Applied Mathematics Seminar, Mathematics Department, University of Utah

Mondays 4:00 PM - 5:00 PM MT (unless otherwise noted) in LCB 222 (unless otherwise indicated)

Please direct questions or comments about the seminar to Will Feldman (feldman (at) math.utah.edu), Victoria Kala (victoria.kala (at) utah.edu), or Akil Narayan (akil (at) sci.utah.edu)
Talks are announced through the applied-math mailing list. Please ask the seminar organizers for information about how to subscribe to this list.

Monday, August 25 at 4pm. In-person LCB 222
Speaker: Amy de Castro
Department of Mathematics, University of Utah
Title: Reduced order modeling and Lagrange multiplier methods for the solution of coupled multiphysics problems
Abstract: We present a strongly coupled partitioned method for the solution of coupled PDEs based on a well-posed monolithic formulation of the system which employs one or more Lagrange multipliers (LMs) representing interfacial flux quantities. The partitioned scheme is centered around a Schur complement equation, whose solution at each time step allows for the decoupling of the respective subproblems, making the method non-iterative between subdomains.

To increase computational efficiency, projection-based reduced order models (ROMs) are introduced into one or both subdomains. The coupling of ROMs to full order models or to other ROMs introduces added complexities with regards to the non-singularity of the Schur complements and stability of the reduced models. We examine this partitioned method with respect to a model advection-diffusion problem and fluid interaction problems with either linear elastic or poroelastic structures. In each case, numerical results support our analysis and illustrate the theoretical and computational properties of the partitioned scheme with both reproductive and predictive tests over a range of ROM and FOM couplings.

Tuesday, September 16 at 4pm. In-person LCB 222
Speaker: Will Feldman
Department of Mathematics, University of Utah
Title: TBA
Abstract: TBA

Tuesday, September 23 at 4pm. In-person location TBA
Speaker: Anna Little
Department of Mathematics, University of Utah
Title: TBA
Abstract: TBA

Monday, September 29 at 4pm. In-person LCB 222
Speaker: Bao Wang
Department of Mathematics, University of Utah
Title: TBA
Abstract: TBA

Monday, October 20 at 4pm. In-person LCB 222
Speaker: Philip de Castro
Department of Mathematics, University of Utah
Title: TBA
Abstract: TBA

Wednesday, October 22 at 4pm. In-person LCB 323 (Part of a Distinguished Lecture Series)
Speaker: J. Nathan Kutz
Department of Applied Mathematics, University of Washington
Title: TBA
Abstract: TBA

Monday, November 17 at 4pm. In-person LCB 222
Speaker: Likhit Ganedi
Department of Mathematics, University of Utah
Title: TBA
Abstract: TBA

Seminar organizers: Will Feldman (feldman (at) math.utah.edu), Victoria Kala (victoria.kala (at) utah.edu), and Akil Narayan (akil (at) sci.utah.edu).

Past lectures: Spring 2025, Fall 2024, Spring 2024, Fall 2023, Spring 2023, Fall 2022, Spring 2022, Fall 2021, Spring 2021, Fall 2020, Spring 2020, Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017, Spring 2017, Fall 2016, Spring 2016, Fall 2015, Spring 2015, Fall 2014, Spring 2014, Fall 2013, Spring 2013, Fall 2012, Spring 2012, Fall 2011, Spring 2011, Fall 2010, Spring 2010, Fall 2009, Spring 2009, Fall 2008, Spring 2008, Fall 2007, Spring 2007, Fall 2006, Spring 2006, Fall 2005, Spring 2005, Fall 2004, Spring 2004, Fall 2003, Spring 2003, Fall 2002, Spring 2002, Fall 2001, Spring 2001, Fall 2000, Spring 2000, Fall 1999, Spring 1999, Fall 1998, Spring 1998, Winter 1998, Fall 1997, Spring 1997, Winter 1997, Fall 1996, Spring 1996, Winter 1996, Fall 1995.