Construct · 1 fields · 1 citations

finite element pollution effect: a standalone construct

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finite elementpollution effect1 CONSTRUCTFinite element pollutionBABUŠKA · NUMERICAL ANALYSIS

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Numerical analysis

growth of finite element error with wave number at a fixed resolution per wavelength, caused by accumulated phase error in Helmholtz problems.

In numerical analysis, finite element pollution effect refers to growth of finite element error with wave number at a fixed resolution per wavelength, caused by accumulated phase error in Helmholtz problems. This meaning comes from Babuška (1997) in SIAM Journal on Numerical Analysis.[1]

Unit
Recovery means
Measured by

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element3 fields · 5 citationsjingle · one word, three constructserror4 fields · 8 citationsjingle · one word, four constructsgrowth4 fields · 4 citationsjingle · one word, four constructs

References

  1. Babuška, I. M., & Sauter, S. A. (1997). Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers? SIAM Journal on Numerical Analysis, 34(6), 2392-2423. https://doi.org/10.1137/s0036142994269186

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