Optimal control in poroelasticity
DOI10.1080/00036811.2021.2008372zbMath1506.35157OpenAlexW3214888291MaRDI QIDQ5072145
Lorena Bociu, Sarah Strikwerda
Publication date: 25 April 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.2008372
PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Physiological flows (76Z05) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of nonlinear poro-elastic and poro-visco-elastic models
- Analysis and numerical approximations of equations of nonlinear poroelasticity
- Effect of intraocular pressure on the hemodynamics of the central retinal artery: a mathematical model
- A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
- An analysis of the influence of the pressurization rate on the borehole breakdown pressure
- Partially saturated flow in a poroelastic medium
- Diffusion in poro-elastic media
- The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics
- Nonlinear quasi-static poroelasticity
- On the role of compressibility in poroviscoelastic models
- Local sensitivity via the complex-step derivative approximation for 1D poro-elastic and poro-visco-elastic models
- Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
- Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case
- A Galerkin Method for Biot Consolidation Model
- The existence and uniqueness theorem in Biot's consolidation theory
- Internally Constrained Mixtures of Elastic Continua
- A Mixture Theory for the Genesis of Residual Stresses in Growing Tissues I: A General Formulation
- Sensitivity analysis in poro-elastic and poro-visco-elastic models with respect to boundary data
- A hydroelastic model of hydrocephalus
This page was built for publication: Optimal control in poroelasticity
