A reduced basis method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes
DOI10.1007/s10915-023-02119-3zbMath1517.65102arXiv2205.15626OpenAlexW4319263538MaRDI QIDQ6101604
Publication date: 20 June 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.15626
reduced basis methodmixed finite element methodvirtual element methodfractured porous mediaexact discrete complex
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Fractals (28A80) Chain complexes in algebraic topology (55U15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical methods for partial differential equations, boundary value problems (65N99)
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Cites Work
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- Reduced order methods for modeling and computational reduction
- On the stability of the reduced basis method for Stokes equations in parametrized domains
- Mixed finite elements in \(\mathbb{R}^3\)
- Stable mixed finite elements for linear elasticity with thin inclusions
- PorePy: an open-source software for simulation of multiphysics processes in fractured porous media
- Complexes of discrete distributional differential forms and their homology theory
- Functional analysis and exterior calculus on mixed-dimensional geometries
- Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Finite element exterior calculus, homological techniques, and applications
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Robust Discretization of Flow in Fractured Porous Media
- Connection between finite volume and mixed finite element methods
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations
- Convergence of a TPFA Finite Volume Scheme for Mixed-Dimensional Flow Problems
- Mixed-Dimensional Auxiliary Space Preconditioners
- Discrete and conforming smooth de Rham complexes in three dimensions
- Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
- Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
- Reduced Basis Methods for Partial Differential Equations
- A Family of Finite Element Stokes Complexes in Three Dimensions
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