L'équation de Laplace avec conditions aux limites discontinues : convergence d'une discrétisation par éléments spectraux

DOI10.1016/S0764-4442(97)87905-0zbMath0877.65073OpenAlexW2080961121MaRDI QIDQ4346435

Christine Bernardi, Andreas Karageorghis

Publication date: 10 December 1997

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(97)87905-0

zbMATH Keywords

convergenceLaplace equationmortar spectral element methoddiscontinuous Dirichlet boundary conditions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

The Dirichlet problem for the Laplacian with discontinuous boundary data in a 2D multiply connected exterior domain ⋮ On existence of a classical solution and nonexistence of a weak solution to the Dirichlet problem for the Laplacian with discontinuous boundary data

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