Error analysis for absorbing boundary conditions
Copyright policy )Error analysis for absorbing boundary conditions
An estimate is derived for the error committed by the introduction of artificial boundaries and corresponding artificial boundary conditions when solving wave equations on unbounded domains. The estimate has two terms. One is proportional to the largest reflection coefficient for the artificial boundary condition, the maximum taken only on those rays which appear in the computation. The second term is proportional to 1/k where k is a measure of the average frequency present in the solution.
- University of Michigan–Flint United States
- University of Michigan–Ann Arbor United States
- Centre de Mathématiques Appliquées France
- DigiZeitschriften Germany
- University of Michigan United States
Numerical Analysis, reflection coefficient, Science, Numerical and Computational Methods, Appl.Mathematics/Computational Methods of Engineering, CR: G1.8, artificial boundaries, Theoretical approximation in context of PDEs, error, Article, estimate, 510.mathematics, Mathematical and Computational Physics, Mathematical Methods in Physics, AMS(MOS): 35L20, Initial-boundary value problems for second-order hyperbolic equations, General, Mathematics
Numerical Analysis, reflection coefficient, Science, Numerical and Computational Methods, Appl.Mathematics/Computational Methods of Engineering, CR: G1.8, artificial boundaries, Theoretical approximation in context of PDEs, error, Article, estimate, 510.mathematics, Mathematical and Computational Physics, Mathematical Methods in Physics, AMS(MOS): 35L20, Initial-boundary value problems for second-order hyperbolic equations, General, Mathematics
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