Search Results - "CiarletJr, Patrick"

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  1. 1

    Explicit T -coercivity for the Stokes problem: a coercive finite element discretization by CiarletJr, Patrick, Jamelot, Erell

    Published 18-10-2024
    “…Using the T-coercivity theory as advocated in [Chesnel, Ciarlet, T -coercivity and continuous Galerkin methods: application to transmission problems with sign…”
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    Journal Article
  2. 2

    Analysis of time-harmonic electromagnetic problems with elliptic material coefficients by CiarletJr, Patrick, Modave, Axel

    Published 13-07-2024
    “…We consider time-harmonic electromagnetic problems with material coefficients represented by elliptic fields, covering a wide range of complex and anisotropic…”
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    Journal Article
  3. 3

    Crouzeix-Raviart elements on simplicial meshes in $d$ dimensions by Bohne, Nis-Erik, CiarletJr, Patrick, Sauter, Stefan

    Published 05-07-2024
    “…In this paper we introduce Crouzeix-Raviart elements of general polynomial order $k$ and spatial dimension $d\geq2$ for simplicial finite element meshes. We…”
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    Journal Article
  4. 4

    Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems by Ye, Changqing, Jin, Xingguang, CiarletJr, Patrick, Chung, Eric T

    Published 24-07-2024
    “…The mathematical formulation of sign-changing problems involves a linear second-order partial differential equation in the divergence form, where the…”
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    Journal Article
  5. 5

    An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients by CiarletJR, Patrick, Lassounon, David, Rihani, Mahran

    Published 20-05-2022
    “…In this work, we present a new numerical method for solving the scalar transmission problem with sign-changing coefficients. In electromagnetism, such a…”
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    Journal Article
  6. 6

    On the convergence in $H^1$-norm for the fractional Laplacian by Borthagaray, Juan Pablo, CiarletJr, Patrick

    Published 17-10-2018
    “…We consider the numerical solution of the fractional Laplacian of index $s\in(1/2,1)$ in a bounded domain $\Omega$ with homogeneous boundary conditions. Its…”
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    Journal Article
  7. 7

    A Family of Crouzeix-Raviart Finite Elements in 3D by CiarletJr, Patrick, Dunkl, Charles F, Sauter, Stefan A

    Published 09-03-2017
    “…In this paper we will develop a family of non-conforming "Crouzeix-Raviart" type finite elements in three dimensions. They consist of local polynomials of…”
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    Journal Article