Constructing exact sequences on non-conforming discrete spaces

DOI10.1016/j.crma.2016.03.008zbMath1338.65241OpenAlexW4302087717MaRDI QIDQ292519

Martin Campos Pinto

Publication date: 8 June 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.03.008

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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Maxwell equations (35Q61)

Related Items (4)

Moment preserving local spline projection operators ⋮ A broken FEEC framework for electromagnetic problems on mapped multipatch domains ⋮ 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

Cites Work

• Handling the divergence constraints in Maxwell and Vlasov-Maxwell simulations
• Mixed finite elements in \(\mathbb{R}^3\)
• Approximation variationnelle des problèmes aux limites
• Finite elements in computational electromagnetism
• Finite element exterior calculus: from Hodge theory to numerical stability
• Mixed Finite Element Methods and Applications
• Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
• Gauss-compatible Galerkin schemes for time-dependent Maxwell equations
• A note on the de Rham complex and a discrete compactness property
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