An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems

DOI10.1007/s10444-018-9644-2zbMath1415.65294OpenAlexW2901896256WikidataQ128818796 ScholiaQ128818796MaRDI QIDQ2000511

Nikolaos Rekatsinas, Rob P. Stevenson

Publication date: 28 June 2019

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-018-9644-2

zbMATH Keywords

linear complexityspace-time variational formulationoptimal ratesadaptive wavelet solverfirst order system least squaresparabolic pdes

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)

Related Items (5)

A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations ⋮ A Parallel Algorithm for Solving Linear Parabolic Evolution Equations ⋮ Interpolation operators for parabolic problems ⋮ A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations ⋮ Further results on a space-time FOSLS formulation of parabolic PDEs

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