A space-time isogeometric method for the partial differential-algebraic system of Biot's poroelasticity model
DOI10.1553/etna_vol55s310zbMath1490.76202arXiv2102.07798OpenAlexW3132568891MaRDI QIDQ2672179
Publication date: 8 June 2022
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07798
Numerical computation using splines (65D07) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Uses Software
Cites Work
- \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
- Anisotropic NURBS approximation in isogeometric analysis
- A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
- IsoGeometric analysis: a new paradigm in the numerical approximation of PDEs, Cetraro, Italy 2012. Based on lectures given at the summer school
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Trace theorems for Sobolev spaces on Lipschitz domains. Necessary conditions
- Diffusion in poro-elastic media
- Robust three-field finite element methods for Biot's consolidation model in poroelasticity
- A stabilized finite element method for finite-strain three-field poroelasticity
- Computational flexible multibody dynamics. A differential-algebraic approach
- A high-order HDG method for the Biot's consolidation model
- Space-time isogeometric analysis of parabolic evolution problems
- Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
- A method of fundamental solutions in poroelasticity to model the stress field in geothermal reservoirs
- 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
- Locking-Free Finite Element Methods for Poroelasticity
- Convergence analysis of a new mixed finite element method for Biot's consolidation model
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- The linear constraints in Poincaré and Korn type inequalities
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
This page was built for publication: A space-time isogeometric method for the partial differential-algebraic system of Biot's poroelasticity model
