Vector subdivision schemes and their convergence for arbitrary matrix masks
B Han - Journal of Computational and Applied Mathematics, 2024 - Elsevier
Employing a matrix mask, a vector subdivision scheme is a fast iterative averaging algorithm
to compute refinable vector functions for wavelet methods in numerical PDEs and to produce …
to compute refinable vector functions for wavelet methods in numerical PDEs and to produce …
Galerkin Scheme Using Biorthogonal Wavelets on Intervals for 2D Elliptic Interface Problems
B Han, M Michelle - arXiv preprint arXiv:2410.16596, 2024 - arxiv.org
This paper introduces a wavelet Galerkin method for solving two-dimensional elliptic
interface problems of the form in $-\nabla\cdot (a\nabla u)= f $ in $\Omega\backslash …
interface problems of the form in $-\nabla\cdot (a\nabla u)= f $ in $\Omega\backslash …
Multivariate Vector Subdivision Schemes with a General Matrix-valued Filter
R Lu - arXiv preprint arXiv:2501.08817, 2025 - arxiv.org
Subdivision schemes are closely related to splines and wavelets and have numerous
applications in CAGD and numerical differential equations. Subdivision schemes employ a …
applications in CAGD and numerical differential equations. Subdivision schemes employ a …