Non-conforming Galerkin finite element methods for local absorbing boundary conditions of higher order
From MaRDI portal
Publication:2006509
DOI10.1016/j.camwa.2015.08.034zbMath1443.65369OpenAlexW1766754973MaRDI QIDQ2006509
Christian Heier, Kersten Schmidt, Julien Diaz
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.08.034
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)
Related Items
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering, Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized impedance boundary conditions for thin dielectric coatings with variable thickness
- Approximate models for wave propagation across thin periodic interfaces
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- Non-reflecting boundary conditions
- Three-dimensional approximate local DtN boundary conditions for prolate spheroid boundaries
- Computation of the band structure of two-dimensional photonic crystals with \(hp\) finite elements
- Finite element analysis of acoustic scattering
- Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
- High-order boundary conditions and finite elements for infinite domains
- On the constants in \(hp\)-finite element trace inverse inequalities.
- Special finite elements for use with high-order boundary conditions
- High-order local non-reflecting boundary conditions: a review
- A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems
- High-order local absorbing conditions for the wave equation: Extensions and improvements
- Non-Reflecting Finite Element Schemes for Three-Dimensional Acoustic Waves
- On Generalized Ventcel's Type Boundary Conditions for Laplace Operator in a Bounded Domain
- Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
- Impedance boundary conditions for imperfectly conducting surfaces
- Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Concepts—An Object-Oriented Software Package for Partial Differential Equations
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- An analysis of Feng’s and other symmetric local absorbing boundary conditions
- A Unified Analysis of Transmission Conditions for Thin Conducting Sheets in the Time-Harmonic Eddy Current Model
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- Asymptotics for steady‐state voltage potentials in a bidimensional highly contrasted medium with thin layer
- The Effect of a Thin Coating on the Scattering of a Time-Harmonic Wave for the Helmholtz Equation
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
- GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING BY STRONGLY ABSORBING OBSTACLES: THE SCALAR CASE
- Boundary Element Methods
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- High-order nonreflecting boundary conditions without high-order derivatives
