| Autor: |
BINGXIN ZHU, HAIJUN WU |
| Předmět: |
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| Zdroj: |
SIAM Journal on Numerical Analysis; 2024, Vol. 62 Issue 3, p1394-1419, 26p |
| Abstrakt: |
In this paper, we analyze a hybridizable discontinuous Galerkin method for the Helmholtz equation with large wave number, which uses piecewise polynomials of degree of p ≥ 1 to approximate the potential u and its traces and piecewise polynomials of degree of p - 1 for the flux q. It is proved that ... and ... hold under the conditions that k(kh)2p is sufficiently small and that the penalty parameter ..., where h is the mesh size. Numerical experiments are proposed to verify our theoretical findings and to show that the pollution error may be greatly reduced by tuning the penalty parameter. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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