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06/29/2023
Localized implicit time stepping for the wave equation
This work proposes a discretization of the acoustic wave equation with p...
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01/17/2023
Stability and guaranteed error control of approximations to the Monge–Ampère equation
This paper analyzes a regularization scheme of the Monge–Ampère equation...
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11/24/2022
Computational multiscale methods for nondivergence-form elliptic partial differential equations
This paper proposes novel computational multiscale methods for linear se...
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09/26/2022
Continuous finite elements satisfying a strong discrete Miranda–Talenti identity
This article introduces continuous H^2-nonconforming finite elements in ...
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12/20/2021
Convergence of a regularized finite element discretization of the two-dimensional Monge-Ampère equation
This paper proposes a regularization of the Monge-Ampère equation in pla...
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10/06/2021
Computational lower bounds of the Maxwell eigenvalues
A method to compute guaranteed lower bounds to the eigenvalues of the Ma...
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10/04/2020
Mixed finite element approximation of periodic Hamilton–Jacobi–Bellman problems with application to numerical homogenization
In the first part of the paper, we propose and rigorously analyze a mixe...
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09/14/2020
