On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion
Fuente:
arXiv
Saved in:
| Main Authors: | Faustmann, Markus, Melenk, Jens Markus, Parvizi, Maryam |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
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)
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)
Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D
by: Faustmann, Markus, et al.
Published: (2022)
by: Faustmann, Markus, et al.
Published: (2022)
Exponential meshes and $\mathcal{H}$-matrices
by: Angleitner, Niklas, et al.
Published: (2022)
by: Angleitner, Niklas, et al.
Published: (2022)
$\mathcal{H}$-inverses for RBF interpolation
by: Angleitner, Niklas, et al.
Published: (2021)
by: Angleitner, Niklas, et al.
Published: (2021)
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)
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)
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)
$\mathcal{H}$-matrix approximability of inverses of discretizations of the fractional Laplacian
by: Karkulik, Michael, et al.
Published: (2018)
by: Karkulik, Michael, et al.
Published: (2018)
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 $hp$-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)
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)
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)
$hp$-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)
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)
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)
On superconvergence of Runge-Kutta convolution quadrature for the wave equation
by: Melenk, Jens Markus, et al.
Published: (2019)
by: Melenk, Jens Markus, et al.
Published: (2019)
Optimal convergence rates in $L^2$ for a first order system least squares finite element method -- Part II: inhomogeneous Robin boundary conditions
by: Bernkopf, Maximilian, et al.
Published: (2024)
by: Bernkopf, Maximilian, et al.
Published: (2024)
Metastable Speeds in the Fractional Allen-Cahn Equation
by: Achleitner, Franz, et al.
Published: (2020)
by: Achleitner, Franz, et al.
Published: (2020)
Multilevel Tau preconditioners for symmetrized multilevel Toeplitz systems with applications to solving space fractional diffusion equations
by: Li, Congcong, et al.
Published: (2024)
by: Li, Congcong, et al.
Published: (2024)
Runge-Kutta approximation for $C_0$-semigroups in the graph norm with applications to time domain boundary integral equations
by: Rieder, Alexander, et al.
Published: (2020)
by: Rieder, Alexander, et al.
Published: (2020)
Refined localization spaces, Kondratiev spaces with fractional smoothness and extension operators
by: Hansen, Markus, et al.
Published: (2024)
by: Hansen, Markus, et al.
Published: (2024)
Determining the space dependent coefficients in space-time fractional diffusion equations via Krylov preconditioning
by: Ilyas, Asim, et al.
Published: (2025)
by: Ilyas, Asim, et al.
Published: (2025)
Structure-preserving preconditioning of discrete space-fractional diffusion equations with variable coefficient and θ-Method
by: Khan, Muhammad Faisal, et al.
Published: (2026)
by: Khan, Muhammad Faisal, et al.
Published: (2026)
The stability of split-preconditioned FGMRES in four precisions
by: Carson, Erin, et al.
Published: (2023)
by: Carson, Erin, et al.
Published: (2023)
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)
Optimal preconditioning techniques for finite volume approximation of three-dimensional conservative space-fractional diffusion equations
by: Qu, Wei, et al.
Published: (2025)
by: Qu, Wei, et al.
Published: (2025)
Multigrid preconditioning of singularly perturbed convection-diffusion equations
by: Shahid, M., et al.
Published: (2023)
by: Shahid, M., et al.
Published: (2023)
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)
Point Jacobi-type preconditioning and parameter tuning for Calderon-preconditioned Burton-Miller method in transmission problems
by: Tomoyasu, Keigo, et al.
Published: (2025)
by: Tomoyasu, Keigo, et al.
Published: (2025)
Time domain boundary integral equations and convolution quadrature for scattering by composite media (extended preprint)
by: Rieder, Alexander, et al.
Published: (2020)
by: Rieder, Alexander, et al.
Published: (2020)
Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems
by: Melenk, Jens M., et al.
Published: (2019)
by: Melenk, Jens M., et al.
Published: (2019)
$hp$-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)
A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures
by: Franceschini, Andrea, et al.
Published: (2021)
by: Franceschini, Andrea, et al.
Published: (2021)
A novel fourth-order scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations and its optimal preconditioned solver
by: Qu, Wei, et al.
Published: (2024)
by: Qu, Wei, et al.
Published: (2024)
Spectral analysis and sine transform based preconditioning for a structure preserving stabilized scheme approximating the space-fractional Allen Cahn equation with logarithmic potential
by: Ahmad, Danyal, et al.
Published: (2026)
by: Ahmad, Danyal, et al.
Published: (2026)
Fractional Dissipative PDEs
by: Achleitner, Franz, et al.
Published: (2023)
by: Achleitner, Franz, et al.
Published: (2023)
Similar Items
-
Caccioppoli-type estimates and $\mathcal{H}$-Matrix approximations to inverses for FEM-BEM couplings
by: Faustmann, Markus, et al.
Published: (2020) -
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) -
Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D
by: Faustmann, Markus, et al.
Published: (2022) -
Exponential meshes and $\mathcal{H}$-matrices
by: Angleitner, Niklas, et al.
Published: (2022)