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04/21/2023
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions
We first give a general error estimate for the nonconforming approximati...
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02/13/2023
Convergence of the incremental projection method using conforming approximations
We prove the convergence of an incremental projection numerical scheme f...
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08/08/2022
Extensions of derivations and symmetric operators
Given a densely defined skew-symmetric operators A 0 on a real or comple...
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06/14/2022
A new convergence proof for approximations of the Stefan problem
We consider the Stefan problem, firstly with regular data and secondly w...
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01/11/2021
Exact pressure elimination for the Crouzeix-Raviart scheme applied to the Stokes and Navier-Stokes problems
We show that, using the Crouzeix-Raviart scheme, a cheap algebraic trans...
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07/14/2020
Non-conforming finite elements on polytopal meshes
In this work we present a generic framework for non-conforming finite el...
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03/20/2020
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations
Gradient schemes is a framework that enables the unified convergence ana...
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08/09/2019