Some Error Estimates on the Large Jump Asymptotic Method for Parabolic Iterface Problems
To approximate some problems with strongly discontinuous coefficients, we present the large jump asymptotic method for parabolic interface problems, focus on the derivation and proof of the asymptotic error estimates for our approximation, and show it is of order two. Numerical experiments verify the theoretical results.
Dongye Sun, Wen-Pei Sung and Ran Chen
C. Y. Nie and H. Y. Yu, "Some Error Estimates on the Large Jump Asymptotic Method for Parabolic Iterface Problems", Applied Mechanics and Materials, Vols. 121-126, pp. 4726-4731, 2012