A reduced basis method for microwave semiconductor devices with geometric variations

DOI10.1108/COMPEL-12-2012-0377zbMath1358.78055OpenAlexW2015994127WikidataQ115224009 ScholiaQ115224009MaRDI QIDQ2970708

Martin W. Hess, Peter Benner

Publication date: 30 March 2017

Published in: COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/compel-12-2012-0377

zbMATH Keywords

Maxwell's equationsreduced basis methodelectromagnetic fieldsreduced-order method

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) Composite media; random media in optics and electromagnetic theory (78A48)

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Uses Software

• redbKIT

Cites Work

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• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• A reduced-order method for simulation and control of fluid flows
• Parameterised electromagnetic scattering solutions for a range of incident wave angles
• Generalized Reduced Basis Methods and n-Width Estimates for the Approximation of the Solution Manifold of Parametric PDEs
• A reduced basis method for microwave semiconductor devices with geometric variations
• Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
• Accelerated A Posteriori Error Estimation for the Reduced Basis Method with Application to 3D Electromagnetic Scattering Problems
• On the Error Behavior of the Reduced Basis Technique for Nonlinear Finite Element Approximations
• Finite elements in computational electromagnetism
• Improved successive constraint method baseda posteriorierror estimate for reduced basis approximation of 2D Maxwell's problem
• Estimation of the Error in the Reduced Basis Method Solution of Nonlinear Equations
• Finite Element Methods for Maxwell's Equations