Discontinuous Galerkin Methods

A special issue of Mathematical and Computational Applications (ISSN 2297-8747).

Deadline for manuscript submissions: closed (15 November 2022) | Viewed by 2776

Special Issue Editor


E-Mail Website
Guest Editor
Department of Mathematics, Chinese University of Hong Kong, Hong Kong, China
Interests: discontinuous Galerkin methods; computational wave propagation; fluid flow in heterogeneous media; multiscale model reduction techniques; adaptivity for multiscale problems; domain decomposition methods; data-driven computational methods; numerical upscaling
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Discontinuous Galerkin methods are widely employed in computational science and engineering fields, as they offer accurate and efficient simulations. The development, analysis and applications of discontinuous Galerkin methods have thus stimulated significant research. This Special Issue aims to create a platform for papers for the exchange of knowledge on all aspects of discontinuous Galerkin methods.

This Special Issue will present the latest scientific advances, reviews, communications, and short notes considering discontinuous Galerkin methods.

Prof. Dr. Eric Chung
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematical and Computational Applications is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue polices can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

21 pages, 4106 KiB  
Article
An Adaptive in Space, Stabilized Finite Element Method via Residual Minimization for Linear and Nonlinear Unsteady Advection–Diffusion–Reaction Equations
by Juan F. Giraldo and Victor M. Calo
Math. Comput. Appl. 2023, 28(1), 7; https://doi.org/10.3390/mca28010007 - 6 Jan 2023
Cited by 3 | Viewed by 1798
Abstract
We construct a stabilized finite element method for linear and nonlinear unsteady advection–diffusion–reaction equations using the method of lines. We propose a residual minimization strategy that uses an ad-hoc modified discrete system that couples a time-marching schema and a semi-discrete discontinuous Galerkin formulation [...] Read more.
We construct a stabilized finite element method for linear and nonlinear unsteady advection–diffusion–reaction equations using the method of lines. We propose a residual minimization strategy that uses an ad-hoc modified discrete system that couples a time-marching schema and a semi-discrete discontinuous Galerkin formulation in space. This combination delivers a stable continuous solution and an on-the-fly error estimate that robustly guides adaptivity at every discrete time. We show the performance of advection-dominated problems to demonstrate stability in the solution and efficiency in the adaptivity strategy. We also present the method’s robustness in the nonlinear Bratu equation in two dimensions. Full article
(This article belongs to the Special Issue Discontinuous Galerkin Methods)
Show Figures

Figure 1

Back to TopTop