A goal-oriented anisotropic hp-mesh adaptation method for linear convection–diffusion–reaction problems
Publication
, Journal Article
Bartoš, O; Dolejší, V; May, G; Rangarajan, A; Roskovec, F
Published in: Computers and Mathematics with Applications
November 1, 2019
We deal with the numerical solution of linear convection–diffusion–reaction equations using the hp-variant of the discontinuous Galerkin method on triangular grids. We develop a mesh adaptive algorithm which modifies the size and shape of mesh elements and the corresponding polynomial approximation degrees in order to decrease the error in a target functional under the given tolerance. We recall some theoretical results and describe in detail several technical aspects of this approach. Numerical experiments demonstrating the accuracy, efficiency and robustness of the algorithm are presented.
Duke Scholars
Published In
Computers and Mathematics with Applications
DOI
ISSN
0898-1221
Publication Date
November 1, 2019
Volume
78
Issue
9
Start / End Page
2973 / 2993
Related Subject Headings
- Numerical & Computational Mathematics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 35 Commerce, management, tourism and services
- 15 Commerce, Management, Tourism and Services
- 08 Information and Computing Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Bartoš, O., Dolejší, V., May, G., Rangarajan, A., & Roskovec, F. (2019). A goal-oriented anisotropic hp-mesh adaptation method for linear convection–diffusion–reaction problems. Computers and Mathematics with Applications, 78(9), 2973–2993. https://doi.org/10.1016/j.camwa.2019.03.046
Bartoš, O., V. Dolejší, G. May, A. Rangarajan, and F. Roskovec. “A goal-oriented anisotropic hp-mesh adaptation method for linear convection–diffusion–reaction problems.” Computers and Mathematics with Applications 78, no. 9 (November 1, 2019): 2973–93. https://doi.org/10.1016/j.camwa.2019.03.046.
Bartoš O, Dolejší V, May G, Rangarajan A, Roskovec F. A goal-oriented anisotropic hp-mesh adaptation method for linear convection–diffusion–reaction problems. Computers and Mathematics with Applications. 2019 Nov 1;78(9):2973–93.
Bartoš, O., et al. “A goal-oriented anisotropic hp-mesh adaptation method for linear convection–diffusion–reaction problems.” Computers and Mathematics with Applications, vol. 78, no. 9, Nov. 2019, pp. 2973–93. Scopus, doi:10.1016/j.camwa.2019.03.046.
Bartoš O, Dolejší V, May G, Rangarajan A, Roskovec F. A goal-oriented anisotropic hp-mesh adaptation method for linear convection–diffusion–reaction problems. Computers and Mathematics with Applications. 2019 Nov 1;78(9):2973–2993.
Published In
Computers and Mathematics with Applications
DOI
ISSN
0898-1221
Publication Date
November 1, 2019
Volume
78
Issue
9
Start / End Page
2973 / 2993
Related Subject Headings
- Numerical & Computational Mathematics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 35 Commerce, management, tourism and services
- 15 Commerce, Management, Tourism and Services
- 08 Information and Computing Sciences
- 01 Mathematical Sciences