Cover Image

$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dong, Zhaonan, Mascotto, Lorenzo
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis 65N12, 65N30, 65N50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On $p$-robust convergence and optimality of adaptive FEM driven by equilibrated-flux estimators
by: Chaumont-Frelet, Théophile, et al.
Published: (2026)

A generalized Hessian-based error estimator for an IPDG formulation of the biharmonic problem in two dimensions
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

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

Optimal convergence rates of an adaptive finite element method for unbounded domains
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

Global convergence of adaptive least-squares finite element methods for nonlinear PDEs
by: Bringmann, Philipp, et al.
Published: (2025)

An adaptive mesh refinement strategy to ensure quasi-optimality of finite element methods for self-adjoint Helmholtz problems
by: van Beeck, Tim, et al.
Published: (2024)

Nonconforming $hp$-FE/BE coupling on unstructured meshes based on Nitsche's method
by: Chernov, Alexey, et al.
Published: (2026)

Guaranteed inf-sup bounds and existence verification for semilinear elliptic problems via nonconforming finite elements
by: Gräßle, Benedikt
Published: (2026)

$hp$-FEM for Elastoplasticity & $hp$-Adaptivity Based on Local Error Reductions
by: Bammer, Patrick
Published: (2024)

Stability and interpolation estimates of Hellinger-Reissner virtual element spaces
by: Botti, Michele, et al.
Published: (2025)

Adaptive virtual elements based on hybridized, reliable, and efficient flux reconstructions
by: Dassi, F., et al.
Published: (2021)

A nonconforming method for a generalized Darcy-Forchheimer model
by: Botti, Michele, et al.
Published: (2026)

An adaptive superconvergent finite element method based on local residual minimization
by: Muga, Ignacio, et al.
Published: (2022)

$hp$-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains
by: Banjai, Lehel, et al.
Published: (2020)

An $hp$ Error Analysis of HDG for Dynamic Poroelasticity
by: Meddahi, Salim
Published: (2025)

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

An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, Part II. Piecewise-smooth interfaces
by: Chen, Zhiming, et al.
Published: (2024)

On inf-sup stability and optimal convergence of the quasi-reversibility method for unique continuation subject to Poisson's equation
by: Burman, Erik, et al.
Published: (2024)

A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation
by: Dong, Zhaonan, 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)

Minimum-residual a posteriori error estimates for hybridizable discontinuous Galerkin discretizations of the Helmholtz equation
by: Camargo, Liliana, et al.
Published: (2023)

Robust Variational Physics-Informed Neural Networks
by: Rojas, Sergio, et al.
Published: (2023)

Effective polygonal mesh generation and refinement for VEM
by: Berrone, Stefano, et al.
Published: (2024)

Error estimates for the interpolation and approximation of gradients and vector fields on protected Delaunay meshes in $\mathbb{R}^d$
by: Williams, David M., et al.
Published: (2025)

Adaptive finite element approximations of the first eigenpair associated with $p$-Laplacian
by: Li, Guanglian, et al.
Published: (2024)

Key challenges and bridges among convergence analysis techniques for polytopal methods
by: da Veiga, Lourenço Beirão, et al.
Published: (2026)

A Unified Transmissibility-Based Interior Penalty DG Method for Heterogeneous and Anisotropic Diffusion
by: Etangsale, Gregory, et al.
Published: (2026)

Mortar coupling of $hp$-discontinuous Galerkin and boundary element methods for the Helmholtz equation
by: Erath, Christoph, et al.
Published: (2021)

Quasi-optimal polytopal finite element methods for biharmonic equation
by: Tran, Ngoc Tien
Published: (2026)

Adaptive refinement for eigenvalue problems based on an associated source problem
by: Giani, Stefano, et al.
Published: (2025)

A stabilized nonconforming finite element method for the surface biharmonic problem
by: Wu, Shuonan, et al.
Published: (2024)

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

A Taylor-Hood finite element method for the surface Stokes problem without penalization
by: Demlow, Alan, et al.
Published: (2025)

Embedded Trefftz DG method for the Helmholtz equation
by: Stocker, Paul, et al.
Published: (2026)

Optimal convergence rates in $L^2$ for a first order system least squares finite element method -- Part II: inhomogeneous Robin boundary conditions
by: Bernkopf, Maximilian, et al.
Published: (2024)

A $C^0$-continuous nonconforming virtual element method for linear strain gradient elasticity
by: Huang, Jianguo, et al.
Published: (2024)

Convergence Analysis of Adaptive Finite Element Algorithms for a Regularized Variational Model of Quasi-Static Brittle Fracture in "Strain-Limiting" Elastic Solids
by: Manohar, Ram, et al.
Published: (2025)

Robust hybrid finite element methods for reaction-dominated diffusion problems
by: Führer, Thomas, et al.
Published: (2024)

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes
by: da Veiga, Lourenço Beirão, et al.
Published: (2021)

Edge-averaged virtual element methods for convection-diffusion and convection-dominated problems
by: Cao, Shuhao, et al.
Published: (2024)