A spectral element solution of the Poisson equation with shifted boundary polynomial corrections: influence of the surrogate to true boundary mapping and an asymptotically preserving Robin formulation

DOI10.1007/s10915-024-02713-zMaRDI QIDQ6645939

Allan P. Engsig-Karup, Mario Ricchiuto, Jens Visbech

Publication date: 29 November 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

spectral element methodRobin boundary conditionsPoisson problemshifted boundary method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Extrapolation to the limit, deferred corrections (65B05) Numerical interpolation (65D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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