applied math seminar

Event Type: 
Jehanzeb Hameed Chaudhry
Event Date: 
Monday, April 1, 2019 -
3:30pm to 4:30pm
SMLC 356
General PublicFaculty/StaffAlumni/Friends
Pavel Lushnikov

Event Description: 

Title: A posteriori Error Estimation of Schwarz Domain Decomposition Methods
Abstract: Domain decomposition methods are widely used for the numerical solution of partial differential equations on parallel computers. This work forms an error analysis for the overlapping multiplicative and additive Schwarz domain decomposition methods  by employing tools from variational analysis, adjoint operators and computable residuals. The error is decomposed into a component arising due to finite iteration between the subdomains and a component due to discretization of each spatial subdomain. Moreover, the error estimate accounts for errors arising from each subdomain and hence guides in the choice of discretization employed to reduce the error in the solution.

Event Contact

Contact Name: Pavel Lushnikov