Adaptive regularization for the Richards equation

Newton-type methods (49M15) Flows in porous media; filtration; seepage (76S05) Mathematical modeling or simulation for problems pertaining to fluid mechanics (76-10)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Trust-region based solver for nonlinear transport in heterogeneous porous media
Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functions
On polynomial robustness of flux reconstructions.
Quasilinear elliptic-parabolic differential equations
Solution of porous medium type systems by linear approximation schemes
A study on iterative methods for solving Richards' equation
Mixed finite elements for the Richards' equation: linearization procedure
Iterative schemes for surfactant transport in porous media
On several numerical strategies to solve Richards' equation in heterogeneous media with finite volumes
A modified L-scheme to solve nonlinear diffusion problems
A nonsmooth version of Newton's method
An accurate \(\mathbf H\)(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems
The software design of gridap: a finite element package based on the Julia JIT compiler
A Robust and Efficient Linearization Scheme for Doubly Nonlinear and Degenerate Parabolic Problems Arising in Flow in Porous Media
Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs
REGULARIZATION SCHEMES FOR DEGENERATE RICHARDS EQUATIONS AND OUTFLOW CONDITIONS
Error Estimate Procedure in the Finite Element Method and Applications
Mixed and Hybrid Finite Element Methods
Explicit error bounds in a conforming finite element method
Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes
Improving Newton's Method Performance by Parametrization: The Case of the Richards Equation
Robust Newton Solver Based on Variable Switch for a Finite Volume Discretization of Richards Equation
Computational Methods for Multiphase Flows in Porous Media
Equilibrated residual error estimator for edge elements
Approximations in elasticity based on the concept of function space
Adaptive regularization, discretization, and linearization for nonsmooth problems based on primal-dual gap estimators
A posteriori error estimates for the Richards equation
An adaptive solution strategy for Richards' equation

This page was built for publication: Adaptive regularization for the Richards equation