The use of the Galerkin method with a basis of B-splines for the solution of one-dimensional primitive equations

DOI10.1016/0021-9991(78)90029-3zbMath0387.65061OpenAlexW1975841560MaRDI QIDQ1249934

K. Appert

Publication date: 1978

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(78)90029-3

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Wave equation (35L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (5)

Remarks on normal operators on Banach spaces ⋮ Finite element method for one-dimensional and two-dimensional time dependent problems with B-splines ⋮ On formulating a three-dimensional hydrodynamic sea model with an arbitrary variation of vertical eddy viscosity ⋮ Derivation of strictly stable high order difference approximations for variable-coefficient PDE ⋮ A critical evaluation of the resolution properties of B-spline and compact finite difference methods

Cites Work

• On calculating with B-splines
• Finite element analysis of long-period water waves
• The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines
• Package for Calculating with B-Splines
• Generalized Finite-Difference Schemes
• Numerical simulation of incompressible flows within simple boundaries: accuracy
• Galerkin Methods for First Order Hyperbolics: An Example
• Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations
• The Numerical Evaluation of B-Splines
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