The fractional steps domain decomposition method for numerical solution of a class of viscous wave equations

DOI10.1134/S0965542513070191zbMath1299.76048OpenAlexW2072734046MaRDI QIDQ5413143

Quanyon Zhu, Quanxian Wang, Zhi-Yue Zhang

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542513070191

zbMATH Keywords

domain decomposition methodfractional stepsimplicit difference schemeviscous wave equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Waves for incompressible viscous fluids (76D33)

Related Items (2)

Residual symmetry and Bäcklund transformations of model equations for shallow water waves ⋮ An efficient GPU-based fractional-step domain decomposition scheme for the reaction-diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• High-performance modeling acoustic and elastic waves using the parallel dichotomy algorithm
• Numerical methods for viscous and nonviscous wave equations
• Domain decomposition methods for the numerical solution of partial differential equations
• An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media
• Analysis and application of finite volume element methods to a class of partial differential equations
• A new time-space domain high-order finite-difference method for the acoustic wave equation
• An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film
• The first initial-boundary value problem for the gravity-inertia wave equation in a multiply connected domain
• A substructuring domain decomposition scheme for unsteady problems
• The finite element numerical analysis for a class of nonlinear evolution equations
• Construction of splitting schemes based on transition operator approximation
• Additive schemes for certain operator-differential equations
• Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
• The alternating group explicit parallel algorithms for convection dominated diffusion problem of variable coefficient
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Recovery of High Frequency Wave Fields for the Acoustic Wave Equation
• Global existence of small solutions to a class of nonlinear evolution equations
• Efficient Parallel Algorithms for Parabolic Problems
• A new alternating‐direction finite element method for hyperbolic equation
• Heat waves
• A fourth-order finite difference solver for nerve conduction equation in rectangular domains
• On the Construction and Comparison of Difference Schemes
• PDF simulations of a bluff-body stabilized flow
• Iterative solution and finite difference approximations to 3D microscale heat transport equation

This page was built for publication: The fractional steps domain decomposition method for numerical solution of a class of viscous wave equations