scholarly journals An OcTree multigrid method for quasi‐static Maxwell's equations with highly discontinuous coefficients

2006 ◽  
Author(s):  
Eldad Haber ◽  
Stefan Heldmann
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Multigrid Method ◽  
Discontinuous Coefficients

An Improved Algebraic Multigrid Method for Solving Maxwell's Equations

2003 ◽  
Vol 25 (2) ◽  
pp. 623-642 ◽  
Author(s):  
Pavel B. Bochev ◽  
Christopher J. Garasi ◽  
Jonathan J. Hu ◽  
Allen C. Robinson ◽  
Raymond S. Tuminaro
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Multigrid Method ◽  
Algebraic Multigrid ◽  
Algebraic Multigrid Method

scholarly journals Asymptotic analysis of optimized Schwarz methods for maxwell’s equations with discontinuous coefficients

2018 ◽  
Vol 52 (6) ◽  
pp. 2457-2477
Author(s):  
Victorita Dolean ◽  
Martin J. Gander ◽  
Erwin Veneros
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Single Layer ◽  
Mesh Size ◽  
Discontinuous Coefficients ◽  
Potential Method ◽  
Transmission Conditions ◽  
Schwarz Methods ◽  
Layer Potential ◽  
Optimized Schwarz Methods

Discretized time harmonic Maxwell’s equations are hard to solve by iterative methods, and the best currently available methods are based on domain decomposition and optimized transmission conditions. Optimized Schwarz methods were the first ones to use such transmission conditions, and this approach turned out to be so fundamentally important that it has been rediscovered over the last years under the name sweeping preconditioners, source transfer, single layer potential method and the method of polarized traces. We show here how one can optimize transmission conditions to take benefit from the jumps in the coefficients of the problem, when they are aligned with the subdomain interface, and obtain methods which converge for two subdomains in certain situations independently of the mesh size, which would not be possible without jumps in the coefficients.

Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations

2006 ◽  
Vol 27 (5) ◽  
pp. 1669-1688 ◽  
Author(s):  
Jonathan J. Hu ◽  
Raymond S. Tuminaro ◽  
Pavel B. Bochev ◽  
Christopher J. Garasi ◽  
Allen C. Robinson
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Multigrid Method ◽  
Algebraic Multigrid ◽  
Algebraic Multigrid Method

Sumudu Applications to Maxwell's Equations

PIERS Online ◽  
2009 ◽  
Vol 5 (4) ◽  
pp. 355-360 ◽  
Author(s):  
Fethi Bin Muhammad Belgacem
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations
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