Cover Image

A convergent finite difference-quadrature scheme for the porous medium equation with nonlocal pressure

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	del Teso, Félix, Jakobsen, Espen R.
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Deep BSDE approximation of nonlinear integro-PDEs with unbounded nonlocal operators
by: Jakobsen, Espen Robstad, et al.
Published: (2024)

Finite element approximation of an anisotropic porous medium equation with fractional pressure
by: Fronzoni, Stefano
Published: (2026)

On the rate of convergence of Yosida approximation for the nonlocal Cahn-Hilliard equation
by: Gwiazda, Piotr, et al.
Published: (2023)

Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations
by: Caballero, Josefa, et al.
Published: (2025)

Fractional Derivatives: an extension of classical analysis to non-integer orders
by: del Teso, Félix, et al.
Published: (2025)

Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
by: Hraivoronska, Anastasiia, et al.
Published: (2023)

Stability of solutions of the porous medium equation with growth with respect to the diffusion exponent
by: Dębiec, Tomasz, et al.
Published: (2024)

Strongly consistent low-dissipation WENO schemes for finite elements
by: Vedral, Joshua, et al.
Published: (2024)

An asymptotic preserving scheme for the quantum Liouville-BGK equation
by: Duboscq, Romain, et al.
Published: (2025)

Optimal rate of convergence in periodic homogenization of viscous Hamilton-Jacobi equations
by: Qian, Jianliang, et al.
Published: (2024)

A convergence rate for the entropic JKO scheme
by: Baradat, Aymeric, et al.
Published: (2026)

Singularities in phase separation models: a spectral element approach for the nonlocal Cahn-Hilliard equation
by: Miniguano-Trujillo, Andrés, et al.
Published: (2026)

A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids
by: Kong, Meijie, et al.
Published: (2023)

A deterministic particle method for the porous media equation
by: Amassad, Amina, et al.
Published: (2025)

Long time numerical stability of implicit schemes for stochastic heat equations
by: Yang, Xiaochen, et al.
Published: (2024)

On the discrete to continuous condensing aggregation equation: A weak convergence approach
by: Ghorai, Anupama, et al.
Published: (2025)

Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media
by: Bernkopf, M., et al.
Published: (2022)

A scalar auxiliary variable-based semi-implicit scheme for stochastic Cahn--Hilliard equation
by: Cui, Jianbo, et al.
Published: (2026)

Spectral scheme for an energetic Fokker-Planck equation with $κ$-distribution steady states
by: Parada, Hugo, et al.
Published: (2025)

On a robust inf-sup condition for the Stokes problem in slender domains -- with application to preconditioning
by: Sande, Espen, et al.
Published: (2025)

High order uniform in time schemes for weakly nonlinear Schrödinger equation and wave turbulence
by: Chauleur, Quentin, et al.
Published: (2025)

Splitting finite element approximations for quasi-static electroporoelasticity equations
by: Liu, Xuan, et al.
Published: (2025)

A decoupled structure preserving scheme for the Poisson-Nernst-Planck Navier-Stokes equations and its error analysis
by: Yu, Ziyao, et al.
Published: (2023)

Modified Wasserstein gradient flow formulation of time-fractional porous medium equations with nonlocal pressure
by: Chung, Nhan-Phu, et al.
Published: (2024)

Numerical simulation to the time fractional Vakhnenko Parkes equation for modeling the propagation of high frequency waves in relaxation medium
by: Das, Gayatri, et al.
Published: (2023)

On some nonlocal, nonlinear diffusion problems
by: Chipot, M. M., et al.
Published: (2026)

Structure-informed operator learning for parabolic Partial Differential Equations
by: Benth, Fred Espen, et al.
Published: (2024)

Convergence of a finite volume scheme and dissipative measure-valued-strong stability for a hyperbolic-parabolic cross-diffusion system
by: Hopf, Katharina, et al.
Published: (2023)

A high-order accurate unconditionally stable bound-preserving numerical scheme for the Cahn-Hilliard-Navier-Stokes equations
by: Gao, Yali, et al.
Published: (2024)

On some coupled local and nonlocal diffusion models
by: Borthagaray, Juan Pablo, et al.
Published: (2025)

Non-linear collision-induced breakage equation: finite volume and semi-analytical methods
by: Bariwal, Sanjiv Kumar, et al.
Published: (2024)

Discretization of fractional fully nonlinear equations by powers of discrete Laplacians
by: Chowdhury, Indranil, et al.
Published: (2024)

Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization
by: Khara, Biswajit, et al.
Published: (2023)

Numerical simulation of time fractional Kudryashov Sinelshchikov equation describing the pressure waves in a mixture of liquid and gas bubbles
by: Das, Gayatri, et al.
Published: (2023)

Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition
by: Meng, Yanzun, et al.
Published: (2023)

On a nonlinear nonlocal reaction-diffusion system applied to image restoration
by: Li, Yuhang, et al.
Published: (2024)

Convergence of the fully discrete JKO scheme
by: Hraivoronska, Anastasiia, et al.
Published: (2025)

A high-order regularization of the non-linear shallow water equations with weakly singular shock waves and its approximation by finite volume methods
by: Angana, Rezwana Razzaque, et al.
Published: (2026)

Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation
by: Tsuchiya, Takuya, et al.
Published: (2025)

Some remarks on a mathematical model for water flow in porous media with competition between transport and diffusion
by: Runcziková, Judita, et al.
Published: (2024)