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2016

A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains

4 years 3 months ago
A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains
A bound is obtained for the condition number of a BDDC algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be uniform in the sense of Peter Jones. For the primal variable space, a continuity constraint for the tangential average over each interior subdomain edge is imposed. For the averaging operator, a new technique named deluxe scaling is used. Our bound is independent of jumps in the coefficients across the interface between the subdomains and depends only on a few geometric parameters of the decomposition. Numerical results that verify the result are shown, including some with subdomains with fractal edges and others obtained by a mesh partitioner. Key words. domain decomposition, BDDC preconditioner, irregular subdomain boundaries, H(curl), Maxwell’s equations, discontinuous coefficients, preconditioners AMS subject classifications. 35Q60, 65F10, 65N30, 65N55
Juan G. Calvo
Added 08 Apr 2016
Updated 08 Apr 2016
Type Journal
Year 2016
Where MOC
Authors Juan G. Calvo
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