Copertina

$hp$-error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Dong, Zhaonan, Ern, Alexandre
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Numerical Analysis 65N15, 65N30
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

$\boldsymbol{H}(\textbf{curl})$-reconstruction of piecewise polynomial fields with application to $hp$-a posteriori nonconforming error analysis for Maxwell's equations
di: Dong, Zhaonan, et al.
Pubblicazione: (2025)

$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes
di: Dong, Zhaonan, et al.
Pubblicazione: (2023)

A hybrid high-order method for the biharmonic problem
di: Liang, Yizhou, et al.
Pubblicazione: (2025)

Superclosenes error estimates for the div least-squares finite element method on elliptic problems
di: Chen, Gang, et al.
Pubblicazione: (2024)

A post-processed higher-order multiscale method for nondivergence-form elliptic equations
di: Hauck, Moritz, et al.
Pubblicazione: (2026)

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

Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity
di: Ern, Alexandre, et al.
Pubblicazione: (2019)

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

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

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

Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form
di: Tran, Ngoc Tien
Pubblicazione: (2023)

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

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

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

A posteriori error analysis of the virtual element method for second-order quasilinear elliptic PDEs
di: Congreve, Scott, et al.
Pubblicazione: (2024)

A higher order polytopal method for contact mechanics with Tresca friction
di: Droniou, Jerome, et al.
Pubblicazione: (2026)

Lower eigenvalue bounds with hybrid high-order methods
di: Tran, Ngoc Tien
Pubblicazione: (2024)

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

$hp$-Version robust interior penalty discontinuous Galerkin methods for the $p$-Laplacian on simplicial and on essentially arbitrarily-shaped element meshes
di: Georgoulis, Emmanuil H., et al.
Pubblicazione: (2026)

Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: the two-dimensional case with layer-upwind flux
di: Cheng, Yao, et al.
Pubblicazione: (2024)

The grad-div conforming virtual element method for the quad-div problem in three dimensions
di: Dong, Xiaojing, et al.
Pubblicazione: (2024)

A grad-curl conforming virtual element method for a grad-curl problem linking the 3D quad-curl problem and Stokes system
di: Dong, Xiaojing, et al.
Pubblicazione: (2025)

Discrete weak duality of hybrid high-order methods for convex minimization problems
di: Tran, Ngoc Tien
Pubblicazione: (2023)

A monotone $Q^1$ finite element method for anisotropic elliptic equations
di: Li, Hao, et al.
Pubblicazione: (2023)

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

Superconvergent quadriatic finite element on uniform tetrahedral meshes
di: Huang, Yunqing, et al.
Pubblicazione: (2025)

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

$C^1$-$Q_k$ serendipity finite elements on rectangular meshes
di: Zhang, Shangyou
Pubblicazione: (2025)

On the constants in inverse trace inequalities for polynomials orthogonal to lower-order subspaces
di: Dong, Zhaonan, et al.
Pubblicazione: (2025)

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

A robust fully-mixed finite element method with skew-symmetry penalization for low-frequency poroelasticity
di: Bonetti, Stefano, et al.
Pubblicazione: (2025)

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

Lowest order stabilization free Virtual Element Method for the 2D Poisson equation
di: Berrone, Stefano, et al.
Pubblicazione: (2021)

Optimality of adaptive $H(\operatorname{div}\operatorname{div})$ mixed finite element methods for the Kirchhoff-Love plate bending problem
di: Hu, Jun, et al.
Pubblicazione: (2025)

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

Two families of C1-Pk Fraeijs de Veubeke-Sander finite elements on quadrilateral meshes
di: Zhang, Shangyou
Pubblicazione: (2025)

High-order primal mixed finite element method for boundary-value correction on curved domain
di: Hou, Yongli, et al.
Pubblicazione: (2024)

Locking-free hybrid high-order method for linear elasticity
di: Carstensen, Carsten, et al.
Pubblicazione: (2024)

Discrete $p$-robust $\mathbf{H}(\mathrm{div})$-liftings and a posteriori estimates for elliptic problems with $H^{-1}$ source terms
di: Ern, Alexandre, et al.
Pubblicazione: (2016)

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