Miaomiao Ma

most citedAccuracy Directly Controlled Fast Direct Solutions of General

H^{2}

-Matrices and Its Application to Electrically Large Integral-Equation-Based Electromagnetic Analysis

51 citations · 64 across the 3 of their papers we have counts for

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math.NA2019

Accuracy Controlled Structure-Preserving $H^{2}$ -Matrix-Matrix Product in Linear Complexity with Change of Cluster Bases

Miaomiao Ma, Dan Jiao

$H^{2}$ -matrix constitutes a general mathematical framework for efficient computation of both partial-differential-equation and integral-equation-based operators. Existing lin…

math.NA2017★ 51 cited

Accuracy Directly Controlled Fast Direct Solutions of General $H^{2}$ -Matrices and Its Application to Electrically Large Integral-Equation-Based Electromagnetic Analysis

Miaomiao Ma, Dan Jiao

The dense matrix resulting from an integral equation (IE) based solution of Maxwell's equations can be compactly represented by an $H^{2}$ -matrix. Given a general dense ${\cal…

math.NA2017★ 13 cited

$O (N)$ Iterative and $O (N l o g N)$ Fast Direct Volume Integral Equation Solvers with a Minimal-Rank $H^{2}$ -Representation for Large-Scale $3$ -D Electrodynamic Analysis

Saad Omar, Dan Jiao

Linear complexity iterative and log-linear complexity direct solvers are developed for the volume integral equation (VIE) based general large-scale electrodynamic analysis. The den…

Accuracy Controlled Structure-Preserving H2-Matrix-Matrix Product in Linear Complexity with Change of Cluster Bases

Accuracy Directly Controlled Fast Direct Solutions of General H2-Matrices and Its Application to Electrically Large Integral-Equation-Based Electromagnetic Analysis

O(N) Iterative and O(NlogN) Fast Direct Volume Integral Equation Solvers with a Minimal-Rank H2-Representation for Large-Scale 3-D Electrodynamic Analysis

Accuracy Controlled Structure-Preserving $H^{2}$ -Matrix-Matrix Product in Linear Complexity with Change of Cluster Bases

Accuracy Directly Controlled Fast Direct Solutions of General $H^{2}$ -Matrices and Its Application to Electrically Large Integral-Equation-Based Electromagnetic Analysis

$O (N)$ Iterative and $O (N l o g N)$ Fast Direct Volume Integral Equation Solvers with a Minimal-Rank $H^{2}$ -Representation for Large-Scale $3$ -D Electrodynamic Analysis