Time discretization of parabolic problems by the discontinuous Galerkin method
Article Properties
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DOI (url)
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Publication Date1985/01/01
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Indian UGC (journal)
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Refrences6
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Citations128
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Kenneth Eriksson
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Claes Johnson
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Vidar Thomée
Journal Category
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| THOMÉE V., Galerkin Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, 1984.7440450528.65052 | ||||
| LUSKIN M. and RANNACHER R., On the smoothing property of the Galerkin method for parabolic equations SIAM J. Numer. Anal. 19, 93-113 (1981).6465960483.65064 | ||||
| JOHNSON C., On error estimates for numerical methods for stiff o.d.e's. Preprint, Department of Mathematics, University of Michigan, 1984. | ||||
| JAMET P., Galerkin-type approximations which are discontinuous in time for parabolic equations in a variable domain. SIAM J. Numer. Anal. 15, 912-928 (1978).5075540434.65091 | ||||
| DELFOUR M. C.,HAGER W.W. and TROCHU F., Discontinuous Galerkin methods for ordinary differential equations. Math. Comp. 36, 455-473 (1981).6065060469.65053 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Design and performance of a space–time virtual element method for the heat equation on prismatic meshes | Computer Methods in Applied Mechanics and Engineering |
| 1 | 2024 |
Error estimates for finite element discretizations of the instationary Navier–Stokes equations | ESAIM: Mathematical Modelling and Numerical Analysis |
| 2024 | |
Adaptation of the composite finite element framework for semilinear parabolic problems | Journal of Numerical Analysis and Approximation Theory |
| 2024 | |
| Discontinuous Galerkin Time Stepping for Semilinear Parabolic Problems with Time Constant Delay | Journal of Scientific Computing |
| 2023 | |
| A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space | Applied Mathematics and Computation |
| 2 | 2023 |
Citations Analysis
The category
Science: Mathematics 111
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Streamline diffusion methods for the incompressible Euler and Navier-Stokes equations and was published in 1986. The most recent citation comes from a 2024 study titled Adaptation of the composite finite element framework for semilinear parabolic problems. This article reached its peak citation in 2021, with 11 citations. It has been cited in 44 different journals, 4% of which are open access. Among related journals, the SIAM Journal on Numerical Analysis cited this research the most, with 25 citations. The chart below illustrates the annual citation trends for this article.