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A Sparse ℋ-Matrix Arithmetic.

https://doi.org/10.1007/pl00021408
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Integral Equations: Theory and Numerical Treatment
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On H 2-Matrices
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On the fast matrix multiplication in the boundary element method by panel clustering
inferredcites →https://doi.org/10.1007/bf02571732openalex-snapshot
Wavelet approximation methods for pseudodifferential equations: I Stability and convergence
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Mosaic-Skeleton approximations
inferredcites →https://doi.org/10.1007/s006070050015openalex-snapshot
A Sparse Matrix Arithmetic Based on $\Cal H$ -Matrices. Part I: Introduction to ${\Cal H}$ -Matrices

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Fast frequency sweep method for indirect boundary element models arising in acoustics
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An ACA-SBM for some 2D steady-state heat conduction problems
inferred← citeshttps://doi.org/10.1016/j.enganabound.2016.12.008openalex-snapshot
Modelling of acoustic and elastic wave propagation from underground structures using a 2.5D BEM-FEM approach
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Computation of electric field inside substations with boundary element methods and adaptive cross approximation
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Simulation of two-dimensional steady-state heat conduction problems by a fast singular boundary method
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A fast direct singular boundary method for three-dimensional potential problems
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A study on partial pivot ACA boundary element method for elasticity problems
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A fast 3D dual boundary element method based on hierarchical matrices
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A fast technique applied to the analysis of Resistive Wall Modes with 3D conducting structures
inferred← citeshttps://doi.org/10.1016/j.jcp.2010.07.029openalex-snapshot
Fast evaluation of Helmholtz potential on graphics processing units (GPUs)
inferred← citeshttps://doi.org/10.1016/j.jcp.2013.11.011openalex-snapshot
A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions
inferred← citeshttps://doi.org/10.1016/j.jcp.2014.10.020openalex-snapshot
A heterogeneous stochastic FEM framework for elliptic PDEs
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A fast block low-rank dense solver with applications to finite-element matrices
inferred← citeshttps://doi.org/10.1016/j.jcp.2018.05.007openalex-snapshot
A heterogeneous FMM for layered media Helmholtz equation I: Two layers in R2
inferred← citeshttps://doi.org/10.1016/j.jcp.2019.07.024openalex-snapshot
A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling
inferred← citeshttps://doi.org/10.1016/j.jcp.2019.07.027openalex-snapshot
An O ( N log N ) hierarchical random compression method for kernel matrices by sampling partial matrix entries
inferred← citeshttps://doi.org/10.1016/j.jcp.2023.112491openalex-snapshot
A hybrid stochastic interpolation and compression method for kernel matrices
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Fast hierarchical low-rank view factor matrices for thermal irradiance on planetary surfaces
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Large-scale magnetostatic field calculation in finite element micromagnetics with H2 -matrices
inferred← citeshttps://doi.org/10.1016/j.jsv.2022.117323openalex-snapshot
Accelerating boundary element methods in wideband frequency sweep analysis by matrix-free model order reduction
inferred← citeshttps://doi.org/10.1016/j.laa.2003.08.013openalex-snapshot
Kronecker-product approximations for some function-related matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2006.10.021openalex-snapshot
Data-sparse approximation of non-local operators by H 2 -matrices
inferred← citeshttps://doi.org/10.1016/j.mex.2019.07.001openalex-snapshot
HLIBCov: Parallel hierarchical matrix approximation of large covariance matrices and likelihoods with applications in parameter identification
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Batched QR and SVD algorithms on GPUs with applications in hierarchical matrix compression
inferred← citeshttps://doi.org/10.1016/j.parco.2017.12.004openalex-snapshot
A distributed-memory hierarchical solver for general sparse linear systems
inferred← citeshttps://doi.org/10.1016/j.parco.2022.102956openalex-snapshot
parGeMSLR: A parallel multilevel Schur complement low-rank preconditioning and solution package for general sparse matrices
inferred← citeshttps://doi.org/10.1016/s0168-9274(02)00121-6openalex-snapshot
-matrix approximation of integral operators by interpolation
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A sparse H-matrix arithmetic: general complexity estimates
inferred← citeshttps://doi.org/10.1016/s0955-7997(02)00152-2openalex-snapshot
Introduction to hierarchical matrices with applications
inferred← citeshttps://doi.org/10.1017/s0962492906410011openalex-snapshot
Fast direct solvers for integral equations in complex three-dimensional domains
inferred← citeshttps://doi.org/10.1021/acs.jctc.6b00884openalex-snapshot
Clustered Low-Rank Tensor Format: Introduction and Application to Fast Construction of Hartree–Fock Exchange
inferred← citeshttps://doi.org/10.1023/a:1014030412645openalex-snapshot
Approximating the Approximant: A Numerical Code for Polynomial Compression of Discrete Integral Operators
inferred← citeshttps://doi.org/10.1023/a:1015200931176openalex-snapshot
On collocation schemes for integral equations arising in slender-body approximations of flow past particles with circular cross-section
inferred← citeshttps://doi.org/10.1049/iet-map.2009.0229openalex-snapshot
ℋ- and ℋ 2 -matrix-based fast integral-equation solvers for large-scale electromagnetic analysis
inferred← citeshttps://doi.org/10.1049/iet-map.2010.0458openalex-snapshot
Data-sparse LU-decomposition preconditioning combined with multilevel fast multipole method for electromagnetic scattering problems
inferred← citeshttps://doi.org/10.1049/iet-map.2014.0653openalex-snapshot
Fast analysis of three‐dimensional electromagnetic problems using dual‐primal finite‐element tearing and interconnecting method combined with ℋ‐matrix technique
inferred← citeshttps://doi.org/10.1049/iet-map.2020.0292openalex-snapshot
Symmetric near‐field Schur's complement preconditioner for hierarchal electric field integral equation solver
inferred← citeshttps://doi.org/10.1063/1.2987409openalex-snapshot
Interpreting the Coulomb-field approximation for generalized-Born electrostatics using boundary-integral equation theory
inferred← citeshttps://doi.org/10.1063/1.4826189openalex-snapshot
Parametric hierarchical matrix approach for the wideband optical response of large-scale molecular aggregates
inferred← citeshttps://doi.org/10.1080/01630563.2012.707866openalex-snapshot
Error Bounds for Low-Rank Approximations of the First Exponential Integral Kernel
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