3 papers
math.NA2023
Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes
Tomas Lundquist, Andrew Winters, Jan Nordström
We extend the construction of so-called encapsulated global summation-by-parts operators to the general case of a mesh which is not boundary conforming. Owing to this development,…
math.NA2023
A method-of-lines framework for energy stable arbitrary Lagrangian-Eulerian methods
Tomas Lundquist, Arnaud Malan, Jan Nordström
We present a novel framework based on semi-bounded spatial operators for analyzing and discretizing initial boundary value problems on moving and deforming domains. This developmen…
math.NA2020
On some stable boundary closures of finite difference schemes for the transport equation
Jean-François Coulombel, Tomas Lundquist
We explore in this article the possibilities and limitations of the so-called energy method for analyzing the stability of finite difference approximations to the transport equatio…