Prediction of discretization of online GMsFEM using deep learning for Richards equation
Fuente:
arXiv
Saved in:
| Main Authors: | Spiridonov, Denis, Stepanov, Sergei, Mai, Tina |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
An exponentially convergent discretization for space-time fractional parabolic equations using $hp$-FEM
by: Melenk, Jens Markus, et al.
Published: (2022)
by: Melenk, Jens Markus, et al.
Published: (2022)
A neural network method for scalar conservation laws with convergence rates for shock-wave solutions
by: Cao, Jiachuan, et al.
Published: (2026)
by: Cao, Jiachuan, et al.
Published: (2026)
$hp$-FEM for the fractional heat equation
by: Melenk, Jens Markus, et al.
Published: (2019)
by: Melenk, Jens Markus, et al.
Published: (2019)
Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions
by: Hiemstra, Rene, et al.
Published: (2023)
by: Hiemstra, Rene, et al.
Published: (2023)
Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps
by: Wu, Po-Yi
Published: (2025)
by: Wu, Po-Yi
Published: (2025)
Neural enrichment finite element method: A hybrid framework for problems with strong oscillations or interface problems
by: Guo, Shihan, et al.
Published: (2026)
by: Guo, Shihan, et al.
Published: (2026)
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks
by: Franck, Emmanuel, et al.
Published: (2023)
by: Franck, Emmanuel, et al.
Published: (2023)
A variational approach to the analysis of the continuous space-time FEM for the wave equation
by: Gómez, Sergio
Published: (2025)
by: Gómez, Sergio
Published: (2025)
The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable
by: Petri, Louis, et al.
Published: (2025)
by: Petri, Louis, et al.
Published: (2025)
Stability, convergence, and geometric properties of second-order-in-time space-time discretizations for linear and semilinear wave equations
by: Ferrari, Matteo, et al.
Published: (2026)
by: Ferrari, Matteo, et al.
Published: (2026)
A higher order nonconforming virtual element method for the Cahn-Hilliard equation
by: Dedner, Andreas, et al.
Published: (2021)
by: Dedner, Andreas, et al.
Published: (2021)
A high-order nodally bound-preserving and mass-conservative method for linear fourth-order elliptic problems and its applications to nonlinear parabolic equations
by: Shen, Jie, et al.
Published: (2026)
by: Shen, Jie, et al.
Published: (2026)
Learning WENO for entropy stable schemes to solve conservation laws
by: Charles, Philip, et al.
Published: (2024)
by: Charles, Philip, et al.
Published: (2024)
Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity
by: Akrivis, Georgios, et al.
Published: (2024)
by: Akrivis, Georgios, et al.
Published: (2024)
Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation
by: Ferrari, Matteo, et al.
Published: (2025)
by: Ferrari, Matteo, et al.
Published: (2025)
Data-Free Asymptotics-Informed Operator Networks for Singularly Perturbed PDEs
by: Lee, Jinsil, et al.
Published: (2025)
by: Lee, Jinsil, et al.
Published: (2025)
Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit
by: Dörich, Benjamin, et al.
Published: (2024)
by: Dörich, Benjamin, et al.
Published: (2024)
Solving the inverse source problem of the fractional Poisson equation by MC-fPINNs
by: Sheng, Rui, et al.
Published: (2024)
by: Sheng, Rui, et al.
Published: (2024)
High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
by: Bermejo, Rodolfo, et al.
Published: (2024)
by: Bermejo, Rodolfo, et al.
Published: (2024)
Numerical Analysis of a Variable-Order Time-Fractional Incompressible Magnetohydrodynamics System
by: Berdyshev, Abdumauvlen, et al.
Published: (2026)
by: Berdyshev, Abdumauvlen, et al.
Published: (2026)
Multiscale solution decomposition of nonlocal-in-time problems with application in numerical computation
by: Liu, Mengmeng, et al.
Published: (2025)
by: Liu, Mengmeng, et al.
Published: (2025)
hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems
by: Karatzas, Efthymios N.
Published: (2023)
by: Karatzas, Efthymios N.
Published: (2023)
Numerical analysis of spatiotemporal high-index saddle dynamics for finding multiple solutions of semilinear elliptic problems
by: Zhang, Lei, et al.
Published: (2026)
by: Zhang, Lei, et al.
Published: (2026)
A polytopal discontinuous Galerkin method for the pseudo-stress formulation of the unsteady Stokes problem
by: Antonietti, Paola F., et al.
Published: (2024)
by: Antonietti, Paola F., et al.
Published: (2024)
Polytopal discontinuous Galerkin methods for low-frequency poroelasticity coupled to unsteady Stokes flow
by: Botti, Michele, et al.
Published: (2025)
by: Botti, Michele, et al.
Published: (2025)
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026)
by: Petri, Louis, et al.
Published: (2026)
Computing exponential of tridiagonal Toeplitz matrices with applications to numerical solution of the heat equation
by: Tatari, Mehdi, et al.
Published: (2020)
by: Tatari, Mehdi, et al.
Published: (2020)
Space-time FEM-BEM couplings for parabolic transmission problems
by: Führer, Thomas, et al.
Published: (2024)
by: Führer, Thomas, et al.
Published: (2024)
Convergence of the generalization error for deep gradient flow methods for PDEs
by: Liu, Chenguang, et al.
Published: (2025)
by: Liu, Chenguang, et al.
Published: (2025)
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems
by: Diening, Lars, et al.
Published: (2025)
by: Diening, Lars, et al.
Published: (2025)
Mixed finite element methods for the Landau--Lifshitz--Baryakhtar and the regularised Landau--Lifshitz--Bloch equations in micromagnetics
by: Soenjaya, Agus L.
Published: (2024)
by: Soenjaya, Agus L.
Published: (2024)
Stable $C^1$-conforming finite element methods for a class of nonlinear fourth-order evolution equations
by: Soenjaya, Agus L., et al.
Published: (2023)
by: Soenjaya, Agus L., et al.
Published: (2023)
Error analysis for learning the time-stepping operator of evolutionary PDEs
by: Chen, Ke, et al.
Published: (2025)
by: Chen, Ke, et al.
Published: (2025)
An Energy-Preserving Domain of Dependence Stabilization for the Linear Wave Equation on Cut-Cell Meshes
by: Birke, Gunnar, et al.
Published: (2026)
by: Birke, Gunnar, et al.
Published: (2026)
On the prospects of interpolatory spline bases for accurate mass lumping strategies in isogeometric analysis
by: Voet, Yannis, et al.
Published: (2025)
by: Voet, Yannis, et al.
Published: (2025)
Error Inhibiting Methods for Finite Elements
by: Ditkowski, Adi, et al.
Published: (2020)
by: Ditkowski, Adi, et al.
Published: (2020)
An Assessment of Solvers for Algebraically Stabilized Discretizations of Convection-Diffusion-Reaction Equations
by: Jha, Abhinav, et al.
Published: (2021)
by: Jha, Abhinav, et al.
Published: (2021)
Error Inhibiting Methods for Finite Elements
by: Ditkowski, Adi, et al.
Published: (2024)
by: Ditkowski, Adi, et al.
Published: (2024)
Unconditionally stable second order convergent partitioned methods for multiple-network poroelasticity
by: Lee, Jeonghun J.
Published: (2019)
by: Lee, Jeonghun J.
Published: (2019)
Similar Items
-
An exponentially convergent discretization for space-time fractional parabolic equations using $hp$-FEM
by: Melenk, Jens Markus, et al.
Published: (2022) -
A neural network method for scalar conservation laws with convergence rates for shock-wave solutions
by: Cao, Jiachuan, et al.
Published: (2026) -
$hp$-FEM for the fractional heat equation
by: Melenk, Jens Markus, et al.
Published: (2019) -
Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions
by: Hiemstra, Rene, et al.
Published: (2023) -
Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps
by: Wu, Po-Yi
Published: (2025)