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math.NA2017★ 1 cited
Sparse operator compression of higher-order elliptic operators with rough coefficients
Thomas Y. Hou, Pengchuan Zhang
We introduce the sparse operator compression to compress a self-adjoint higher-order elliptic operator with rough coefficients and various boundary conditions. The operator compres…
math.NA2017
An adaptive fast solver for a general class of positive definite matrices via energy decomposition
Thomas Y. Hou, D. Huang, K. C. Lam +1
In this paper, we propose an adaptive fast solver for a general class of symmetric positive definite (SPD) matrices which include the well-known graph Laplacian. We achieve this by…