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01/13/2023
Solving PDEs with Incomplete Information
We consider the problem of numerically approximating the solutions to a ...
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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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12/22/2022
Numerical approximations of thin structure deformations
We review different (reduced) models for thin structures using bending a...
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11/24/2022
Numerical Approximation of Gaussian random fields on Closed Surfaces
We consider the numerical approximation of Gaussian random fields on clo...
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05/11/2022
Error Estimates For A Linear Folding Model
An interior penalty discontinuous Galerkin method is devised to approxim...
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03/30/2022
Optimal Learning
This paper studies the problem of learning an unknown function f from gi...
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08/02/2021
Modeling and simulation of thin sheet folding
The article addresses the mathematical modeling of the folding of a thin...
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06/25/2021
Numerical analysis of the LDG method for large deformations of prestrained plates
A local discontinuous Galerkin (LDG) method for approximating large defo...
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02/17/2021
Finite Element Approximation of Steady Flows of Colloidal Solutions
We consider the mathematical analysis and numerical approximation of a s...
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01/13/2021
Approximation of the spectral fractional powers of the Laplace-Beltrami Operator
We consider numerical approximation of spectral fractional Laplace-Beltr...
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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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06/01/2020
Numerical Simulations of Surface-Quasi Geostrophic Flows on Periodic Domains
We propose a novel algorithm for the approximation of surface-quasi geos...
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05/06/2020
Nonlinear Methods for Model Reduction
The usual approach to model reduction for parametric partial differentia...
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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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08/29/2019