Iterative solution schemes for quadratic DRM-MD

DOI10.1002/num.20326zbMath1153.65118OpenAlexW2108965051MaRDI QIDQ3539901

M. Portapila, Henry Power

Publication date: 19 November 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20326

zbMATH Keywords

convection-diffusion equationnumerical exampleseigenvaluesboundary element methodpreconditionersiterative solutionssingular valuesradial basis functioncondition numbersperformancessparsity patternsKrylov iterative solversmulti domain dual reciprocity method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

PDE centres enhancement in the localized regular dual reciprocity method ⋮ A note on the use of the companion solution (Dirichlet Green's function) on meshless boundary element methods ⋮ A stable computation on local boundary-domain integral method for elliptic PDEs ⋮ An efficient and accurate implementation of the localized regular dual reciprocity method

Uses Software

• LSQR

Cites Work

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• DRM multidomain mass conservative interpolation approach for the BEM solution of the two-dimensional Navier-Stokes equations.
• Green element simulations of the transient nonlinear unsaturated flow equation
• Iterative schemes for the solution of system of equations arising from the DRM in multi domain approach, and a comparative analysis of the performance of two different radial basis functions used in the interpolation
• Handbook series linear algebra. Linear least squares solutions by Householder transformations
• Multi-domain dual reciprocity BEM approach for the Navier-Stokes system of equations
• The question of non-self-adjoint extension of the conjugate gradients method is closed
• A convergence analysis of the performance of the DRM-MD boundary integral approach
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Iterative solution techniques in boundary element analysis
• The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems
• The green element method
• Algorithm 842
• BEM SOLUTION FOR THE PROBLEM OF FLUX OF A MULTICOMPONENT MIXTURE OF GASES OUT OF A MULTILAYER LANDFILL
• Some comments on the use of radial basis functions in the dual reciprocity method

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