Linking discrete and continuum diffusion models: Well‐posedness and stable finite element discretizations
DOI10.1002/nme.7204arXiv2208.07600OpenAlexW4313826015MaRDI QIDQ6092118
Christina Schenk, David Portillo, Ignacio Romero
Publication date: 23 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.07600
convergenceunconditional stabilitymixed finite elementsPoisson problemdiscrete inf-sup conditionmulti-scale network model
Diffusion (76R50) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
- Unnamed Item
- A modular numerical method for implicit 0D/3D coupling in cardiovascular finite element simulations
- Modeling nonlocal behavior in epidemics via a reaction-diffusion system incorporating population movement along a network
- Consistent coupling of positions and rotations for embedding 1D Cosserat beams into 3D solid volumes
- Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study
- Geometric multiscale modeling of the cardiovascular system, between theory and practice
- ON THE COUPLING OF 1D AND 3D DIFFUSION-REACTION EQUATIONS: APPLICATION TO TISSUE PERFUSION PROBLEMS
- Transition finite elements for three-dimensional stress analysis
- Mixed and Hybrid Finite Element Methods
- Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction
- An Introduction to Mathematical Epidemiology
- Convex Analysis
- Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers
- Networks
This page was built for publication: Linking discrete and continuum diffusion models: Well‐posedness and stable finite element discretizations