Mixed isogeometric collocation methods for the simulation of poromechanics problems in 1D
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Publication:1750139
DOI10.1007/s11012-018-0820-8zbMath1391.76739OpenAlexW2786449432MaRDI QIDQ1750139
Publication date: 18 May 2018
Published in: Meccanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11012-018-0820-8
Flows in porous media; filtration; seepage (76S05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
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- Isogeometric collocation mixed methods for rods
- Isogeometric collocation for elastostatics and explicit dynamics
- Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models
- Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
- Stability of semidiscrete formulations for parabolic problems at small time steps
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- On convergence conditions of partitioned solution procedures for consolidation problems
- Non-prismatic Timoshenko-like beam model: numerical solution via isogeometric collocation
- A displacement-free formulation for the Timoshenko beam problem and a corresponding isogeometric collocation approach
- Isogeometric collocation: Neumann boundary conditions and contact
- An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates
- A NURBS-based immersed methodology for fluid-structure interaction
- Single-variable formulations and isogeometric discretizations for shear deformable beams
- An isogeometric collocation method using superconvergent points
- Isogeometric collocation methods with generalized B-splines
- The variational collocation method
- Optimal-order isogeometric collocation at Galerkin superconvergent points
- Locking-free isogeometric collocation methods for spatial Timoshenko rods
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- Dynamics of porous media at finite strain
- Isogeometric collocation for large deformation elasticity and frictional contact problems
- Numerical modelling of dynamic consolidation on granular soils
- An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems
- A thermo-hydro-mechanical model for multiphase geomaterials in dynamics with application to strain localization simulation
- Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
- ISOGEOMETRIC COLLOCATION METHODS
- Wave propagation in a simplified modelled poroelastic continuum: fundamental solutions and a time domain boundary element formulation
- Thin flow element and the problem of ill-conditioning
- An accuracy condition for consolidation by finite elements
- On stability and convergence of finite element approximations of Biot's consolidation problem
- Evaluation of three‐ and two‐field finite element methods for the dynamic response of saturated soil
- Isogeometric Analysis
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