Choice of interior penalty coefficient for interior penalty discontinuous Galerkin method for Biot's system by employing machine learning
DOI10.4208/ijnam2024-1031MaRDI QIDQ6648523
Sanghyun Lee, Hamidreza M. Nick, Teeratorn Kadeethum
Publication date: 4 December 2024
Published in: International Journal of Numerical Analysis and Modeling (Search for Journal in Brave)
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Compatible algorithms for coupled flow and transport
- Tutorial on maximum likelihood estimation
- Analytical and variational numerical methods for unstable miscible displacement flows in porous media
- Discontinuous Galerkin methods for coupled flow and reactive transport problems
- An explicit expression for the penalty parameter of the interior penalty method
- Coupling of locally conservative methods for single phase flow
- A discontinuous \(hp\) finite element method for diffusion problems: 1-D analysis
- Enriched Galerkin finite elements for coupled poromechanics with local mass conservation
- Enriched Galerkin discretization for modeling poroelasticity and permeability alteration in heterogeneous porous media
- Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods
- Finite element solvers for Biot's poroelasticity equations in porous media
- Machine learning acceleration for nonlinear solvers applied to multiphase porous media flow
- Computational mechanics enhanced by deep learning
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Estimation of penalty parameters for symmetric interior penalty Galerkin methods
- Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport
- Analysis of a discontinuous Galerkin method for the Biot's consolidation problem
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- General theory of three-dimensional consolidation.
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
- A locally conservative enriched Galerkin approximation and efficient solver for elliptic and parabolic problems
- Deep vs. shallow networks: an approximation theory perspective
- Applied Predictive Modeling
- Fully Computable Error Bounds for Discontinuous Galerkin Finite Element Approximations on Meshes with an Arbitrary Number of Levels of Hanging Nodes
- Constant free error bounds for nonuniform order discontinuous Galerkin finite-element approximation on locally refined meshes with hanging nodes
- Deep Learning: Methods and Applications
- Large-Scale Machine Learning with Stochastic Gradient Descent
- A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation
- A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
- Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection
- An Interior Penalty Finite Element Method with Discontinuous Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- A Local Residual Finite Element Procedure for Elliptic Equations
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Discontinuous Galerkin methods for flow and transport problems in porous media
- Raytcho Lazarov - 60
- Nonlinear Regressions with Integrated Time Series
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- An Introduction to Statistical Learning
- Locking-Free Enriched Galerkin Method for Linear Elasticity
- A Domain Decomposition Method Based on Weighted Interior Penalties for Advection‐Diffusion‐Reaction Problems
- Spatial prediction and ordinary kriging
- Locking-free and locally-conservative enriched Galerkin method for poroelasticity
This page was built for publication: Choice of interior penalty coefficient for interior penalty discontinuous Galerkin method for Biot's system by employing machine learning
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6648523)