2 papers
math.NA2023
High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities
Robert C. Kirby, Daniel Shapero
Solutions to many important partial differential equations satisfy bounds constraints, but approximations computed by finite element or finite difference methods typically fail to…
cs.MS2023
Consistent Point Data Assimilation in Firedrake and Icepack
Reuben W. Nixon-Hill, Daniel Shapero, Colin J. Cotter +1
When estimating quantities and fields that are difficult to measure directly, such as the fluidity of ice, from point data sources, such as satellite altimetry, it is important to…