Efficient Time Integration of Maxwell's Equations with Generalized Finite Differences
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Publication:3452486
DOI10.1137/140988759zbMath1337.78013OpenAlexW2211334696WikidataQ109297714 ScholiaQ109297714MaRDI QIDQ3452486
Sanna Mönkölä, Jukka Räbinä, Tuomo Rossi
Publication date: 12 November 2015
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: http://urn.fi/URN:NBN:fi:jyu-201602041452
Maxwell's equationsmesh generationcrystal structurediscrete exterior calculusharmonic Hodge operatornonuniform time discretization
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Cites Work
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- Mimetic finite difference method
- Differential forms for scientists and engineers
- Mimetic discretizations for Maxwell's equations
- A perfectly matched layer for the absorption of electromagnetic waves
- An analysis of finite volume, finite element, and finite difference methods using some concepts from algebraic topology
- Asynchronous variational integrators
- Tiling space and slabs with acute tetrahedra.
- The optimal centroidal Voronoi tessellations and the Gersho's conjecture in the three-dimensional space
- On the degrees of freedom of lattice electrodynamics
- Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11--15, 2004.
- PyDEC
- Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Computational Geometry in C
- Yee-like schemes on a tetrahedral mesh, with diagonal lumping
- A Convergence Analysis of Yee’s Scheme on Nonuniform Grids
- Lattice electromagnetic theory from a topological viewpoint
- Weighted Triangulations for Geometry Processing
- Stability and numerical dispersion analysis of CE-FDTD method
- Space fullerenes: a computer search for new Frank–Kasper structures
- Finite Element Exterior Calculus for Evolution Problems
- From Calculus to Analysis
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