A broken FEEC framework for electromagnetic problems on mapped multipatch domains
DOI10.1007/s10915-023-02351-xzbMath1528.65071arXiv2208.05238OpenAlexW4387568651MaRDI QIDQ6084625
Yaman Güçlü, Said Hadjout, Martin Campos Pinto
Publication date: 6 November 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.05238
compatible discretizationfinite element exterior calculuselectromagnetic simulationbroken spacesmapped multipatch geometry
Numerical computation using splines (65D07) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) de Rham theory in global analysis (58A12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electromagnetic theory (general) (78A25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Electro- and magnetostatics (78A30) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Constructing exact sequences on non-conforming discrete spaces
- Exact charge-conserving scatter-gather algorithm for particle-in-cell simulations on unstructured grids: a geometric perspective
- High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality
- Isogeometric analysis in electromagnetics: B-splines approximation
- Handling the divergence constraints in Maxwell and Vlasov-Maxwell simulations
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Mixed finite elements in \(\mathbb{R}^3\)
- Mimetic discretizations for Maxwell's equations
- Mathematical foundations of computational electromagnetism
- MHD-kinetic hybrid code based on structure-preserving finite elements with particles-in-cell
- Variational framework for structure-preserving electromagnetic particle-in-cell methods
- Structure-preserving vs. standard particle-in-cell methods: the case of an electron hybrid model
- Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis
- Virtual element approximation of 2D magnetostatic problems
- An analysis of Nédélec's method for the spatial discretization of Maxwell's equations
- Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$
- Finite element approximation of eigenvalue problems
- A Conservative Spectral Element Method for Curvilinear Domains
- Edge Functions for Spectral Element Methods
- Isogeometric Discrete Differential Forms in Three Dimensions
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- Finite element exterior calculus: from Hodge theory to numerical stability
- Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
- On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
- Mathematical analysis of variational isogeometric methods
- Electromagnetic Theory and Computation
- Mixed Finite Element Methods and Applications
- Compatible Maxwell solvers with particles I: conforming and non-conforming 2D schemes with a strong Ampere law
- Compatible Maxwell solvers with particles II: conforming and non-conforming 2D schemes with a strong Faraday law
- Approximation estimates for isogeometric spaces in multipatch geometries
- Gauss-compatible Galerkin schemes for time-dependent Maxwell equations
- Geometric Particle-in-Cell Simulations of the Vlasov--Maxwell System in Curvilinear Coordinates
- Discrete Hodge operators
This page was built for publication: A broken FEEC framework for electromagnetic problems on mapped multipatch domains
