A fast algorithm for solving the first biharmonic boundary value problem

DOI10.1007/BF02252095zbMath0406.65046MaRDI QIDQ1257760

Marián Vajteršic

Publication date: 1979

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

Boundary Value ProblemFast AlgorithmIteratiRectangular Region

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (3)

Spline interpolation techniques applied to the study of geophysical data ⋮ Parallel computations in linear algebra. II ⋮ Some iterative Poisson solvers applied to numerical solution of the model fourth-order elliptic problem

Cites Work

• Parallel Poisson and biharmonic solvers
• Solving the biharmonic equation in a square
• The Direct Solution of the Biharmonic Equation on Rectangular Regions and the Poisson Equation on Irregular Regions
• A Fast Karhunen-Loeve Transform for a Class of Random Processes
• Solving the Biharmonic Equation as Coupled Finite Difference Equations
• On Direct Methods for Solving Poisson’s Equations
• Fast finite-difference solution of biharmonic problems
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