Cover Image

High-order Conservative Discontinuous Galerkin Methods via Implicit Penalization for the Generalized Korteweg-de Vries Equation and the Hirota-Satsuma KdV System

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Tariq, M. Shan, Chen, Yanlai, Dong, Bo
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis 65N30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

High-order Discontinuous Galerkin Methods for the Monodomain and Bidomain Models
by: Botta, Federica, et al.
Published: (2024)

Multiscale Spectral Generalized Finite Element Methods for Discontinuous Galerkin Schemes
by: Alber, Christian, et al.
Published: (2025)

On the Compact Discontinuous Galerkin method for polytopal meshes
by: Corti, Mattia, et al.
Published: (2026)

Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport
by: Houston, Paul, et al.
Published: (2023)

A Discontinuous Galerkin Method for the Extracellular Membrane Intracellular Model
by: Masri, Rami, et al.
Published: (2024)

Finite Volume Analysis of the Poisson Problem via a Reduced Discontinuous Galerkin Space
by: Hu, Wenbo, et al.
Published: (2025)

A velocity-based moving mesh Discontinuous Galerkin method for the advection-diffusion equation
by: Rozier, Ezra, et al.
Published: (2024)

Discontinuous Galerkin methods for the Laplace-Beltrami operator on point cloud
by: Dong, Guozhi, et al.
Published: (2020)

An Adaptive Algorithm Based on Stochastic Discontinuous Galerkin for Convection Dominated Equations with Random Data
by: Çiloğlu, Pelin, et al.
Published: (2023)

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2025)

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes
by: Wang, Chunmei
Published: (2024)

Convergence Analysis of a Dual-Wind Discontinuous Galerkin Method for an Elliptic Optimal Control Problem with Control Constraints
by: Boyana, Satyajith Bommana, et al.
Published: (2025)

Auto-Stabilized Weak Galerkin Finite Element Methods for Stokes Equations on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2025)

Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes without Convexity Assumptions
by: Wang, Chunmei
Published: (2024)

Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Equations
by: Wang, Chunmei, et al.
Published: (2019)

Analysis of a Discontinuous Galerkin Method for Diffusion Problems on Intersecting Domains
by: Kuchta, Miroslav, et al.
Published: (2025)

Trefftz Discontinuous Galerkin discretization for the Stokes problem
by: Lederer, Philip L., et al.
Published: (2023)

Simplified Weak Galerkin Methods for Linear Elasticity on Nonconvex Domains
by: Wang, Chunmei, et al.
Published: (2024)

A high-order local discontinuous Galerkin method for the $p$-Laplace equation
by: Wu, Yue, et al.
Published: (2023)

Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
by: Lepe, Felipe, et al.
Published: (2025)

Trefftz Discontinuous Galerkin approximation of an acoustic waveguide
by: Monk, Peter, et al.
Published: (2024)

A Priori Error Analysis of a High-Order Selective Discontinuous Galerkin Method for Elliptic Interface Problems
by: Liu, Fang, et al.
Published: (2026)

Hybridizable Discontinuous Galerkin Methods for Coupled Poro-Viscoelastic and Thermo-Viscoelastic Systems
by: Meddahi, Salim
Published: (2025)

Proximal Discontinuous Galerkin Methods for Variational Inequalities
by: Ern, Alexandre, et al.
Published: (2026)

A High-Order Conservative Cut Finite Element Method for Problems in Time-Dependent Domains
by: Myrbäck, Sebastian, et al.
Published: (2024)

Equilibrated Averaging Residual Method: A General Approach to Conservative Flux Recovery
by: He, Cuiyu
Published: (2025)

Auto-Stabilized Weak Galerkin Finite Element Methods on Polytopal Meshes without Convexity Constraints
by: Wang, Chunmei
Published: (2024)

$hp$-error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes
by: Dong, Zhaonan, et al.
Published: (2024)

Geometric adaptive smoothed aggregation multigrid for discontinuous Galerkin discretisations
by: Pan, Yulong, et al.
Published: (2025)

Quasi-optimal Discontinuous Galerkin discretisations of the $p$-Dirichlet problem
by: Blechta, J., et al.
Published: (2023)

New Asymptotic Preserving, Hybrid Discontinuous Galerkin Methods the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling
by: Hauck, Cory D., et al.
Published: (2024)

A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods
by: Lu, Peipei, et al.
Published: (2023)

Nonconforming Linear Element Method for a Generalized Tensor-Valued Stokes Equation with Application to the Triharmonic Equation
by: Gu, Ziwen, et al.
Published: (2025)

Error Estimates for Discontinuous Galerkin Approximations to the Vlasov-Unsteady Stokes System
by: Hutridurga, Harsha, et al.
Published: (2024)

A Simple Weak Galerkin Finite Element Method for the Reissner-Mindlin Plate Model on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2025)

Superconvergent and Divergence-Free Mixed Finite Element Methods for The Stokes Equation
by: Chen, Long, et al.
Published: (2025)

Discontinuous Galerkin methods for the complete stochastic Euler equations
by: Breit, Dominic, et al.
Published: (2024)

A class of Discontinuous Galerkin methods for nonlinear variational problems
by: Grekas, Georgios, et al.
Published: (2023)

A streamline upwind/Petrov-Galerkin method for the magnetic advection-diffusion problem
by: Li, Haochen, et al.
Published: (2025)

Optimal error estimates for a discontinuous Galerkin method on curved boundaries with polygonal meshes
by: Araújo, Adérito, et al.
Published: (2026)