Sponsor
This work was supported in part by NSF grant DMS-1912779
Published In
Mathematics of Computation
Document Type
Pre-Print
Publication Date
9-22-2021
Subjects
Hyperbolic functions, Wave equations, Boundary conditions, Asymptotic properties
Abstract
Finite element methods for symmetric linear hyperbolic systems using unstructured advancing fronts (satisfying a causality condition) are considered in this work. Convergence results and error bounds are obtained for mapped tent pitching schemes made with standard discontinuous Galerkin discretizations for spatial approximation on mapped tents. Techniques to study semidiscretization on mapped tents, design fully discrete schemes, prove local error bounds, prove stability on spacetime fronts, and bound error propagated through unstructured layers are developed.
Locate the Document
DOI
10.1090/mcom/3686
Persistent Identifier
https://archives.pdx.edu/ds/psu/37425
Citation Details
Published as: Drake, D., Gopalakrishnan, J., Schöberl, J., & Wintersteiger, C. (2022). Convergence analysis of some tent-based schemes for linear hyperbolic systems. Mathematics of Computation, 91(334), 699-733.
Description
This is the author’s version of a work. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document.