4 papers · 1 filter
Galerkin Scheme Using Biorthogonal Wavelets on Intervals for Elliptic Interface Problems
Bin Han, Michelle Michelle
This paper presents a wavelet Galerkin method for solving elliptic interface problems of the form in , where is a smooth interface…
Wavelet-based Galerkin Scheme with Arbitrarily High-Order Convergence for 1D Elliptic Interface Problems
Bin Han, Michelle Michelle
The solution of an elliptic interface problem in a domain is often smooth away from the interface , but its gradient is discontinuous across , resulting…
High-order, Compact, and Symmetric Finite Difference Methods for -Dimensional Elliptic Equations
Qiwei Feng, Bin Han, Michelle Michelle +1
This paper presents compact, symmetric, and high-order finite difference methods (FDMs) for the variable Poisson equation on a -dimensional hypercube. Our schemes produce symmet…
Wavelet Galerkin Method for an Electromagnetic Scattering Problem
Bin Han, Michelle Michelle
The Helmholtz equation with variable wavenumbers is challenging to solve numerically due to the pollution effect, which often results in a huge ill-conditioned linear system. In th…