Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F22%3A00556736" target="_blank" >RIV/68145535:_____/22:00556736 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/22:10249788 RIV/61989100:27240/22:10249788
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007/s11075-022-01281-3.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007/s11075-022-01281-3.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11075-022-01281-3" target="_blank" >10.1007/s11075-022-01281-3</a>

Result language
angličtina
Original language name
Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities
Original language description
The unpreconditioned hybrid domain decomposition method was recently shown to be a competitive solver for linear elliptic PDE problems discretized by structured grids. Here, we plug H-TFETI-DP (hybrid total finite element tearing and interconnecting dual primal) method into the solution of huge boundary elliptic variational inequalities. We decompose the domain into subdomains that are discretized and then interconnected partly by Lagrange multipliers and partly by edge averages. After eliminating the primal variables, we get a quadratic programming problem with a well-conditioned Hessian and bound and equality constraints that is effectively solvable by specialized algorithms. We prove that the procedure enjoys optimal, i.e., asymptotically linear complexity. The analysis uses recently established bounds on the spectrum of the Schur complements of the clusters interconnected by edge/face averages. The results extend the scope of scalability of massively parallel algorithms for the solution of variational inequalities and show the outstanding efficiency of the H-TFETI-DP coarse grid split between the primal and dual variables.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)