Discrete Electromagnetism with Shape Forms of Higher Polynomial Degree

DOI10.1007/978-3-642-25670-7_2zbMath1250.78011OpenAlexW181360258MaRDI QIDQ2902581

Marvin Fleck, Sergej Rjasanow

Publication date: 21 August 2012

Published in: Fast Boundary Element Methods in Engineering and Industrial Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-25670-7_2

zbMATH Keywords

Hodge operatorWhitney elementsdiscrete electromagnetismmagneto(quasi)static formulation of Maxwell's equations

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Hodge theory in global analysis (58A14) Electro- and magnetostatics (78A30) Maxwell equations (35Q61)

Cites Work

• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Mixed finite elements in \(\mathbb{R}^3\)
• de Rham diagram for \(hp\) finite element spaces
• Monotonicity-preserving interproximation of \(B\)-\(H\)-curves
• de Rham currents in discrete electromagnetism
• Analysis of a Fully Discrete Finite Element Method for a Nonlinear Magnetic Field Problem
• Identification of nonlinear B–H curves based on magnetic field computations and multigrid methods for ill-posed problems
• High order Nédélec elements with local complete sequence properties
• Discrete Hodge operators
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