SlabLU: a two-level sparse direct solver for elliptic PDEs (Q6607037)

scientific article; zbMATH DE number 7914911

Language	Label	Description	Also known as
English	SlabLU: a two-level sparse direct solver for elliptic PDEs	scientific article; zbMATH DE number 7914911

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instance of

scholarly article

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title

SlabLU: a two-level sparse direct solver for elliptic PDEs (English)

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author

Anna Yesypenko

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Per-Gunnar Martinsson

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published in

Advances in Computational Mathematics

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publication date

17 September 2024

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zbMATH Keywords

direct solver

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sparse direct solver

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randomized linear algebra

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multifrontal solver

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high-order discretization

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GPU

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Helmholtz equation

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MaRDI profile type

Publication

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cites work

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Fast algorithms for hierarchically semiseparable matrices

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Linear-Complexity Black-Box Randomized Compression of Rank-Structured Matrices

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A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method

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Algebraic multigrid methods

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Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods

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A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

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On a class of preconditioners for solving the Helmholtz equation

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Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation

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Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers

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An Approximate Minimum Degree Ordering Algorithm

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Nested Dissection of a Regular Finite Element Mesh

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Hierarchical matrices. A means to efficiently solve elliptic boundary value problems

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Hierarchical Matrices: Algorithms and Analysis

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On the Complexity of the Block Low-Rank Multifrontal Factorization

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An efficient multicore implementation of a novel HSS-structured multifrontal solver using randomized sampling

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Superfast Multifrontal Method for Large Structured Linear Systems of Equations

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A Direct Solver with $O(N)$ Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method

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Compressing Rank-Structured Matrices via Randomized Sampling

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A fast direct solver for scattering problems involving elongated structures

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An accelerated Poisson solver based on multidomain spectral discretization

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A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media

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A direct solver for elliptic PDEs in three dimensions based on hierarchical merging of Poincaré-Steklov operators

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A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems

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An Adaptive High Order Direct Solution Technique for Elliptic Boundary Value Problems

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Identifiers

zbMATH Open document ID

1547.65185

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DOI

10.1007/s10444-024-10176-x

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6607037