Biorthogonal wavelet Galerkin scheme for 2D elliptic interface problems achieves near-optimal convergence rates of O(h |log h|) in H1 and O(h² |log h|²) in L2 while keeping matrix condition numbers bounded independent of problem size.
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Galerkin Scheme Using Biorthogonal Wavelets on Intervals for Elliptic Interface Problems
Biorthogonal wavelet Galerkin scheme for 2D elliptic interface problems achieves near-optimal convergence rates of O(h |log h|) in H1 and O(h² |log h|²) in L2 while keeping matrix condition numbers bounded independent of problem size.