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AHMED

Another software library on hierarchical matrices for elliptic differential equations (AHMED). This C++ software library implements the structure of hierarchical matrices for the efficient treatment of discrete solution operators for elliptic boundary value problems.

Keywords for this software

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  • hierarchical matrices
  • singular value decomposition
  • ACA
  • elastodynamics
  • space filling curves
  • electric field integral equation
  • screens
  • time domain elastodynamics
  • convolution quadrature method
  • Helmholtz
  • kernel ridge regression
  • HODLR matrices
  • Python interface
  • batched linear algebra
  • symmetric Galerkin BEM
  • MATLAB
  • (\mathcalH)-matrices
  • operator preconditioning
  • numerical examples
  • many-core parallelization
  • boundary integral equations
  • CQM
  • boundary element methods
  • C++
  • GPU
  • Laplace
  • time-domain BEM
  • Maxwell
  • low-rank approximation
  • data efficiency

  • URL: github.com/xantares/ahmed
  • Code
  • InternetArchive
  • Authors: M. Bebendorf

  • Add information on this software.


  • Related software:
  • HyENA
  • GitHub
  • H2Lib
  • Matlab
  • STRUMPACK
  • BETL
  • Gmsh
  • Hm-toolbox
  • HODLRlib
  • MATLAB expm
  • Show more...
  • Thrust
  • Open CASCADE
  • Concepts
  • FFTW
  • ParaView
  • Intel TBB
  • BEM++
  • MPLA
  • hmglib
  • CUDA
  • Show less...

References in zbMATH (referenced in 6 articles )

Showing results 1 to 6 of 6.
y Sorted by year (citations)

  1. Hiptmair, Ralf; Urzúa-Torres, Carolina: Preconditioning the EFIE on screens (2020)
  2. Massei, Stefano; Robol, Leonardo; Kressner, Daniel: Hm-toolbox: MATLAB software for HODLR and HSS matrices (2020)
  3. Zaspel, Peter: Algorithmic patterns for (\mathcalH)-matrices on many-core processors (2019)
  4. Kager, Bernhard; Schanz, Martin: Fast and data sparse time domain BEM for elastodynamics (2015)
  5. Śmigaj, Wojciech; Betcke, Timo; Arridge, Simon; Phillips, Joel; Schweiger, Martin: Solving boundary integral problems with BEM++ (2015)
  6. Messner, Matthias; Schanz, Martin: An accelerated symmetric time-domain boundary element formulation for elasticity (2010)

  • Article statistics & filter:

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  • MSC classification / top
    • Top MSC classes
      • 15 Linear and multilinear...
      • 35 Partial differential...
      • 65 Numerical analysis
      • 74 Mechanics of deformable...
      • 78 Optics, electromagnetic...
    • Other MSC classes
      • 68 Computer science

  • Publication year
    • 2010 - today
    • 2005 - 2009
    • 2000 - 2004
    • before 2000
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