Back to Search
Start Over
Convergence of adaptive mixed interior penalty discontinuous Galerkin methods for [formula omitted]-elliptic problems.
- Source :
-
Computers & Mathematics with Applications . Sep2024, Vol. 170, p84-94. 11p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study the convergence of adaptive mixed interior penalty discontinuous Galerkin method for H (c u r l) -elliptic problems. We first get the mixed model of H (c u r l) -elliptic problem by introducing a new intermediate variable. Then we discuss the continuous variational problem and discrete variational problem, which based on interior penalty discontinuous Galerkin approximation. Next, we construct the corresponding posteriori error indicator, and prove the contraction of the summation of the energy error and the scaled error indicator. At last, we confirm and illustrate the theoretical result through some numerical experiments. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GALERKIN methods
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 170
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 178976211
- Full Text :
- https://doi.org/10.1016/j.camwa.2024.06.020