Search Results - "CiarletJr, Patrick"
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Explicit T -coercivity for the Stokes problem: a coercive finite element discretization
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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Analysis of time-harmonic electromagnetic problems with elliptic material coefficients
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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Crouzeix-Raviart elements on simplicial meshes in $d$ dimensions
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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Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems
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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An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients
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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On the convergence in $H^1$-norm for the fractional Laplacian
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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A Family of Crouzeix-Raviart Finite Elements in 3D
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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