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Revenue from Contract with Customer (Tables)
3 Months Ended
Mar. 31, 2021
Revenue from Contract with Customer [Abstract]  
Disaggregation of Revenue
The following table provides information about disaggregated revenue by type of product and contract for the three months ended March 31, 2021 and 2020:
For the Three Months Ended March 31,
20212020
(Dollars in thousands)
Graphite Electrodes - Three-to-five-year take-or-pay contracts$245,565 $276,379 
Graphite Electrodes - Short-term agreements and spot sales47,255 30,818 
By-products and other11,577 11,449 
Total Revenues$304,397 $318,646 
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction The remaining revenue associated with our LTAs is expected to be approximately as follows:
20222023 through 2024
(Dollars in millions)
Estimated LTA revenue
$910-$1,010
$350-$450(1)
(1) Includes expected termination fees from a few customers that have failed to meet certain obligations under their LTAs.