A POD based extrapolation DG time stepping space-time FE method for parabolic problems (Q6614319)

scientific article; zbMATH DE number 7922117

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English	A POD based extrapolation DG time stepping space-time FE method for parabolic problems	scientific article; zbMATH DE number 7922117

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instance of

scholarly article

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title

A POD based extrapolation DG time stepping space-time FE method for parabolic problems (English)

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Journal of Mathematical Analysis and Applications

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publication date

7 October 2024

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zbMATH Keywords

proper orthogonal decomposition

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reduced-order discontinuous time stepping space-time finite element extrapolation iterative method

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error estimates

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parabolic problems

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MaRDI profile type

Publication

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cites work

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A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations

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Error estimates for space–time discontinuous Galerkin formulation based on proper orthogonal decomposition

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<i>A posteriori</i> snapshot location for POD in optimal control of linear parabolic equations

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Space-Time Galerkin POD with Application in Optimal Control of Semilinear Partial Differential Equations

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Reduced-order modeling of the upper tropical Pacific ocean model using proper orthogonal decomposition

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Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction

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Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems

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Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties

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Reduced collocation method for time-dependent parametrized partial differential equations

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Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations

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Error analysis of the reduced RBF model based on POD method for time-fractional partial differential equations

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POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations

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A fast reduced-order model for radial integral boundary element method based on proper orthogonal decomposition in nonlinear transient heat conduction problems

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An analysis of galerkin proper orthogonal decomposition for subdiffusion

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Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations

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Principal component analysis.

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Energy preserving model order reduction of the nonlinear Schrödinger equation

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An improved error bound for reduced basis approximation of linear parabolic problems

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Model reduction of dynamical systems by proper orthogonal decomposition: error bounds and comparison of methods using snapshots from the solution and the time derivatives

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Galerkin proper orthogonal decomposition methods for parabolic problems

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A reduced‐order modified finite difference method preserving unconditional energy‐stability for the Allen–Cahn equation

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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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A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media

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A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations

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

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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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Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation

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Identifiers

DOI

10.1016/j.jmaa.2024.128501

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6614319