A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation (Q6202629)

scientific article; zbMATH DE number 7824643

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English	A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation	scientific article; zbMATH DE number 7824643

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instance of

scholarly article

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title

A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation (English)

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26 March 2024

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zbMATH Keywords

reduced-order SDD

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proper orthogonal decomposition

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convection-dominated

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characteristic finite element

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superiority

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2024.02.016

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cites work

Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition

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Additive Schwarz algorithms for parabolic convection-diffusion equations

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Multiplicative Schwarz Methods for Parabolic Problems

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Q4378195

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Schwarz type domain decomposition algorithms for parabolic equations and error estimates

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Multiplicative Schwarz algorithm with time stepping along characteristic for convection diffusion equations

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Non-iterative parallel Schwarz algorithms based on overlapping domain decomposition for parabolic partial differential equations

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Galerkin proper orthogonal decomposition methods for parabolic problems

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Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics

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Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations

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An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations

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Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations

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Explicit reduced‐order models for the stabilized finite element approximation of the incompressible Navier–Stokes equations

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A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations

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A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions

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A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations

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An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation

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A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation

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A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation

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A reduced‐order extrapolated Crank–Nicolson collocation spectral method based on proper orthogonal decomposition for the two‐dimensional viscoelastic wave equations

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Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

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Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow

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A reduced-order finite element method based on POD for the incompressible miscible displacement problem

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Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique

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A reduced-order characteristic finite element method based on POD for optimal control problem governed by convection-diffusion equation

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The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows

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Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures

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Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics

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A second order characteristic finite element scheme for convection-diffusion problems

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A reduced finite element formulation based on POD method for two-dimensional solute transport problems

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A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem

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Q5667036

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published in

Computers & Mathematics with Applications

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CAMWA.2024.02.016

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Sitelinks

Mathematics(1 entry)

mardi Publication:6202629