QTT-isogeometric solver in two dimensions

Larisa Markeeva,I. Tsybulin,Ivan V. Oseledets

Journal of Computational Physics（2021）

引用 4|浏览18

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摘要

•Developed a z-kron operation to build QTT-matrix with rows and columns in z-order.•The z-kron operation leads to O(log⁡n) space for QTT representations.•An algorithm to build coefficient QTT-matrix in z-order from smaller QTT-matrices.•The Algorithm has log time and space w.r.t. the number of nodes in a grid.•The coefficient QTT-matrix has log space and O(1) ranks w.r.t. the number of nodes.

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关键词

Elliptic partial differential equation,Finite element method,Tensor train,Quantized tensor train,z-curve,z-kron

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