Results 1 to 10 of about 359,903 (228)
The correct use of the Lax–Friedrichs method [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2004 The authors analyze the basic phenomena which may arise by the naive use of the Lax-Friedrichs scheme in 1D. They employ a virtually infinite grid, and as a motivation a simple linear model problem is used for their discussion. They also discuss the effects of the discretizations of a finite computational domain with boundary conditions on the ...
Michael Breuß
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The use of classical Lax–Friedrichs Riemann solvers with discontinuous Galerkin methods [PDF]
International Journal for Numerical Methods in Fluids, 2002 AbstractWhile conducting a von Neumann stability analysis of discontinuous Galerkin methods we discovered that the classic Lax–Friedrichs Riemann solver is unstable for all time‐step sizes. We describe a simple modification of the Riemann solver's dissipation returns the method to stability.
William J. Rider, Robert B. Lowrie
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On the Discontinuous Galerkin Method for Friedrichs Systems in Graph Spaces [PDF]
, 2006 Solutions of Friedrichs systems are in general not of Sobolev regularity and may possess discontinuities along the characteristics of the differential operator. We state a setting in which the well-posedness of Friedrichs systems on polyhedral domains is ensured, while still allowing changes in the inertial type of the boundary.
Max Jensen
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Discontinuous Galerkin methods for Friedrichs systems with irregular solutions [PDF]
, 2004 This work is concerned with the numerical solution of Friedrichs systems by discontinuous Galerkin finite element methods (DGFEMs). Friedrichs systems are boundary value problems with symmetric, positive, linear first-order partial differential operators and allow the unified treatment of a wide range of elliptic, parabolic, hyperbolic and mixed-type ...
Max Jensen
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A continuous finite element method with face penalty to approximate Friedrichs' systems [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2007 The authors generalize the face penalty technique of \textit{E. Burman} [SIAM J. Numer. Anal. 43, No. 5, 2012--2033 (2005; Zbl 1111.65102)] and of \textit{E. Burman} and \textit{P. Hansbo} [Comput. Methods Appl. Mech. Eng. 193, No. 15--16, 1437--1453 (2004; Zbl 1085.76033)] in order to approximate satisfactorily Friedrichs' systems using continuous ...
Erik Burman, Alexandre Ern
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A method for relaxing the Courant-Friedrich-Levy condition in time-explicit schemes [PDF]
Astronomy & Astrophysics, 2005 We present a method for relaxing the Courant-Friedrich-Levy (CFL) condition, which limits the time step size in explicit numerical methods in computational fluid dynamics. The method is based on re-formulating explicit methods in matrix form. Here an explicit method appears as a special case in which the global matrix of coefficients is replaced by the
A. Hujeirat
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Space-Time Discontinuous Galerkin Methods for Weak Solutions of Hyperbolic Linear Symmetric Friedrichs Systems [PDF]
Journal of Scientific Computing, 2022 AbstractWe study weak solutions and its approximation of hyperbolic linear symmetric Friedrichs systems describing acoustic, elastic, or electro-magnetic waves. For the corresponding first-order systems we construct discontinuous Galerkin discretizations in space and time with full upwind, and we show primal and dual consistency.
Daniele Corallo +2 more
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The Lax–Friedrichs method in one-dimensional hemodynamics and its simplifying effect on boundary and coupling conditions [PDF]
22 pages, 5 ...
Arnaud Beckers, Niklas Kolbe
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Two-step Lax–Friedrichs method
Applied Mathematics Letters, 2005 AbstractThe usual Lax–Friedrichs (LxF) method is not dissipative, but we show that a simple variant called the two-step LxF method is dissipative.
L. F. Shampine
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A Modified Lax-Friedrichs Method for the Shallow Water Equations [PDF]
Proceedings of the Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia, 2020 Kartika Yulianti +2 more
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