Publication: Stability estimate for the Helmholtz equation with rapidly jumping coefficients
Stability estimate for the Helmholtz equation with rapidly jumping coefficients
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Sauter, S. A., & Torres, C. (2018). Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zeitschrift Für Angewandte Mathematik Und Physik (ZAMP), 69(6), 139. https://doi.org/10.1007/s00033-018-1031-9
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The goal of this paper is to investigate the stability of the Helmholtz equation in the high-frequency regime with non-smooth and rapidly oscillating coefficients on bounded domains. Existence and uniqueness of the problem can be proved using the unique continuation principle in Fredholm’s alternative. However, this approach does not give directly a coefficient-explicit energy estimate. We present a new theoretical approach for the one-dimensional problem and find that for a new class of coefficients, including coefficients with an ar
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- Sauter, Stefan A
- Torres, Céline
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Sauter, S. A., & Torres, C. (2018). Stability estimate for the Helmholtz equation with rapidly jumping coefficients. Zeitschrift Für Angewandte Mathematik Und Physik (ZAMP), 69(6), 139. https://doi.org/10.1007/s00033-018-1031-9
