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07/21/2023
Weighted analytic regularity for the integral fractional Laplacian in polyhedra
On polytopal domains in ℝ^3, we prove weighted analytic regularity of so...
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02/22/2023
FEM-BEM coupling in Fractional Diffusion
We derive and analyze a fully computable discrete scheme for fractional ...
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01/13/2023
Fractional Diffusion in the full space: decay and regularity
We consider fractional partial differential equations posed on the full ...
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09/27/2022
Two-level error estimation for the integral fractional Laplacian
For the singular integral definition of the fractional Laplacian, we con...
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09/23/2022
Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons
We prove exponential convergence in the energy norm of hp finite element...
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04/08/2022
Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D
We prove weighted analytic regularity for the solution of the integral f...
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03/18/2022
Exponential meshes and ℋ-matrices
In our previous works, we proved that the inverse of the stiffness matri...
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12/15/2021
Weighted analytic regularity for the integral fractional Laplacian in polygons
We prove weighted analytic regularity of solutions to the Dirichlet prob...
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09/13/2021
ℋ-inverses for RBF interpolation
We consider the interpolation problem for a class of radial basis functi...
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03/27/2021
ℋ-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations
The inverse of the stiffness matrix of the time-harmonic Maxwell equatio...
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08/26/2020
Caccioppoli-type estimates and ℋ-Matrix approximations to inverses for FEM-BEM couplings
We consider three different methods for the coupling of the finite eleme...
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05/28/2020
Local convergence of the FEM for the integral fractional Laplacian
We provide for first order discretizations of the integral fractional La...
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05/11/2020
Approximating inverse FEM matrices on non-uniform meshes with H-matrices
We consider the approximation of the inverse of the finite element stiff...
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05/11/2020
Approximating inverse FEM matrices on non-uniform meshes with H-matrice
We consider the approximation of the inverse of the finite element stiff...
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12/19/2019