Results 1 to 10 of about 274 (138)
The correct use of the Lax–Friedrichs method [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2004 We are concerned with the structure of the operator corresponding to the Lax–Friedrichs method. At first, the phenomenae which may arise by the naive use of the Lax–Friedrichs scheme are analyzed. In particular, it turns out that the correct definition of the method has to include the details of the discretization of the initial condition and the ...
Michael Breuß
openalex +2 more sources
Two-step Lax–Friedrichs method [PDF]
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
openalex +2 more sources
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
openalex +4 more sources
A generalization of the Friedrichs angle and the method of alternating projections [PDF]
Comptes Rendus. Mathématique, 2009 Abstract We present a generalization to an arbitrary number of subspaces of the cosine of the Friedrichs angle between two subspaces of a Hilbert space. This parameter is used to analyze the rate of convergence in the von Neumann–Halperin method of alternating projections.
Cătălin Badea +2 more
openalex +6 more sources
A continuous finite element method with face penalty to approximate Friedrichs' systems [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2007 A continuous finite element method to approximate Friedrichs' systems is proposed and analyzed. Stability is achieved by penalizing the jumps across mesh interfaces of the normal derivative of some components of the discrete solution. The convergence analysis leads to optimal convergence rates in the graph norm and suboptimal of order ½ convergence ...
Erik Burman, Alexandre Ern
openalex +4 more sources
Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory [PDF]
SIAM Journal on Numerical Analysis, 2006 This paper presents a unified analysis of discontinuous Galerkin methods to approximate Friedrichs' systems. An abstract set of conditions is identified at the continuous level to guarantee existence and uniqueness of the solution in a subspace of the graph of the differential operator.
Alexandre Ern, Jean‐Luc Guermond
openalex +3 more sources
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
openalex +3 more sources
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
openalex +6 more sources
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
openalex +3 more sources
The Lax-Friedrichs method in one-dimensional hemodynamics [PDF]
22 pages, 5 ...
Arnaud Beckers, Niklas Kolbe
openalex +3 more sources