Performance study of hierarchical semi-separable compression solver for parabolic problems with space-fractional diffusion

DOI10.1007/978-3-030-97549-4_8OpenAlexW4226285979MaRDI QIDQ2128434

Dimitar Slavchev, Svetozar Margenov

Publication date: 22 April 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-97549-4_8

zbMATH Keywords

anomalous diffusionparabolicfractional LaplacianHSS compressionSTRUMPACK

Mathematics Subject Classification ID

Complexity and performance of numerical algorithms (65Y20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (1)

On the application of a hierarchically semi-separable compression for space-fractional parabolic problems with varying time steps

Uses Software

• STRUMPACK

Cites Work

• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
• Splitting schemes for non-stationary problems with a rational approximation for fractional powers of the operator
• Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1\)]
• A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
• A Distributed-Memory Package for Dense Hierarchically Semi-Separable Matrix Computations Using Randomization
• A Fast $ULV$ Decomposition Solver for Hierarchically Semiseparable Representations
• Efficient Structured Multifrontal Factorization for General Large Sparse Matrices

This page was built for publication: Performance study of hierarchical semi-separable compression solver for parabolic problems with space-fractional diffusion