An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations
From MaRDI portal
Publication:1732416
DOI10.1016/j.camwa.2017.11.013zbMath1409.65088arXiv1711.05629OpenAlexW2769058721MaRDI QIDQ1732416
Marcella Bonazzoli, Francesca Rapetti, Victorita Dolean, Frederic Hecht
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.05629
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Maxwell equations (35Q61)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations
- High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality
- Mixed finite elements in \(\mathbb{R}^3\)
- Overlapping Schwarz methods for Maxwell's equations in three dimensions
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- Nédélec spaces in affine coordinates
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption
- Algebraic Multigrid for High-Order Hierarchical $H(curl)$ Finite Elements
- Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- An Introduction to Domain Decomposition Methods
- Optimized Multiplicative, Additive, and Restricted Additive Schwarz Preconditioning
- Optimized Schwarz Methods for Maxwell's Equations
- Whitney Forms of Higher Degree
- Canonical construction of finite elements
- Hierarchic finite element bases on unstructured tetrahedral meshes
- Finite Element Methods for Maxwell's Equations
- New development in freefem++
- An algebraic multigrid method for finite element discretizations with edge elements
- High order edge elements on simplicial meshes
- High order Nédélec elements with local complete sequence properties
This page was built for publication: An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations