions for domain decomposition methods in fluid dynamics
- Uniqueness of Steady-State Solutions for Difference Equations on Overlapping Grids
- Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems
- Viscous Problems with Inviscid Approximations in Subregions: a New Approach Based on Operator Factorization
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions
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