Gaussian expansion methods under the absorbing boundary condition
نویسندگان
چکیده
منابع مشابه
Complex Coordinate Stretching as a Generalized Absorbing Boundary Condition
By complex coordinate stretching and a change of ̈ariables, it is shown simply that PML is reflectionless for all frequencies and all angles. Also, Maxwell’s equations for PML media reduce to ordinary Maxwell’s equations with complex coordinate systems. Many closed-form solutions for Maxwell’s equations map to corresponding closed-form solutions in complex coordinate systems. Numerical simulati...
متن کاملPerfectly Matched Layers for Elastodynamics: A New Absorbing Boundary Condition
The use of perfectly matched layers (PML) has recently been introduced by Berenger as a material absorbing boundary condition (ABC) for electromagnetic waves. In this paper, we will rst prove that a ctitious elastodynamic material half-space exists that will absorb an incident wave for all angles and all frequencies. Moreover, the wave is attenuative in the second half-space. As a consequence, ...
متن کاملAPPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS
In this paper a mathematical simulation of a simplified internal combustion engine is presented. To contribute engine kinematics and its geometry, simple relations are derived for constrained motions. The equation of motion for the piston forms a singular boundary value problem. The uniqueness of the solution was studied in the Banach space. For solving governing equations an iterative numerica...
متن کاملGaussian integrability of distance function under the Lyapunov condition
In this note we give a direct proof of the Gaussian integrability of distance function as μe (x,x0) <∞ for some δ > 0 provided the Lyapunov condition holds for symmetric diffusion operators, which answers a question in Cattiaux-Guillin-Wu [6, Page 295]. The similar argument still works for diffusions processes with unbounded diffusion coefficients and for jump processes such as birth-death chai...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical and Experimental Physics
سال: 2014
ISSN: 2050-3911
DOI: 10.1093/ptep/ptu135