ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics

DOI10.1007/978-3-319-58786-8_9zbMath1388.78019arXiv1606.06206OpenAlexW2468426944MaRDI QIDQ4637155

Andreas Buhr, Christian Engwer, Stephan Rave, Mario Ohlberger

Publication date: 18 April 2018

Published in: Model Reduction of Parametrized Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06206

zbMATH Keywords

reduced order modeltime harmonic Maxwell's equationsfinite element based simulation software

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Integro-partial differential equations (35R09) Model reduction in optics and electromagnetic theory (78M34)

Related Items

A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs

Uses Software

• pyMOR

Cites Work

• Generalized multiscale finite element methods (GMsFEM)
• The reduced basis method for the electric field integral equation
• A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks
• Mixed finite elements in \(\mathbb{R}^3\)
• The design and analysis of the generalized finite element method
• A Dirichlet-Neumann reduced basis method for homogeneous domain decomposition problems
• pyMOR -- Generic Algorithms and Interfaces for Model Order Reduction
• A Static condensation Reduced Basis Element method : approximation anda posteriorierror estimation
• Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
• Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
• A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction
• 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
• Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment
• Finite Element Methods for Maxwell's Equations
• ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications
• Double greedy algorithms: Reduced basis methods for transport dominated problems
• A reduced-basis element method