A Lyapunov formulation for efficient solution of the Poisson and convection-diffusion equations by the differential quadrature method

DOI10.1006/jcph.1998.5861zbMath0933.65131OpenAlexW2073769410MaRDI QIDQ1287131

Chang Shu, Wen Chen, Tingxiu Zhong

Publication date: 23 September 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.5861

zbMATH Keywords

computational complexityfast algorithmsconvection-diffusion problemsPoisson equationsdifferential quadrature methodLyapunov algebraic matrix equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Differential quadrature method based on the highest derivative and its applications ⋮ Free vibration analysis of multiple-stepped beams by the differential quadrature element method ⋮ Buckling and post-buckling analysis of extensible beam-columns by using the differential quadrature method ⋮ Elastoplastic buckling analysis of thick rectangular plates by using the differential quadrature method ⋮ Direct expansion method of boundary condition for solving 3D elliptic equations with small parameters in the irregular domain

Cites Work

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• Differential quadrature for multi-dimensional problems
• On the reducibility of centrosymmetric matices - applications in engineering problems
• Efficient matrix-valued algorithms for solving stiff Riccati differential equations
• Solution of the Poisson equation by differential quadrature
• A Hessenberg-Schur method for the problem AX + XB= C
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]

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