Extended HDG methods for second order elliptic interface problems
From MaRDI portal
Publication:785588
DOI10.1007/s10915-020-01272-3zbMath1452.65339arXiv1910.09769OpenAlexW3043435143MaRDI QIDQ785588
Publication date: 7 August 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.09769
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (4)
A conforming virtual element method based on unfitted meshes for the elliptic interface problem ⋮ An interface/boundary-unfitted eXtended HDG method for linear elasticity problems ⋮ Semi-discrete and fully discrete HDG methods for Burgers' equation ⋮ An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces
Uses Software
Cites Work
- Analysis of a family of HDG methods for second order elliptic problems
- Hybridizable discontinuous Galerkin method (HDG) for Stokes interface flow
- A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces
- Stable generalized finite element method (SGFEM)
- A comparison of HDG methods for Stokes flow
- A hybridizable discontinuous Galerkin method for Stokes flow
- A finite element method for interface problems in domains with smooth boundaries and interfaces
- Some new a priori estimates for second-order elliptic and parabolic interface problems
- Immersed finite element method
- An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity
- High order matched interface and boundary methods for the Helmholtz equation in media with arbitrarily curved interfaces
- Optimal a priori estimates for higher order finite elements for elliptic interface problems
- The immersed interface method using a finite element formulation
- The immersed finite volume element methods for the elliptic interface problems
- A hybrid method for moving interface problems with application to the Hele-Shaw flow
- Finite element methods and their convergence for elliptic and parabolic interface problems
- Optimal a priori estimates for interface problems
- An unfitted discontinuous Galerkin method for elliptic interface problems
- Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- The design and analysis of the generalized finite element method
- A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations
- High-order extended finite element methods for solving interface problems
- A superconvergent HDG method for the Maxwell equations
- The generalized finite element method for Helmholtz equation: theory, computation, and open problems
- Extended hybridizable discontinous Galerkin (X-HDG) for void problems
- Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems
- The finite element method for elliptic equations with discontinuous coefficients
- Uniform a priori estimates for elliptic and static Maxwell interface problems
- Robusta posteriorierror estimates for HDG method for convection–diffusion equations
- BPX Preconditioner for Nonstandard Finite Element Methods for Diffusion Problems
- A high-order hybridizable discontinuous Galerkin method for elliptic interface problems
- Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates
- Optimal convergence analysis for the extended finite element method
- Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
- Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
- Analysis of HDG methods for Stokes flow
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- An unfitted hybridizable discontinuous Galerkin method for the Poisson interface problem and its error analysis
- An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems
- A finite element method for crack growth without remeshing
- An Unfitted hp-Interface Penalty Finite Element Method for Elliptic Interface Problems
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- Analysis of a Two-Level Algorithm for HDG Methods for Diffusion Problems
- Divergence-conforming HDG methods for Stokes flows
- The Immersed Interface Method
This page was built for publication: Extended HDG methods for second order elliptic interface problems