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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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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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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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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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12/10/2020
Double exponential quadrature for fractional diffusion
We introduce a novel discretization technique for both elliptic and para...
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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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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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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