A reduced-order immersed interface method based on POD basis for parabolic interface problem
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Publication:6103152
DOI10.1016/j.aml.2023.108618zbMath1514.65111OpenAlexW4320480875MaRDI QIDQ6103152
Publication date: 26 June 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2023.108618
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for low-rank matrix approximation; matrix compression (65F55)
Cites Work
- IIM-based ADI finite difference scheme for nonlinear convection-diffusion equations with interfaces
- A reduced finite element formulation based on POD method for two-dimensional solute transport problems
- Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations
- Modeling prosthetic heart valves for numerical analysis of blood flow in the heart
- Numerical analysis of blood flow in the heart
- Finite element methods and their convergence for elliptic and parabolic interface problems
- A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations
- A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems
- A reduced-order finite element method based on POD for the incompressible miscible displacement problem
- Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique
- A reduced-order Weak Galerkin finite element algorithm based on POD technique for parabolic problem on polytopal mesh
- Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations
- A highly efficient reduced-order extrapolated finite difference algorithm for time-space tempered fractional diffusion-wave equation
- A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation
- Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations
- Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients
- Partially penalized immersed finite element methods for parabolic interface problems
- An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient
- The Immersed Interface/Multigrid Methods for Interface Problems
- Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows
- Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations
- The immersed interface method for the Navier-Stokes equations with singular forces
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