Computers and Mathematics with Applications
Adaptivity -- computational studies
We perform a follow-up computational study of the recently proposed space–time first order system least squares ( FOSLS ) method subject to constraints referred to as CFOSLS where we now combine it with the new capability we have developed, namely, parallel adaptive mesh refinement (AMR) in 4D. The AMR is needed to alleviate the high memory demand in the combined space time domain and also allows general (4D) meshes that better follow the physics in space–time. With an extensive set of computational experiments, performed in parallel, we demonstrate the feasibility of the combined space–time AMR approach in both two space plus time and three space plus time dimensions.
©2020 The Author(s). Published by Elsevier Ltd.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Locate the Document
Schafelner, A., & Vassilevski, P. S. (2020). Numerical results for adaptive (negative norm) constrained first order system least squares formulations. Computers & Mathematics with Applications.