# applied math seminar

Event Type:

Seminar

Speaker:

Jehanzeb Hameed Chaudhry

Event Date:

Monday, April 1, 2019 -

3:30pm to 4:30pm

Location:

SMLC 356

Audience:

General PublicFaculty/StaffAlumni/Friends

Sponsor/s:

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