scientific article
From MaRDI portal
Publication:3750075
zbMath0609.65078MaRDI QIDQ3750075
Publication date: 1987
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cauchy integral formulaFORTRAN computer programsAnalytic Function Methodboundary errorsComplex Variable Boundary Element Method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Boundary value problems for higher-order elliptic equations (35J40) Integral representations of solutions to PDEs (35C15) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Discrete potential theory (31C20) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
Related Items
A complex variable boundary element method for elliptic partial differential equations in a multiple-connected region ⋮ Boundary element solution of the plane elasticity problem for an anisotropic body with free smooth boundaries ⋮ Complex logarithms, Cauchy principal values, and the complex variable boundary element method ⋮ Grid generation in two dimensions using the complex variable boundary element method ⋮ Interval arithmetic in modeling and solving Laplace's equation problems with uncertainly defined boundary shape ⋮ Solution of de Saint Venant flexure-torsion problem for orthotropic beam via LEM (line element-less method) ⋮ A new integral identity for potential polygonal domain problems described by parametric linear functions. ⋮ A complex variable boundary element method for solving a steady-state advection-diffusion-reaction equation ⋮ Complex variable boundary element method for potential flow with thin objects. ⋮ Approximations by the Cauchy-type integrals with piecewise linear densities. ⋮ Unified Complex Variable Element-Free Methods: A Comprehensive Framework of Complex Variable Meshless Approaches ⋮ CV dual reciprocity BEM for transient flow in blocky systems with singular points and lines of discontinuities ⋮ Development and implementation of some BEM variants - A critical review ⋮ A complex parameter boundary element method for modeling AC impedances of electrochemical systems by analytic continuation-application to a slit geometry ⋮ CV circular-arc ordinary and (multi-) wedge elements for harmonic problems ⋮ The complex polynomial method with a least-squares fit to boundary conditions ⋮ Application of the CVBEM to multiply connected regions ⋮ Theoretical developments in the complex variable boundary element method ⋮ Determination of groundwater flownets, fluxes, velocities, and travel times using the complex variable boundary element method ⋮ Modeling of hydrodynamic dispersion and two-phase flow in the complex variable boundary element method. ⋮ CVBEM for a system of second-order elliptic partial differential equations ⋮ The CVBEM for multiply connected domains using a linear trial function ⋮ A computational approach to determining CVBEM approximate boundaries ⋮ The complex variable fast multipole boundary element method for the analysis of strongly inhomogeneous media ⋮ A complex variable boundary element method for axisymmetric heat conduction in a nonhomogeneous solid ⋮ A complex boundary integral method for multiple circular holes in an infinite plane. ⋮ Complex potential by hydrodynamic analogy for the determination of flexure-torsion induced stresses in de Saint Venant beams with boundary singularities ⋮ Unnamed Item ⋮ Modeling the shape of boundary using NURBS curves directly in modified boundary integral equations for Laplace's equation ⋮ On solvability of linear systems generated by the complex variable boundary element method ⋮ Complex variable boundary element methods for the solution of potential problems in simply and multiply connected domains ⋮ A Cauchy integral element for power-type singularities ⋮ Complex variable element solution of potential flow problems using Taylor series for error analysis ⋮ Expanding the CVBEM approximation in a series ⋮ On the Separation of Singularities in the Numerical Solution of Integral Equations of the Potential Theory ⋮ Clifford algebra valued boundary integral equations for three-dimensional elasticity ⋮ Complex variable boundary element method for torsion of anisotropic bars ⋮ Modelling infinite-conductivity line sinks in the complex variable boundary-element method ⋮ Using the complex polynomial method with Mathematica to model problems involving the Laplace and Poisson equations ⋮ Treatment of Neumann boundaries in the complex variable boundary element method ⋮ Subdomain solutions of complex variable boundary element method ⋮ Dual boundary element analysis using complex variables for potential problems with or without a degenerate boundary ⋮ A note on evaluation of temporal derivative of hypersingular integrals over open surface with propagating contour ⋮ A complex variable boundary element method for a class of boundary value problems in anisotropic thermoelasticity ⋮ A note on the CVBEM for the two-dimensional Helmholtz equation or its modified form
