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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations Volume 4 (Theory and Implementation) || 4. Parabolic Problems with Convection

✍ Scribed by Rivière, Béatrice

Book ID
115544065
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Weight
471 KB
Category
Article
ISBN
0898717442

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Discontinuous Galerkin Methods for Solvi
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations Volume 4 (Theory and Implementation) || 4. Parabolic Problems with Convection
✍ Rivière, Béatrice 📂 Article 📅 2008 🏛 Society for Industrial and Applied Mathematics ⚖ 471 KB

This chapter deals with the transport equation, i.e., a parabolic equation with a convective term. Issues such as slope limiting for overshoot and undershoot phenomena may arise if the convective term dominates the diffusive term.

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✍ Béatrice Rivière 📂 Library 📅 2008 🏛 Society for Industrial and Applied Mathematics, So 🌐 English ⚖ 3 MB

Discontinuous Galerkin (DG) methods for solving partial differential equations, developed in the late 1990s, have become popular among computational scientists. This book covers both theory and computation as it focuses on three primal DG methods--the symmetric interior penalty Galerkin, incomplete