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05/28/2023
Quasi-linear fractional-order operators in Lipschitz domains
We prove Besov boundary regularity for solutions of the homogeneous Diri...
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01/09/2023
Γ-convergent LDG method for large bending deformations of bilayer plates
Bilayer plates are slender structures made of two thin layers of differe...
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12/28/2022
Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation
This survey hinges on the interplay between regularity and approximation...
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10/06/2022
Reduced Membrane Model for Liquid Crystal Polymer Networks: Asymptotics and Computation
We examine a reduced membrane model of liquid crystal polymer networks (...
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09/10/2022
Convergent FEM for a membrane model of liquid crystal polymer networks
We design a finite element method (FEM) for a membrane model of liquid c...
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10/06/2021
Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains
We prove Besov regularity estimates for the solution of the Dirichlet pr...
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09/01/2021
Constructive approximation on graded meshes for the integral fractional Laplacian
We consider the homogeneous Dirichlet problem for the integral fractiona...
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05/13/2021
Finite element algorithms for nonlocal minimal graphs
We discuss computational and qualitative aspects of the fractional Plate...
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03/25/2021
Gamma-convergent projection-free finite element methods for nematic liquid crystals: The Ericksen model
The Ericksen model for nematic liquid crystals couples a director field ...
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03/23/2021
Robust BPX preconditioner for the integral fractional Laplacian on bounded domains
We propose and analyze a robust BPX preconditioner for the integral frac...
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11/02/2020
LDG approximation of large deformations of prestrained plates
A reduced model for large deformations of prestrained plates consists of...
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05/07/2020
Local energy estimates for the fractional Laplacian
The integral fractional Laplacian of order s ∈ (0,1) is a nonlocal opera...
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04/11/2020
Quantitative Stability and Error Estimates for Optimal Transport Plans
Optimal transport maps and plans between two absolutely continuous measu...
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02/01/2020
Discontinuous Galerkin Approach to Large Bending Deformation of a Bilayer Plate with Isometry Constraint
We present a computational model of thin elastic bilayers that undergo l...
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12/09/2019
DG Approach to Large Bending Plate Deformations with Isometry Constraint
We propose a new discontinuous Galerkin (dG) method for a geometrically ...
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11/11/2019
A structure-preserving FEM for the uniaxially constrained Q-tensor model of nematic liquid crystals
We consider the one-constant Landau - de Gennes model for nematic liquid...
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06/10/2019