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05/05/2023
Pointwise gradient estimate of the ritz projection
Let Ω⊂ℝ^n be a convex polytope (n ≤ 3). The Ritz projection is the best ...
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04/18/2023
On the Optimal Control of a Linear Peridynamics Model
We study a non-local optimal control problem involving a linear, bond-ba...
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09/13/2022
Convergent, with rates, methods for normalized infinity Laplace, and related, equations
We propose a monotone, and consistent numerical scheme for the approxima...
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05/25/2022
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties
We study diagonally implicit Runge-Kutta (DIRK) schemes when applied to ...
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01/03/2021
Time fractional gradient flows: Theory and numerics
We develop the theory of fractional gradient flows: an evolution aimed a...
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11/05/2020
The Darcy problem with porosity depending exponentially on the pressure
We consider the flow of a viscous incompressible fluid through a porous ...
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10/08/2020
Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators
We study the dependence of the continuity constants for the regularized ...
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06/11/2020
Preconditioned accelerated gradient descent methods for locally Lipschitz smooth objectives with applications to the solution of nonlinear PDEs
We analyze preconditioned Nesterov's accelerated gradient descent method...
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05/15/2020
The stationary Boussinesq problem under singular forcing
In Lipschitz two and three dimensional domains, we study the existence f...
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10/09/2019