Exponential convergence of \textit{hp} FEM for spectral fractional diffusion in polygons (Q2678962)

scientific article; zbMATH DE number 7643514

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English	Exponential convergence of \textit{hp} FEM for spectral fractional diffusion in polygons	scientific article; zbMATH DE number 7643514

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instance of

scholarly article

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title

Exponential convergence of \textit{hp} FEM for spectral fractional diffusion in polygons (English)

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Numerische Mathematik

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publication date

18 January 2023

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full work available at URL

https://arxiv.org/abs/2011.05701

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zbMATH Keywords

fractional diffusion

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nonlocal operators

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Dunford-Taylor calculus

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anisotropic \textit{hp}-refinement

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geometric corner refinement

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exponential convergence

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$n$-widths

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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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Q4398855

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The h-p version of the finite element method. I. The basic approximation results

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The h-p version of the finite element method. II. General results and applications

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Fractional powers of closed operators and the semigroups generated by them

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Tensor FEM for spectral fractional diffusion

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On sinc quadrature approximations of fractional powers of regularly accretive operators

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Numerical methods for fractional diffusion

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Reduced basis approximations of the solutions to spectral fractional diffusion problems

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Positive solutions of nonlinear problems involving the square root of the Laplacian

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An Extension Problem Related to the Fractional Laplacian

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Fractional elliptic equations, Caccioppoli estimates and regularity

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

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On rational Krylov and reduced basis methods for fractional diffusion

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A reduced basis method for fractional diffusion operators. I

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Computing with hp-ADAPTIVE FINITE ELEMENTS

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Robust exponential convergence of $hp$-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains

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Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation

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Inverse problems for heat equation and space-time fractional diffusion equation with one measurement

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A unified view of some numerical methods for fractional diffusion

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$hp$-finite element methods for singular perturbations

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hp FEM for Reaction-Diffusion Equations I: Robust Exponential Convergence

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Analytic Regularity for a Singularly Perturbed Problem

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Robust exponential convergence of $hp$-FEM in balanced norms for singularly perturbed reaction-diffusion equations

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The double-exponential transformation in numerical analysis

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NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules

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Q4220650

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Extension Problem and Harnack's Inequality for Some Fractional Operators

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Q4836063

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NUMERICAL SOLVING UNSTEADY SPACE-FRACTIONAL PROBLEMS WITH THE SQUARE ROOT OF AN ELLIPTIC OPERATOR

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00211-022-01329-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:2678962