Foreword: Discontinuous Galerkin methods for partial differential equations

DOI10.1007/s10915-009-9298-9zbMath1203.65005OpenAlexW3201183192MaRDI QIDQ618467

No author found.

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9298-9

Mathematics Subject Classification ID

Proceedings, conferences, collections, etc. pertaining to numerical analysis (65-06) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments ⋮ High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids ⋮ Discontinuous Galerkin via interpolation: the direct flux reconstruction method ⋮ A high-order flux reconstruction method for 3D mixed overset meshes ⋮ An improved superconvergence error estimate for the LDG method ⋮ On high-order accurate weighted essentially non-oscillatory and discontinuous Galerkin schemes for compressible turbulence simulations ⋮ Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods ⋮ Optimal error estimates of the local discontinuous Galerkin method for surface diffusion of graphs on Cartesian meshes ⋮ On explicit discontinuous Galerkin methods for conservation laws

Cites Work

• Uniformly convergent iterative methods for discontinuous Galerkin discretizations
• A posteriori error control for a weakly over-penalized symmetric interior penalty method
• Nonconforming Maxwell eigensolvers
• The mortar-discontinuous Galerkin method for the 2D Maxwell eigenproblem
• A hybridizable and superconvergent discontinuous Galerkin method for biharmonic problems
• An equal-order DG method for the incompressible Navier-Stokes equations
• Fully discrete analysis of a discontinuous finite element method for the keller-segel chemotaxis model
• Optimal error estimates for the fully discrete interior penalty DG method for the wave equation
• Sub-optimal convergence of non-symmetric discontinuous Galerkin methods for odd polynomial approximations
• A mixed DG method for linearized incompressible magnetohydrodynamics
• A performance comparison of continuous and discontinuous finite element shallow water models
• A-posteriori error estimates for discontinuous Galerkin approximations of second order elliptic problems
• The WKB local discontinuous Galerkin method for the simulation of Schrödinger equation in a resonant tunneling diode
• Local discontinuous Galerkin method for surface diffusion and Willmore flow of graphs
• Application of discontinuous Galerkin methods for reaction-diffusion systems in developmental biology
• Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24--26, 1999

This page was built for publication: Foreword: Discontinuous Galerkin methods for partial differential equations