Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D
Fuente:
arXiv
Saved in:
| Main Authors: | Faustmann, Markus, Marcati, Carlo, Melenk, Jens Markus, Schwab, Christoph |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian on cuboids
by: Bahr, Björn, et al.
Published: (2026)
by: Bahr, Björn, et al.
Published: (2026)
An implementation of hp-FEM for the fractional Laplacian
by: Bahr, Björn, et al.
Published: (2024)
by: Bahr, Björn, et al.
Published: (2024)
Local convergence of the FEM for the integral fractional Laplacian
by: Faustmann, Markus, et al.
Published: (2020)
by: Faustmann, Markus, et al.
Published: (2020)
Wavenumber-explicit $hp$-FEM analysis of Maxwell's equations with impedance boundary conditions in piecewise smooth media
by: Melenk, Jens Markus, et al.
Published: (2026)
by: Melenk, Jens Markus, et al.
Published: (2026)
Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices
by: Angleitner, Niklas, et al.
Published: (2020)
by: Angleitner, Niklas, et al.
Published: (2020)
Caccioppoli-type estimates and $\mathcal{H}$-Matrix approximations to inverses for FEM-BEM couplings
by: Faustmann, Markus, et al.
Published: (2020)
by: Faustmann, Markus, et al.
Published: (2020)
Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations
by: Ma, Chupeng, et al.
Published: (2022)
by: Ma, Chupeng, et al.
Published: (2022)
Exponential meshes and $\mathcal{H}$-matrices
by: Angleitner, Niklas, et al.
Published: (2022)
by: Angleitner, Niklas, et al.
Published: (2022)
$hp$-FEM for the fractional heat equation
by: Melenk, Jens Markus, et al.
Published: (2019)
by: Melenk, Jens Markus, et al.
Published: (2019)
An exponentially convergent discretization for space-time fractional parabolic equations using $hp$-FEM
by: Melenk, Jens Markus, et al.
Published: (2022)
by: Melenk, Jens Markus, et al.
Published: (2022)
Exponential Convergence of $hp$ FEM for Spectral Fractional Diffusion in Polygons
by: Banjai, Lehel, et al.
Published: (2020)
by: Banjai, Lehel, et al.
Published: (2020)
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion
by: Faustmann, Markus, et al.
Published: (2019)
by: Faustmann, Markus, et al.
Published: (2019)
Regularity of vector fields with piecewise regular curl and divergence
by: Melenk, Jens Markus, et al.
Published: (2024)
by: Melenk, Jens Markus, et al.
Published: (2024)
Wavenumber-explicit analytic regularity of the heterogeneous Maxwell equations with impedance boundary conditions
by: Melenk, Jens Markus, et al.
Published: (2026)
by: Melenk, Jens Markus, et al.
Published: (2026)
Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media
by: Bernkopf, M., et al.
Published: (2022)
by: Bernkopf, M., et al.
Published: (2022)
$hp$-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains
by: Banjai, Lehel, et al.
Published: (2020)
by: Banjai, Lehel, et al.
Published: (2020)
$\mathcal{H}$-inverses for RBF interpolation
by: Angleitner, Niklas, et al.
Published: (2021)
by: Angleitner, Niklas, et al.
Published: (2021)
$\mathcal{H}$-matrix approximability of inverses of discretizations of the fractional Laplacian
by: Karkulik, Michael, et al.
Published: (2018)
by: Karkulik, Michael, et al.
Published: (2018)
Analysis of the $hp$-version of a first order system least squares method for the Helmholtz equation
by: Bernkopf, Maximilian, et al.
Published: (2018)
by: Bernkopf, Maximilian, et al.
Published: (2018)
The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect
by: Galkowski, Jeffrey, et al.
Published: (2022)
by: Galkowski, Jeffrey, et al.
Published: (2022)
Sparsity for Infinite-Parametric Holomorphic Functions on Gaussian Spaces
by: Marcati, Carlo, et al.
Published: (2025)
by: Marcati, Carlo, et al.
Published: (2025)
Optimal convergence rates in $L^2$ for a first order system least squares finite element method. Part I: homogeneous boundary conditions
by: Bernkopf, Maximilian, et al.
Published: (2020)
by: Bernkopf, Maximilian, et al.
Published: (2020)
A mixed FEM for a time-fractional Fokker-Planck model
by: Karaa, Samir, et al.
Published: (2023)
by: Karaa, Samir, et al.
Published: (2023)
p and hp Spectral Element Methods for Elliptic Boundary Layer Problems
by: Husain, Akhlaq, et al.
Published: (2024)
by: Husain, Akhlaq, et al.
Published: (2024)
Stable decompositions of $hp$-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D
by: Karkulik, Michael, et al.
Published: (2018)
by: Karkulik, Michael, et al.
Published: (2018)
Analysis of a FEM-MCM Discretization for the 2D/3D stochastic closed-loop geothermal system
by: Qin, Yi, et al.
Published: (2023)
by: Qin, Yi, et al.
Published: (2023)
The spectral fractional Laplacian with measure valued right hand sides: analysis and approximation
by: Otarola, Enrique, et al.
Published: (2026)
by: Otarola, Enrique, et al.
Published: (2026)
Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes
by: Marcati, Carlo, et al.
Published: (2024)
by: Marcati, Carlo, et al.
Published: (2024)
Fractional Dissipative PDEs
by: Achleitner, Franz, et al.
Published: (2023)
by: Achleitner, Franz, et al.
Published: (2023)
Besov regularity of non-linear parabolic PDEs on non-convex polyhedral domains
by: Dahlke, Stephan, et al.
Published: (2021)
by: Dahlke, Stephan, et al.
Published: (2021)
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation
by: Körner, Jannis, et al.
Published: (2023)
by: Körner, Jannis, et al.
Published: (2023)
Weakly-singular formulation of the Fractional Laplacian operator
by: Bruno, Oscar P., et al.
Published: (2026)
by: Bruno, Oscar P., et al.
Published: (2026)
Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces
by: Hansen, Markus, et al.
Published: (2024)
by: Hansen, Markus, et al.
Published: (2024)
Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations
by: Caballero, Josefa, et al.
Published: (2025)
by: Caballero, Josefa, et al.
Published: (2025)
The Biot-Allard poro-elasticity system: equivalent forms and well-posedness
by: Stokke, Jakob S., et al.
Published: (2024)
by: Stokke, Jakob S., et al.
Published: (2024)
A Nonlocal $p$-Laplacian Interface Model with Sharp Interface
by: Shi, Kehan, et al.
Published: (2026)
by: Shi, Kehan, et al.
Published: (2026)
Two methods addressing variable-exponent fractional initial and boundary value problems and Abel integral equation
by: Zheng, Xiangcheng
Published: (2024)
by: Zheng, Xiangcheng
Published: (2024)
Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion
by: Do, Ngoc, et al.
Published: (2024)
by: Do, Ngoc, et al.
Published: (2024)
FEM-BEM coupling for the high-frequency Helmholtz problem
by: Melenk, Jens Markus, et al.
Published: (2024)
by: Melenk, Jens Markus, et al.
Published: (2024)
On the rate of convergence of Yosida approximation for the nonlocal Cahn-Hilliard equation
by: Gwiazda, Piotr, et al.
Published: (2023)
by: Gwiazda, Piotr, et al.
Published: (2023)
Similar Items
-
Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian on cuboids
by: Bahr, Björn, et al.
Published: (2026) -
An implementation of hp-FEM for the fractional Laplacian
by: Bahr, Björn, et al.
Published: (2024) -
Local convergence of the FEM for the integral fractional Laplacian
by: Faustmann, Markus, et al.
Published: (2020) -
Wavenumber-explicit $hp$-FEM analysis of Maxwell's equations with impedance boundary conditions in piecewise smooth media
by: Melenk, Jens Markus, et al.
Published: (2026) -
Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices
by: Angleitner, Niklas, et al.
Published: (2020)