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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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07/10/2023
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides
In a time-harmonic setting, we show for heterogeneous acoustic and homog...
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06/29/2023
On interpolation spaces of piecewise polynomials on mixed meshes
We consider fractional Sobolev spaces H^θ, θ∈ (0,1), on 2D domains and H...
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11/08/2022
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs
We consider scalar semilinear elliptic PDEs where the nonlinearity is st...
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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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09/05/2022
Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations
A generalized finite element method is proposed for solving a heterogene...
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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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02/04/2022
An exponentially convergent discretization for space-time fractional parabolic equations using hp-FEM
We consider a space-time fractional parabolic problem. Combining a sinc-...
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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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12/13/2021
Goal-oriented adaptive finite element method for semilinear elliptic PDEs
We formulate and analyze a goal-oriented adaptive finite element method ...
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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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05/13/2021
Mortar coupling of hp-discontinuous Galerkin and boundary element methods for the Helmholtz equation
We design and analyze a coupling of a discontinuous Galerkin finite elem...
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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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12/23/2020
Optimal convergence rates in L^2 for a first order system least squares finite element method. Part I: homogeneous boundary conditions
We analyze a divergence based first order system least squares method ap...
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10/27/2020
Time domain boundary integral equations and convolution quadrature for scattering by composite media
We consider acoustic scattering in heterogeneous media with piecewise co...
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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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06/04/2020
Metastable Speeds in the Fractional Allen-Cahn Equation
We study numerically the one-dimensional Allen-Cahn equation with the sp...
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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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04/07/2020
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
We present a FEM-BEM coupling strategy for time-harmonic acoustic scatte...
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03/04/2020
Runge-Kutta approximation for C_0-semigroups in the graph norm with applications to time domain boundary integral equations
We consider the approximation to an abstract evolution problem with inho...
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12/19/2019