Spectral, tensor and domain decomposition methods for fractional PDEs
type: Item
instance of: scholarly article
title: Spectral, tensor and domain decomposition methods for fractional PDEs
author: Tianyi Shi
author: Harbir Antil
author: D. P. Kouri
published in: Computational Methods in Applied Mathematics
publication date: 2022-11-04T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 35S15
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7612445
zbMATH Keywords: ultraspherical polynomial
zbMATH Keywords: fractional PDEs
zbMATH Keywords: tensor methods
zbMATH Keywords: domain decomposition
zbMATH Keywords: 3D problems
zbMATH Keywords: optimal control
Wikidata QID: Q114053151
describes a project that uses: Chebfun
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
full work available at URL: cmam-2021-0118
OpenAlex ID: W4211133522
cites work: Hybrid Finite Element--Spectral Method for the Fractional Laplacian: Approximation Theory and Efficient Solver
cites work: Analysis and Approximation of a Fractional Cahn--Hilliard Equation
cites work: Spectral approximation of fractional PDEs in image processing and phase field modeling
cites work: Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography
cites work: Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization
cites work: The \(h,p\) and \(h\)-\(p\) version of the finite element method; basis theory and applications
cites work: Tensor FEM for spectral fractional diffusion
cites work: Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]
cites work: On the ADI method for Sylvester equations
cites work: Numerical approximation of fractional powers of elliptic operators
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: An efficient and accurate numerical method for the spectral fractional Laplacian equation
cites work: Behavior of Solutions of 2D Quasi-Geostrophic Equations
cites work: A fractional porous medium equation
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: The ultraspherical spectral element method
cites work: Fast Poisson solvers for spectral methods
cites work: Chebfun and numerical quadrature
cites work: Tensor Decompositions and Applications
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: What is the fractional Laplacian? A comparative review with new results
cites work: $hp$-Finite Elements for Fractional Diffusion
cites work: A PDE approach to fractional diffusion in general domains: a priori error analysis
cites work: Q3579593
cites work: A fast and well-conditioned spectral method
cites work: Tensor method for optimal control problems constrained by fractional three‐dimensional elliptic operator with variable coefficients
cites work: Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations
cites work: Extension Problem and Harnack's Inequality for Some Fractional Operators
cites work: The automatic solution of partial differential equations using a global spectral method
cites work: Computing with Functions in Spherical and Polar Geometries II. The Disk
cites work: A unified Petrov-Galerkin spectral method for fractional PDEs
DOI: 10.1515/CMAM-2021-0118
description: scientific article; zbMATH DE number 7612445