Numerical techniques for two-dimensional Laplacian problems

DOI10.1016/0045-7825(75)90044-4zbMath0324.65050OpenAlexW1994001534MaRDI QIDQ1224864

G. T. Symm, N. Papamichael

Publication date: 1975

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(75)90044-4

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Computational relaxation method for modeling electrostatic systems with non-trivial geometries, Treatment of singularities in exterior fluid domains with corners using the boundary element method, The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method, A numerical solution of the membrane eigenvalue problem, The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method, Two numerical methods for the conformal mapping of simply-connected domains, A partition of unity enriched dual boundary element method for accurate computations in fracture mechanics, The numerical solution of plane potential problems by improved boundary integral equation methods, Special boundary approximation methods for Laplace equation problems with boundary singularities--applications to the Motz problem, Algorithms for classic dual trigonometric equations, On the use of conformal transformations for the numerical solution of harmonic boundary value problems, Konvergenzverhalten bei der numerischen Lösung von Randwertproblemen mittels eines Doppelschichtpotential-Ansatzes, On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method, Homogenized equations of motion for rod bundles in fluid with periodic structure, Unnamed Item, Tau-lines: A new hybrid approach to the numerical treatment of crack problems based on the Tau method

Cites Work

• Integralgleichungen für einige Randwertprobleme für Gebiete mit Ecken
• Finite-difference solution of Poisson's equation in rectangles of arbitrary proportions
• Practical applications of an integral equation method for the solution of Laplace's equation
• A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains
• Symmetric decmposition of positive definite band matrices
• An integral equation method in conformal mapping
• Treatment of harmonic mixed boundary problems by conformal transformation methods
• On the numerical calculation of elliptic integrals of the first and second kind and the elliptic functions of Jacobi
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
• Integral equation methods in potential theory. I
• The treatment of singularities of partial differential equations by relaxation methods
• THE RELAXATION TREATMENT OF SINGULAR POINTS IN POISSON'S EQUATION
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item