Stabilized interior penalty methods for the time-harmonic Maxwell equations.
DOI10.1016/S0045-7825(02)00399-7zbMath1040.78011OpenAlexW2067527388MaRDI QIDQ1867611
Dominik Schötzau, Peter B. Monk, Ilaria Perugia
Publication date: 2 April 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00399-7
Finite elementsDiscontinuous Galerkin methodsInterior penalty methodsTime-harmonic Maxwell's equations
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Finite element approximation of the Navier-Stokes equations
- Mixed finite elements in \(\mathbb{R}^3\)
- A finite element method for approximating the time-harmonic Maxwell equations
- A discontinuous \(hp\) finite element method for diffusion problems
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- Fortin operator and discrete compactness for edge elements
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- \(hp\)-adaptive finite elements in electromagnetics
- Singularities of electromagnetic fields in polyhedral domains
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- A priori error estimate for the Baumann–Oden version of the discontinuous Galerkin method
- A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines
- Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
- An Interior Penalty Finite Element Method with Discontinuous Elements
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Finite Element Methods for Elliptic Equations Using Nonconforming Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Vector potentials in three-dimensional non-smooth domains
- An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Canonical construction of finite elements
- Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
- On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Local Discontinuous Galerkin Methods for the Stokes System
- The mortar method for the Maxwell's equations in 3D
This page was built for publication: Stabilized interior penalty methods for the time-harmonic Maxwell equations.