Results 171 to 180 of about 11,548,558 (212)

Discontinuous Galerkin Methods for Friedrichs’ Systems

2007
This work presents a unified analysis of Discontinuous Galerkin methods to approximate Friedrichs’ systems. A general set of boundary conditions is identified to guarantee existence and uniqueness of solutions to these systems. A formulation enforcing the boundary conditions weakly is proposed.
Alexandre Ern, Jean-Luc Guermond
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Friedrichs Method in a Lyapunov Problem

Applicable Analysis, 2002
By using the well-known Friedrichs extension and some a priori inequality, we obtain weak solutions of a Lyapunov equation. In particular, we show that the Lyapunov functions satisfying necessary and sufficient conditions in the domain of asymptotic stability of a singular point some dynamical system must be absolutely continuous.
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The Lax–Friedrichs sweeping method for optimal control problems in continuous and hybrid dynamics

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Kao, Chiu Yen, Navasca, Carmeliza, Osher, Stanley   +2 more
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Beyond the Courant-Friedrichs-Lewy condition: Numerical methods for the wave problem using deep learning

Journal of Computational Physics, 2021
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Oded Ovadia, Adar Kahana, Eli Turkel, Shai Dekel   +3 more
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Quasinilpotent variant of Friedrichs' method in the theory of similarity of linear operators

Functional Analysis and Its Applications, 1983
Let X denote a complex Banach space. A closed linear operator A on X is called non-quasianalytic, if it has a representation \(A=A_ 1+iA_ 2\), \(D(A)\subset D(A_ 1)\cap D(A_ 2)\), where \(iA_ 1\), \(iA_ 2\), are generators of strongly continuous groups of operators \(\{T_ 1(t)\}\), \(\{T_ 2(t)\}\), \(t\geq 0\), which commute, and \(\int (\log \| T_ k(t)
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Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity

SIAM Journal on Numerical Analysis, 2008
This paper is the third and last part of a work attempting to give a unified analysis of discontinuous Galerkin methods. The purpose of this paper is to extend the framework that has been developed in Part II for two-field Friedrichs' systems associated with second-order PDEs.
Alexandre Ern, Jean-Luc Guermond
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Lax–Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws

Journal of Computational Physics, 2013
Fast sweeping methods are efficient iterative numerical schemes originally designed for solving stationary Hamilton-Jacobi equations. Their efficiency relies on Gauss-Seidel type nonlinear iterations, and a finite number of sweeping directions. In this paper, we generalize the fast sweeping methods to hyperbolic conservation laws with source terms. The
Weitao Chen, Ching-Shan Chou, Chiu-Yen Kao   +2 more
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Lax–Friedrichs Multigrid Fast Sweeping Methods for Steady State Problems for Hyperbolic Conservation Laws

Journal of Scientific Computing, 2015
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Weitao Chen, Ching-Shan Chou, Chiu-Yen Kao   +2 more
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Analysis of GRIN Lens Antennas through the Lax-Friedrichs Sweeping Method

2024 IEEE International Symposium on Antennas and Propagation and INC/USNC‐URSI Radio Science Meeting (AP-S/INC-USNC-URSI)
The analysis of Graded-Index (GRIN) lenses involves employing ray tracing algorithms, which address the Eikonal equation to determine phase distribution. Subsequently, the transport equation is solved to retrieve the amplitude. In this paper, we introduce a novel analysis approach based on a numerical technique known as the Lax-Friedrichs Sweeping ...
Gashi, Ilir, Maci, Stefano, Albani, Matteo   +2 more
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Simulation Analysis for Peak Pressure of Shock Wave Based on Lax-Friedrichs Method

2012 Fifth International Conference on Information and Computing Science, 2012
FEM software has been well-developed in shock wave simulation. As the software usually is huge and complicated, subdivision mesh needs lots of computation, and the precision is not assured, finite-difference methods are highly regarded. Difference schemes are related to the stability and precision.
Shijie Ye, Yanping Guo, Jianliang Li, Ming Lu   +3 more
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