A Discontinuous Galerkin Method Applied to Nonlinear Parabolic Equations

By Beatrice M. Riviere, Mary F. Wheeler. 2000

128 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/c730756a00847d2f60a590a72b91ec5e24faf20e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Bernardo Cockburn
2. Dominik Schötzau
3. L. Donatella Marini
4. Miloslav Feistauer
5. Vít Dolejsí
6. Franco Brezzi
7. Shuyu Sun
8. Douglas N. Arnold

In Computational Theory and Mathematics

1. Bernardo Cockburn
2. L. Donatella Marini
3. Franco Brezzi
4. Douglas N. Arnold
5. Jiri Hozman
6. Dominik Schötzau
7. Shuyu Sun
8. Ilaria Perugia

In Electrical and Electronic Engineering

1. Dominik Schötzau
2. Bernardo Cockburn
3. Shuyu Sun
4. Franco Brezzi
5. L. Donatella Marini
6. Douglas N. Arnold
7. Ilaria Perugia
8. Miloslav Feistauer

Citations in the corpus

• Analysis of semi-implicit DGFEM for nonlinear convection–diffusion problems on nonconforming meshes ☆ (2007, background): “, [1], [3], [5], [4], [7], [14], [15], [16], [19], [23], [24], [25], [27], [29], [31].”
• On the discontinuous Galerkin method for the numerical solution of the Navier–Stokes equations (2004, background): “The nonsymmetric variant of DGFEM with interior and boundary penalty terms was analyzed in [31] for elliptic problems and in [14] we extended this analysis to nonlinear convection-diffusion problems.”
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems (2000, methodology): “Rivière, Wheeler, and Girault [35] and Rivière and Wheeler [34] analyzed several variations of the DG method of Baumann and Oden (involving interior penalty techniques) as applied to nonlinear convection-diffusion problems and, finally, Süli, Schwab, and Houston [38] synthesized the self-adjoint ell”
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (2001, methodology): “Thus Brezzi et al. [22], [23] studied several variations of the original method of Bassi and Rebay; Oden, Babuška, and Baumann [59] studied the DG method of Baumann and Oden; Rivière and Wheeler [63] and Rivière, Wheeler, and Girault [64] analyzed several variations of the DG method of Baumann an”
• Error Estimates of the Discontinuous Galerkin Method for Nonlinear Nonstationary Convection-Diffusion Problems (2005, background): “Some aspects of the DGFEM are investigated, for example, in [1, 5, 6, 12, 14, 16, 19, 26, 28, 31, 33].”
• Discontinuous Galerkin methods for reactive transport in porous media (2003, background): “In 1999 and 2000, Rivière et al [71, 74, 75, 78] introduced a variation of the OBB formulation by adding interior penalty terms to the non-symmetric formulation, i.”