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A reduced basis method for fractional diffusion operators. II (Q2070268)

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English	A reduced basis method for fractional diffusion operators. II	scientific article

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scholarly article

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A reduced basis method for fractional diffusion operators. II (English)

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Joachim Schöberl

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Journal of Numerical Mathematics

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publication date

24 January 2022

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full work available at URL

https://arxiv.org/abs/2005.03574

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zbMATH Keywords

fractional Laplace

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reduced basis method

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interpolation spaces

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Zolotarëv points

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finite element method

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Aspects of an adaptive finite element method for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver

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

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Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

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Spectral approximation of fractional PDEs in image processing and phase field modeling

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Reduced Basis Methods for Fractional Laplace Equations via Extension

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Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications

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Tensor FEM for spectral fractional diffusion

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The periodic patch model for population dynamics with fractional diffusion

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Numerical methods for fractional diffusion

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On sinc quadrature approximations of fractional powers of regularly accretive operators

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Numerical approximation of fractional powers of elliptic operators

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A concave—convex elliptic problem involving the fractional Laplacian

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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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Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations

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Multilevel methods for nonuniformly elliptic operators and fractional diffusion

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\(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices

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Nonlocal Operators with Applications to Image Processing

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ZOLOTAREV PROBLEMS CONNECTED WITH RATIONAL FUNCTIONS

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A unified view of some numerical methods for fractional diffusion

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

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Galerkin proper orthogonal decomposition methods for parabolic problems

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Ten equivalent definitions of the fractional Laplace operator

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What is the fractional Laplacian? A comparative review with new results

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Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations

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

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$hp$-Finite Elements for Fractional Diffusion

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<i>hp</i>-FEM for the fractional heat equation

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A PDE approach to fractional diffusion in general domains: a priori error analysis

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

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Reduced Basis Methods for Partial Differential Equations

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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

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

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A New Type of Identification Problems: Optimizing the Fractional Order in a Nonlocal Evolution Equation

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Extension Problem and Harnack's Inequality for Some Fractional Operators

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An introduction to Sobolev spaces and interpolation spaces

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Numerically solving an equation for fractional powers of elliptic operators

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1515/JNMA-2020-0042

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Sitelinks

Mathematics(1 entry)

mardi Publication:2070268

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