Caleb Logemann

Ph.D. Candidate

Department of Applied Mathematics
Iowa State University

• About Me
• Curriculum Vitae
• Teaching
• Software
• Research
• Home

• Discontinuous Galerkin Methods
• Shallow Water Equations
• Thin Film Equations
• Error Approximation
• Uncertaintity Quantification

• During the summer of 2019, I had an internship at Sandia National Labs under the direction of Travis Fisher. For this internship we researched an a posteriori error estimation technique using the Defect Correction method for Summation by Parts Operators.
• During the summer of 2017, I was the graduate mentor for an undergraduate research group (REU) funded by the NSF. This group studied a Locally-Implicit Lax-Wendroff Discontinuous Galerkin method. In particular, we researched positivity-preserving schemes for conservation laws under this method.

• An Implicit-Explicit Discontinuous Galerkin Scheme using a Newton-Free Picard Iteration for a Thin-Film Model , In Preparation. (with J. Rossmanith).
• A Discontinuous Galerkin Method for Generalized Shallow Water equations on the Sphere, In Preparation (with J. Rossmanith).
• A Positivity-Preserving Limiting Strategy for Locally-Implicit Lax-Wendroff Discontinuous Galerkin Methods
(with C. Felton, M. Harris, S. Nelson, I. Pelakh, and J. Rossmanith).