Space–time least–squares isogeometric method and efficient solver for parabolic problems
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Publication:5216727
DOI10.1090/mcom/3471OpenAlexW2954925321WikidataQ127616491 ScholiaQ127616491MaRDI QIDQ5216727
Mattia Tani, Giancarlo Sangalli, M. Montardini, Matteo Negri
Publication date: 18 February 2020
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.10026
splinesleast-squaresSylvester equationparabolic problemisogeometric analysisspace-time method\(k\)-method
Numerical computation using splines (65D07) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Preconditioners for iterative methods (65F08)
Related Items (7)
Exponential convergence of hp-time-stepping in space-time discretizations of parabolic PDES ⋮ Design and performance of a space-time virtual element method for the heat equation on prismatic meshes ⋮ High-order spline upwind for space-time isogeometric analysis ⋮ An efficient solver for space-time isogeometric Galerkin methods for parabolic problems ⋮ A domain decomposition method for isogeometric multi-patch problems with inexact local solvers ⋮ A projected super-penalty method for the \(C^1\)-coupling of multi-patch isogeometric Kirchhoff plates ⋮ Space-time least-squares finite elements for parabolic equations
Uses Software
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