Structure-preserving mesh coupling based on the Buffa-Christiansen complex

DOI10.1090/mcom/3121zbMath1359.78020arXiv1602.04385OpenAlexW2281066793MaRDI QIDQ2953196

L. Kettunen, Ossi Niemimäki, Stefan Kurz

Publication date: 4 January 2017

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04385

zbMATH Keywords

Maxwell's equationsde Rham complexWhitney elementsBuffa-Christiansen complex

Mathematics Subject Classification ID

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) de Rham cohomology and algebraic geometry (14F40)

Related Items (1)

High Order Geometric Methods With Splines: An Analysis of Discrete Hodge-Star Operators

Uses Software

• CGS
• PANG
• LehrFEM

Cites Work

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• Differential Forms and Boundary Integral Equations for Maxwell-Type Problems
• Algorithm 932
• Finite element exterior calculus: from Hodge theory to numerical stability
• A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations
• Basics and some applications of the mortar element method
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• A Comparison of Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations
• The Mortar Edge Element Method in Three Dimensions: Application to Magnetostatics
• Calculation of eddy currents in moving structures using a finite element method on non‐matching grids
• The Mortar Finite Element Method for 3D Maxwell Equations: First Results
• Spectral Methods
• A Multiplicative Calderon Preconditioner for the Electric Field Integral Equation
• A dual finite element complex on the barycentric refinement

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