Structure-preserving reduced order model for parametric cross-diffusion systems
DOI10.1051/m2an/2024026zbMath1547.65125MaRDI QIDQ6593976
Jad Dabaghi, Virginie Ehrlacher
Publication date: 27 August 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Numerical computation of solutions to systems of equations (65H10) Thin films (74K35) Statistical mechanics of semiconductors (82D37) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
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- Analysis of degenerate cross-diffusion population models with volume filling
- On the verification of model reduction methods based on the proper generalized decomposition
- A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
- A mechanical model of tumor encapsulation and transcapsular spread
- Finite element approximation of a nonlinear cross-diffusion population model
- Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation
- A posteriori error estimates for a compositional two-phase flow with nonlinear complementarity constraints
- Structure-preserving Galerkin POD reduced-order modeling of Hamiltonian systems
- On a goal-oriented version of the proper generalized decomposition method
- A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection
- Structure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems
- Existence Analysis of Maxwell--Stefan Systems for Multicomponent Mixtures
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Globally Convergent Inexact Newton Methods
- Solving Nonlinear Equations with Newton's Method
- Cross-diffusion systems with non-zero flux and moving boundary conditions
- A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System
- Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces
- A Finite-Volume Scheme for a Cross-Diffusion Model Arising from Interacting Many-Particle Population Systems
- Transformed Snapshot Interpolation with High Resolution Transforms
- Nonlinear Cross-Diffusion with Size Exclusion
- Model Order Reduction for Problems with Large Convection Effects
- The boundedness-by-entropy method for cross-diffusion systems
- Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots
- Reduced Basis Methods for Partial Differential Equations
- A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems
- Reduced basis methods for time-dependent problems
- Galerkin proper orthogonal decomposition methods for parabolic problems
- On the impact of dimensionally-consistent and physics-based inner products for POD-Galerkin and least-squares model reduction of compressible flows
- Finite volumes for the Stefan-Maxwell cross-diffusion system
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