High‐order residual distribution schemes on quadrilateral meshes
Copyright policy )High‐order residual distribution schemes on quadrilateral meshes
AbstractThis article deals with the latest development in the construction of monotone high‐order residual distribution schemes (RDS) on quadrilateral meshes. In the first part we give some generalities about the way upwind high‐order RDS is designed. In the second part, some standard schemes are described. Then, the design of a stabilization to help the convergence is shown. The last part of this article is dedicated to the results obtained with these schemes. Copyright © 2007 John Wiley & Sons, Ltd.
high-order schemes, nonlinear first-order equation, numerical examples, quadrilateral elements, finite element method, Boundary value problems for nonlinear first-order PDEs, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, residual distributive schemes, stabilization
high-order schemes, nonlinear first-order equation, numerical examples, quadrilateral elements, finite element method, Boundary value problems for nonlinear first-order PDEs, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, residual distributive schemes, stabilization
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