The value of continuity: Refined isogeometric analysis and fast direct solvers
Sign Up to like & getrecommendations! Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2016.08.017
Abstract: Abstract We propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) discretization, we introduce C… read more here.
Keywords: refined isogeometric; highly continuous; continuity; isogeometric analysis ... See more keywords
Fast Direct Solvers With Arbitrary Admissibility Using Generalized Source Integral Equations
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2024.3420119
Abstract: A hierarchical- (or $\mathcal {H}$ -) matrix fast direct solver, utilizing a generalized source integral equation (IE) for essentially convex scatterers, that is suitable for both strong and weak admissibility settings, is presented. The IE… read more here.
Keywords: admissibility; generalized source; direct solvers; source ... See more keywords
Auto-Gauging of Vector Potential by Parallel Sparse Direct Solvers—Numerical Observations
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Magnetics"
DOI: 10.1109/tmag.2019.2892868
Abstract: When using magnetic vector potential (MVP)-based formulations for magnetostatic or eddy-current problems, either gauge conditions specifying the divergence of the MVP or tree gauging by eliminating redundant degrees of freedom of the MVP is usually… read more here.
Keywords: direct solvers; vector potential; sparse direct; parallel sparse ... See more keywords