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An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM

IMA journal of numerical analysis, 2023-08, Vol.43 (4), p.2352-2376

2023

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On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion

ESAIM: Mathematical Modelling and Numerical Analysis, 2021-03, Vol.55 (2), p.595-625

2021

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

Mathematics of computation, 2021-07, Vol.90 (330), p.1557-1587

2021

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hp -FEM for the fractional heat equation

IMA journal of numerical analysis, 2021-01, Vol.41 (1), p.412-454

2021

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H-matrix approximability of inverses of discretizations of the fractional Laplacian

Advances in computational mathematics, 2019-12, Vol.45 (5-6), p.2893-2919

2019

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Stable decompositions of hp -BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D

ESAIM: Mathematical Modelling and Numerical Analysis, 2020-01, Vol.54 (1), p.145-180

2020

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Time domain boundary integral equations and convolution quadrature for scattering by composite media

Mathematics of computation, 2022-09, Vol.91 (337), p.2165-2195

2022

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Local convergence of the boundary element method on polyhedral domains

Numerische Mathematik, 2018, Vol.140 (3), p.593-637

2018

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Runge-Kutta convolution quadrature for operators arising in wave propagation

Numerische Mathematik, 2011-09, Vol.119 (1), p.1-20

2011

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Optimal a priori estimates for higher order finite elements for elliptic interface problems

Applied numerical mathematics, 2010, Vol.60 (1), p.19-37

2010

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Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs

ESAIM: Mathematical Modelling and Numerical Analysis, 2023-07, Vol.57 (4), p.2193-2225

2023

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Existence of \mathcal{H}-matrix approximants to the inverses of BEM matrices: The simple-layer operator

Mathematics of computation, 2016-01, Vol.85 (297), p.119-152

2016

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WAVENUMBER-EXPLICIT hp-BEM FOR HIGH FREQUENCY SCATTERING

SIAM journal on numerical analysis, 2011-01, Vol.49 (5/6), p.2340-2363

2011

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Local Convergence of the FEM for the Integral Fractional Laplacian

SIAM journal on numerical analysis, 2022-06, Vol.60 (3), p.1055-1082

2022

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Exponential meshes and H-matrices

Computers & mathematics with applications (1987), 2023-01, Vol.130, p.21-40

2023

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On superconvergence of Runge–Kutta convolution quadrature for the wave equation

Numerische Mathematik, 2021, Vol.147 (1), p.157-188, Article 157

2021

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mathcal {H}$$-inverses for RBF interpolation

Advances in computational mathematics, 2023-12, Vol.49 (6), Article 85

2023

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Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian in Polygons

SIAM journal on numerical analysis, 2023-12, Vol.61 (6), p.2601-2622

2023

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Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings

Numerische Mathematik, 2022-03, Vol.150 (3), p.849-892

2022

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Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons

SIAM journal on mathematical analysis, 2022-12, Vol.54 (6), p.6323-6357

2022

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{\mathcal{H}}$$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations

Advances in computational mathematics, 2022-10, Vol.48 (5), Article 59

2022

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Optimal convergence rates in L 2 for a first order system least squares finite element method: Part I: Homogeneous boundary conditions

ESAIM: Mathematical Modelling and Numerical Analysis, 2023-01, Vol.57 (1), p.107-141

2023

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Editorial

SN partial differential equations and applications, 2022-10, Vol.3 (5), Article 58

2022

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

Advances in computational mathematics, 2019-12, Vol.45 (5-6), p.2893-2919

2019

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H-inverses for RBF interpolation

Advances in computational mathematics, 2023-12, Vol.49 (6)

2023

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An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM

On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion

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

hp -FEM for the fractional heat equation

H-matrix approximability of inverses of discretizations of the fractional Laplacian

Stable decompositions of hp -BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D

Time domain boundary integral equations and convolution quadrature for scattering by composite media

Local convergence of the boundary element method on polyhedral domains

Runge-Kutta convolution quadrature for operators arising in wave propagation

Optimal a priori estimates for higher order finite elements for elliptic interface problems

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs

Existence of \mathcal{H}-matrix approximants to the inverses of BEM matrices: The simple-layer operator

WAVENUMBER-EXPLICIT hp-BEM FOR HIGH FREQUENCY SCATTERING

Local Convergence of the FEM for the Integral Fractional Laplacian

Exponential meshes and H-matrices

On superconvergence of Runge–Kutta convolution quadrature for the wave equation

mathcal {H}$$-inverses for RBF interpolation

Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons

Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings

Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons

{\mathcal{H}}$$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations

Optimal convergence rates in L 2 for a first order system least squares finite element method: Part I: Homogeneous boundary conditions

Editorial

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

H-inverses for RBF interpolation

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