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• W2775996934 abstract "We devise a space-time tensor method for the low-rank approximation of linear parabolic evolution equations. The proposed method is a Galerkin method, uniformly stable in the discretization parameters, based on a Minimal Residual formulation of the evolution problem in Hilbert–Bochner spaces. The discrete solution is sought in a linear trial space composed of tensors of discrete functions in space and in time and is characterized as the unique minimizer of a discrete functional where the dual norm of the residual is evaluated in a space semi-discrete test space. The resulting global space-time linear system is solved iteratively by a greedy algorithm. Numerical results are presented to illustrate the performance of the proposed method on test cases including non-selfadjoint and time-dependent differential operators in space. The results are also compared to those obtained using a fully discrete Petrov–Galerkin setting to evaluate the dual residual norm." @default.
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• W2775996934 date "2019-03-01" @default.
• W2775996934 modified "2023-10-15" @default.
• W2775996934 title "Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods" @default.
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• W2775996934 doi "https://doi.org/10.1051/m2an/2018073" @default.
• W2775996934 hasPublicationYear "2019" @default.
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