A hybridized discontinuous Petrov-Galerkin scheme for scalar conservation laws

SUMMARY We present a hybridized discontinuous Petrov–Galerkin (HDPG) method for the numerical solution of steady and time‐dependent scalar conservation laws. The method combines a hybridization technique with a local Petrov–Galerkin approach in which the test functions are computed to maximize the i...

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Bibliographic Details
Published in:	International journal for numerical methods in engineering Vol. 91; no. 9; pp. 950 - 970
Main Authors:	Moro, D., Nguyen, N. C., Peraire, J.
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 31.08.2012 Wiley
Subjects:	Classical transport Exact sciences and technology hybridized discontinuous Galerkin Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Nonlinear algebraic and transcendental equations nonlinear conservation laws Numerical analysis Numerical analysis. Scientific computation Partial differential equations, initial value problems and time-dependant initial-boundary value problems Petrov-Galerkin Physics Sciences and techniques of general use Statistical physics, thermodynamics, and nonlinear dynamical systems Transport processes Performance evaluation Discontinuity Costs Constraint nonlinear conservation laws Non linear system Modeling Newton Raphson method Trace Galerkin-Petrov method Computation time Conservation law Linear system Petrov-Galerkin hybridized discontinuous Galerkin Galerkin method Non linear effect Numerical convergence
ISSN:	0029-5981, 1097-0207
Online Access:	Get full text
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