Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian (Q4992224)

scientific article; zbMATH DE number 7356034

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English	Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	scientific article; zbMATH DE number 7356034

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instance of

scholarly article

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title

Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian (English)

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Mathematics of Computation

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publication date

7 June 2021

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full work available at URL

https://arxiv.org/abs/1903.10409

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zbMATH Keywords

integral fractional Laplacian

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convergence rates

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a posteriori error estimates

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mesh adaptation

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MaRDI profile type

MaRDI publication profile

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cites work

A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian

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A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations

0 references

Finite element approximations of the nonhomogeneous fractional Dirichlet problem

0 references

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

0 references

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

0 references

Q3730941

0 references

Energy norm based error estimators for adaptive BEM for hypersingular integral equations

0 references

Tensor FEM for spectral fractional diffusion

0 references

Adaptive finite element methods with convergence rates

0 references

Q4439547

0 references

Numerical methods for fractional diffusion

0 references

Numerical approximation of the integral fractional Laplacian

0 references

Numerical approximation of fractional powers of elliptic operators

0 references

Numerical approximation of fractional powers of regularly accretive operators

0 references

On the Convergence in $H^1$-Norm for the Fractional Laplacian

0 references

Linear and nonlinear fractional elliptic problems

0 references

Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates

0 references

An Extension Problem Related to the Fractional Laplacian

0 references

Axioms of adaptivity

0 references

Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method

0 references

A PDE approach to fractional diffusion: a posteriori error analysis

0 references

A Convergent Adaptive Algorithm for Poisson’s Equation

0 references

Polynomial Approximation of Functions in Sobolev Spaces

0 references

Q4399897

0 references

Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary elements methods. Part I. The two-dimensional case

0 references

Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary element methods. II: The three-dimensional case

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Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation

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Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation

0 references

Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems

0 references

Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method

0 references

Adaptive boundary element methods with convergence rates

0 references

Convergence rates of adaptive methods, Besov spaces, and multilevel approximation

0 references

Approximation classes for adaptive higher order finite element approximation

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Q3470840

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Fractional Laplacians on domains, a development of Hörmander's theory of $\mu$-transmission pseudodifferential operators

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

0 references

On 2D newest vertex bisection: optimality of mesh-closure and $H ^{1}$-stability of $L _{2}$-projection

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Ten equivalent definitions of the fractional Laplace operator

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Q4953888

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

0 references

A posteriori error analysis for a class of integral equations and variational inequalities

0 references

Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions

0 references

Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations

0 references

Optimality of a standard adaptive finite element method

0 references

The completion of locally refined simplicial partitions created by bisection

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A class of second order difference approximations for solving space fractional diffusion equations

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Adaptive finite element method for fractional differential equations using hierarchical matrices

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Identifiers

zbMATH Open document ID

1478.65121

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4992224