Sparsifying Preconditioner for Pseudospectral Approximations of Indefinite Systems on Periodic Structures

DOI10.1137/140985159zbMath1317.65086arXiv1409.0297OpenAlexW2080432916MaRDI QIDQ5266229

Lexing Ying

Publication date: 30 July 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0297

zbMATH Keywords

Schrödinger equationHelmholtz equationpreconditionerpseudospectral approximationperiodic structureindefinite matrixsparse linear algebra

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (4)

Sparsifying preconditioner for soliton calculations ⋮ Sparsify and Sweep: An Efficient Preconditioner for the Lippmann--Schwinger Equation ⋮ Preconditioning Orbital Minimization Method for Planewave Discretization ⋮ Sparsifying preconditioner for the time-harmonic Maxwell's equations

Uses Software

• Matlab

Cites Work

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• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• The Multifrontal Solution of Indefinite Sparse Symmetric Linear
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Spectral Methods in MATLAB
• Sparsifying Preconditioner for the Lippmann--Schwinger Equation
• Spectral Methods
• Numerical Methods for the Simulation of Turbulence
• Nested Dissection of a Regular Finite Element Mesh

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