High-order transmission conditions in a domain decomposition method for the time-harmonic Maxwell's equations in inhomogeneous media
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Publication:2000442
DOI10.1016/j.jcp.2018.06.050zbMath1415.65274OpenAlexW2809097039MaRDI QIDQ2000442
Mathieu Chanaud, Bruno Stupfel
Publication date: 28 June 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.06.050
finite elementsintegral representationiterative methodMaxwell's equationsdomain decomposition method
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Parallel numerical computation (65Y05)
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Cites Work
- Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations
- A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations
- One-way domain decomposition method with exact radiation condition and fast GMRES solver for the solution of Maxwell's equations
- Non-conformal domain decomposition method with second-order transmission conditions for time-harmonic electromagnetics
- Approximation of boundary element matrices
- A domain decomposition approach for non-conformal couplings between finite and boundary elements for unbounded electromagnetic problems in \(\mathbb R^{3}\)
- Improved transmission conditions for a one-dimensional domain decomposition method applied to the solution of the Helmholtz equation
- Optimized Schwarz Methods for Maxwell's Equations
- A Novel Multitrace Boundary Integral Equation Formulation for Electromagnetic Cavity Scattering Problems
- Implementation of High-Order Impedance Boundary Conditions in Some Integral Equation Formulations
- A Domain Decomposition Method for the Solution of Large Electromagnetic Scattering Problems
- A domain decomposition method for the vector wave equation
- A Symmetric FEM-IE Formulation With a Single-Level IE-QR Algorithm for Solving Electromagnetic Radiation and Scattering Problems
- On the Variational Formulation of Hybrid Finite Element-Boundary Integral Techniques for Electromagnetic Analysis
- Parallel Domain-Decomposition-Based Algorithm of Hybrid FE-BI-MLFMA Method for 3-D Scattering by Large Inhomogeneous Objects
- One-Way Domain Decomposition Method With Adaptive Absorbing Boundary Condition for the Solution of Maxwell's Equations
- An Accurate and Efficient Finite Element-Boundary Integral Method With GPU Acceleration for 3-D Electromagnetic Analysis
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- A hybrid finite element and integral equation domain decomposition method for the solution of the 3-D scattering problem
- PaStiX: A high-performance parallel direct solver for sparse symmetric positive definite systems