A Numerical Study of a Stabilized Hyperbolic Equation Inspired by Models for Bio-Polymerization-Reference-Cited by-同舟云学术

A Numerical Study of a Stabilized Hyperbolic Equation Inspired by Models for Bio-Polymerization

Published:2024-03-26 Issue: Volume: Page:
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:en
Short-container-title:

Author:

Davis Lisa¹,Neda Monika²,Pahlevani Faranak³,Reyes Jorge⁴^ORCID,Waters Jiajia⁵

Affiliation:

1. Department of Mathematical Sciences , [ 33052]Montana State University, Bozeman , MT 59717 , USA

2. Department of Mathematical Sciences , [ 14722]University of Nevada Las Vegas, Las Vegas , NV 89154 , USA

3. Division of Science & Engineering , [ 43293]Penn State University Abington, Abington , PA 19001 , USA

4. Department of Mathematics , [ 1757]Virginia Tech, Blacksburg , VA 24061 , USA

5. [ 5112]Los Alamos National Laboratory, Los Alamos , USA

Abstract

Abstract This report investigates a stabilization method for first order hyperbolic differential equations applied to DNA transcription modeling. It is known that the usual unstabilized finite element method contains spurious oscillations for nonsmooth solutions. To stabilize the finite element method the authors consider adding to the first order hyperbolic differential system a stabilization term in space and time filtering. Numerical analysis of the stabilized finite element algorithms and computations describing a few biological settings are studied herein.

Funder

National Science Foundation

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/cmam-2023-0222/pdf

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