Discontinuous Galerkin Methods

Theory, Computation and Applications

AvBernardo Cockburn,George E. Karniadakis

Häftad, Engelska, 2011

Del 11 i serien Lecture Notes in Computational Science and Engineering

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Beskrivning

A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing.

Produktinformation

Utgivningsdatum:2011-09-30
Mått:155 x 235 x 31 mm
Vikt:722 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Computational Science and Engineering
Antal sidor:470
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642640988

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Innehållsförteckning

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 ChemicalTransport.- 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 — A Unified Approach.