Preasymptotic error analysis of the HDG method for Helmholtz equation with large wave number
From MaRDI portal
Publication:831241
DOI10.1007/s10915-021-01473-4zbMath1471.65177OpenAlexW3155493545MaRDI QIDQ831241
Publication date: 11 May 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01473-4
postprocessingpenalty parameterdispersion analysishybridizable discontinuous Galerkin methodspreasymptotic error analysis
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves and radiation in optics and electromagnetic theory (78A40)
Related Items
A simple proof that the \textit{hp}-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation ⋮ Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?
Cites Work
- Unnamed Item
- Unnamed Item
- A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation
- Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation
- A pure source transfer domain decomposition method for Helmholtz equations in unbounded domain
- Finite element analysis of acoustic scattering
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- A least-squares method for the Helmholtz equation
- Uniform a priori estimates for elliptic problems with impedance boundary conditions
- General DG-methods for highly indefinite Helmholtz problems
- Stability estimates for a class of Helmholtz problems
- Linear continuous interior penalty finite element method for Helmholtz equation With High Wave Number: One-Dimensional Analysis
- Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number
- Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version
- A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number
- A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain
- Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
- ℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number
- Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
- Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
- Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
- Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains
- Convergence Analysis of a Discontinuous Galerkin Method with Plane Waves and Lagrange Multipliers for the Solution of Helmholtz Problems
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number
- A projection-based error analysis of HDG methods
- Radiation boundary conditions for acoustic and elastic wave calculations
- APPROXIMATION OF SCALAR WAVES IN THE SPACE-FREQUENCY DOMAIN
- Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
- Computational high frequency wave propagation
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number
- Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number
- An analysis of HDG methods for the Helmholtz equation
- The Mathematical Theory of Finite Element Methods
- SHARP REGULARITY COEFFICIENT ESTIMATES FOR COMPLEX-VALUED ACOUSTIC AND ELASTIC HELMHOLTZ EQUATIONS
- Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. Part I: linear version
- Postprocessing schemes for some mixed finite elements
