Discrete Differential Forms, Approximation of Eigenvalue Problems, and Application to the p Version of Edge Finite Elements

DOI10.1007/978-3-642-11795-4_1zbMATH Open1215.65172OpenAlexW1011908599MaRDI QIDQ3000106

Daniele Boffi

Publication date: 18 May 2011

Published in: Numerical Mathematics and Advanced Applications 2009 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11795-4_1

zbMATH Keywords

convergencefinite elementseigenvaluesde Rham complexdiscrete compactnessdiscrete differential formsexterior calculusHodge-Laplace operatorMaxwell's eigenvalues

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Elliptic equations on manifolds, general theory (58J05) de Rham theory in global analysis (58A12) Hodge theory in global analysis (58A14) Exterior differential systems (Cartan theory) (58A15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (1)

Approximation of eigenvalues in mixed form, discrete compactness property, and application to \(hp\) mixed finite elements

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