About the ellipticity of the Chebyshev-Gauss-Radau discrete Laplacian with Neumann condition
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Publication:2638252
DOI10.1016/j.jcp.2010.06.013zbMath1197.65188OpenAlexW2069541756MaRDI QIDQ2638252
Gérard Labrosse, C. Delcarte, Benoît Trouette
Publication date: 15 September 2010
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2010.06.013
mappingnumerical exampleseigenvaluesNeumann boundary conditionellipticityspectral collocation methodpolar Laplacian
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Uses Software
Cites Work
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- Chebyshev 3-D spectral and 2-D pseudospectral solvers for the Helmholtz equation
- On the eigenvalues of second-order spectral differentiation operators
- A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
- Spectral collocation time-domain modeling of diffractive optical elements
- A spectral collocation method to solve Helmholtz problems with boundary conditions involving mixed tangential and normal derivatives
- Direct solution of partial difference equations by tensor product methods
- High-Order Direct Stokes Solvers with or Without Temporal Splitting: Numerical Investigations of Their Comparative Properties
- Stability of the axisymmetric buoyant-capillary flows in a laterally heated liquid bridge
- Direct numerical simulation of the flow in a lid-driven cubical cavity
- On the numerical treatment of viscous singularities in wall-confined thermocapillary convection
- Sensitivity of the liquid bridge hydrodynamics to local capillary contributions
- Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials
- Thermocapillary Flows and Vorticity Singularity
- Accuracy, Resolution, and Stability Properties of a Modified Chebyshev Method