Cover Image

Minimum-residual a posteriori error estimates for hybridizable discontinuous Galerkin discretizations of the Helmholtz equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Camargo, Liliana, Rojas, Sergio, Vega, Patrick
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis 65N12, 65N15, 65N22, 65N30, 65N50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods
by: Bringmann, Philipp
Published: (2023)

A residual a posteriori error estimate for the Stabilization-free Virtual Element Method
by: Berrone, Stefano, 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)

New a posteriori error estimates for full-space transmission problems
by: Freiszlinger, Alexander, et al.
Published: (2026)

Convergence of adaptive boundary element methods driven by functional a posteriori error estimates
by: Freiszlinger, Alexander, et al.
Published: (2025)

Adaptive refinement in defeaturing problems via an equilibrated flux a posteriori error estimator
by: Buffa, Annalisa, et al.
Published: (2025)

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)

A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
by: Vacek, Petr, et al.
Published: (2024)

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

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)

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

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

A low-cost, parameter-free, and pressure-robust enriched Galerkin method for the Stokes equations
by: Lee, Seulip, et al.
Published: (2022)

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)

A discontinuous Galerkin method with fractal elements
by: Gómez, Sergio, et al.
Published: (2026)

Unified discontinuous Galerkin analysis of a thermo/poro-viscoelasticity model
by: Bonetti, Stefano, et al.
Published: (2024)

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

A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic electromagnetic problems
by: Rappaport, Ari E., et al.
Published: (2025)

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

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

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

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

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)

Goal-oriented adaptivity for multilevel stochastic Galerkin FEM with nonlinear goal functionals
by: Bespalov, Alex, et al.
Published: (2022)

Preconditioning of a pollution-free discretization of the Helmholtz equation
by: Monsuur, Harald
Published: (2025)

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

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)

Nodal auxiliary a posteriori error estimates
by: Li, Yuwen, et al.
Published: (2020)

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

A Residual Minimization approach for Nonlinear Partial Differential Equations set in Banach spaces
by: Muga, Ignacio, et al.
Published: (2026)

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)

Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound
by: Gallistl, Dietmar, et al.
Published: (2024)

A posteriori error analysis, Pod-Deim reduced order geometrically parametrized models and unfitted FEMs
by: Karatzas, Efthymios N.
Published: (2026)

A posteriori estimates for errors of functionals on finite volume approximations to solutions of elliptic boundary value problems
by: Angermann, Lutz
Published: (2012)

Optimal order time discretizations for stochastic semilinear wave equations with multiplicative noise
by: Feng, Xiaobing, et al.
Published: (2024)

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