Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints (Q2123925)

scientific article; zbMATH DE number 7508470

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English	Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints	scientific article; zbMATH DE number 7508470

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instance of

scholarly article

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title

Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints (English)

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Journal of Computational Physics

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publication date

14 April 2022

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full work available at URL

https://arxiv.org/abs/1809.01971

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zbMATH Keywords

fractional multidimensional Laplacian

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tensor numerical methods

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optimal control problems

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low Kronecker rank preconditioner

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Tucker and canonical tensor decompositions

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reduced higher order SVD

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describes a project that uses

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Hybrid Finite Element--Spectral Method for the Fractional Laplacian: Approximation Theory and Efficient Solver

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A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators

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Fractional Calculus with Applications in Mechanics

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Q3241581

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Multigrid Methods for PDE Optimization

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Computational Optimization of Systems Governed by Partial Differential Equations

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Fourier spectral methods for fractional-in-space reaction-diffusion equations

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An Extension Problem Related to the Fractional Laplacian

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Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions

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Discretizations of the Spectral Fractional Laplacian on General Domains with Dirichlet, Neumann, and Robin Boundary Conditions

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A Multilinear Singular Value Decomposition

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Solution of Linear Systems and Matrix Inversion in the TT-Format

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Fast tensor product solvers for optimization problems with fractional differential equations as constraints

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A fast algorithm for solving the space-time fractional diffusion equation

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Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems

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Data-sparse approximation to the operator-valued functions of elliptic operator

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Tensor Spaces and Numerical Tensor Calculus

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Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions

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Algorithms for PDE-constrained optimization

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Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals

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Optimal solvers for linear systems with fractional powers of sparse SPD matrices

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Functions of Matrices

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Optimization with PDE Constraints

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${\mathscr{H}} $-matrix approximability of inverses of discretizations of the fractional Laplacian

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Multilevel Toeplitz matrices generated by tensor-structured vectors and convolution with logarithmic complexity

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Tensor numerical methods in quantum chemistry

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Structured Rank-(r1, . . . , rd) Decomposition of Function-related Tensors in R_D

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$O(d \log N)$-quantics approximation of $N$-$d$ tensors in high-dimensional numerical modeling

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Tensor numerical methods in scientific computing

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Low rank Tucker-type tensor approximation to classical potentials

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Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays

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Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs

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Krylov Subspace Methods for Linear Systems with Tensor Product Structure

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Ten equivalent definitions of the fractional Laplace operator

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Q5491447

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Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Q5727849

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Optimal control of a class of fractional heat diffusion systems

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Q3139836

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Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains

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Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains

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Q3558349

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Numerically solving an equation for fractional powers of elliptic operators

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2020.109865

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Sitelinks

Mathematics(1 entry)

mardi Publication:2123925