Title | Discontinuous Galerkin Methods [electronic resource] : Theory, Computation and Applications / edited by Bernardo Cockburn, George E. Karniadakis, Chi-Wang Shu |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2000 |
Connect to | http://dx.doi.org/10.1007/978-3-642-59721-3 |
Descript | XI, 470 p. online resource |
I Overview -- The Development of Discontinuous Galerkin Methods -- II Invited Papers -- Steps Toward a Robust High-Order Simulation Tool for Aerospace Applications -- Simplified Discontinuous Galerkin Methods for Systems of Conservation Laws with Convex Extension -- A High Order Discontinuous Galerkin Method for Compressible Turbulent Flows -- Discontinuous Galerkin Methods for Elliptic Problems -- Analysis of Finite Element Methods for Linear Hyperbolic Problems -- Software for the Parallel Adaptive Solution of Conservation Laws by Discontinuous Galerkin Methods -- Simulation of Gravity Flow of Granular Materials in Silos -- A Comparison of Discontinuous and Continuous Galerkin Methods Based on Error Estimates, Conservation, Robustness and Efficiency -- The Utility of Modeling and Simulation in Determining Transport Performance Properties of Semiconductors -- A Discontinuous Galerkin Method for the Incompressible Navier-Stokes Equations -- Full Convergence for Hyperbolic Finite Elements -- A Conservative DGM for Convection-Diffusion and Navier-Stokes Problems -- GMRES Discontinuous Galerkin Solution of the Compressible Navier-Stokes Equations -- Explicit Finite Element Methods for Linear Hyperbolic Systems -- hp-DGFEM for Partial Differential Equations with Nonnegative Characteristic Form -- A Discontinuous Galerkin Method Applied to Nonlinear Parabolic Equations -- III Contributed Papers -- Parallel Iterative Discontinuous Galerkin Finite-Element Methods -- A Discontinuous Projection Algorithm for Hamilton Jacobi Equations -- Successes and Failures of Discontinuous Galerkin Methods in Viscoelastic Fluid Analysis -- High Order Current Basis Functions for Electromagnetic Scattering of Curved Surfaces -- An Adaptive Discontinuous Galerkin Model for Coupled Viscoplastic Crack Growth and Chemical Transport -- An Optimal Estimate for the Local Discontinuous Galerkin Method -- Post-Processing of Galerkin Methods for Hyperbolic Problems -- to Discontinuous Wavelets -- The Local Discontinuous Galerkin Method for Contaminant Transport Problems -- Discontinuous Galerkin Method for the Numerical Solution of Euler Equations in Axisymmetric Geometry -- Ten Years Using Discontinuous Galerkin Methods for Polymer Processing Problems -- Using Krylov-Subspace Iterations in Discontinuous Galerkin Methods for Nonlinear Reaction-Diffusion Systems -- An Abridged History of Cell Discretization -- The Effect of the Least Square Procedure for Discontinuous Galerkin Methods for Hamilton-Jacobi Equations -- A Posteriori Error Estimate in the Case of Insufficient Regularity of the Discrete Space -- Discontinuous Spectral Element Approximation of Maxwell's Equations -- A Posteriori Error Estimation for Adaptive Discontinuous Galerkin Approximations of Hyperbolic Systems -- A Numerical Example on the Performance of High Order Discontinuous Galerkin Method for 2D Incompressible Flows -- A Discontinuous Galerkin Method in Moving Domains -- Discontinuous Galerkin for Hyperbolic Systems with Stiff Relaxation -- Finite Element Output Bounds for Parabolic Equations: Application to Heat Conduction Problems -- 3D Unstructured Mesh ALE Hydrodynamics with the Upwind Discontinuous Galerkin Method -- Some Remarks on the Accuracy of a Discontinuous Galerkin Method -- Coupling Continuous and Discontinuous Techniques: An Adaptive Approach -- A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms -- Dispersion Analysis of the Continuous and Discontinuous Galerkin Formulations -- The Cell Discretization Algorithm; An Overview -- Accuracy, Resolution, and Computational Complexity of a Discontinuous Galerkin Finite Element Method -- An ELLAM Scheme for Porous Medium Flows -- Application of the Discontinuous Galerkin Method to Maxwell's Equations Using Unstructured Polymorphic hp-Finite Elements -- A Space-Time Discontinuous Galerkin Method for Elastodynamic Analysis -- Nonconforming, Enhanced Strain, and Mixed Finite Element Methods โ A Unified Approach