Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition

DOI10.1016/j.cma.2012.04.012zbMath1253.65192OpenAlexW1983936691MaRDI QIDQ695934

Ricardo Hein, Carlos Pérez-Arancibia, Mario Durán, Pedro Ramaciotti Morales

Publication date: 17 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.cma.2012.04.012

zbMATH Keywords

boundary element methodLaplace equationRobin boundary conditionfast multipole algorithmexponential integral function

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38)

Uses Software

• NSWC
• Algorithm 683

Cites Work

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• A new fast multipole boundary element method for solving 2-D Stokes flow problems based on a dual BIE formulation
• Adaptive fast multipole boundary element method for three-dimensional half-space acoustic wave problems
• A new fast multipole boundary element method for two dimensional acoustic problems
• The fast multipole boundary element method for potential problems: a tutorial
• Multilevel fast multipole algorithm for elastic wave scattering by large three-dimensional objects
• An adaptive fast multipole boundary element method for three-dimensional potential problems
• An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation
• A fast multipole boundary element method for 2D multi-domain elastostatic problems based on a dual BIE formulation
• Rapid solution of integral equations of classical potential theory
• Thermal constriction resistance with convective boundary conditions. I. Half-space contacts
• Fast multipole method as an efficient solver for 2D elastic wave surface integral equations
• Multi-level fast multipole solution of the scattering problem.
• Integral equation methods for Stokes flow and isotropic elasticity in the plane
• A fast multipole boundary element method based on the improved Burton-Miller formulation for three-dimensional acoustic problems
• The fast multipole method: Numerical implementation
• Surface Waves
• Effective boundary conditions for the Laplace equation with a rough boundary
• A dual BIE approach for large-scale modelling of 3-D electrostatic problems with the fast multipole boundary element method
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Fast Adaptive Multipole Algorithm for Particle Simulations
• Irregular frequencies and the motion of floating bodies
• On the null-field equations for water-wave radiation problems
• Stokes flow around cylinders in a bounded two-dimensional domain using multipole-accelerated boundary element methods
• An example of non-uniqueness in the two-dimensional linear water wave problem
• Algorithms 683: a portable FORTRAN subroutine for exponential integrals of a complex argument
• Asymptotic expansions and inequalities for hypergeometric function
• Linear Water Waves
• Explicit Representation for the Infinite-Depth Two-Dimensional Free-Surface Green's Function in Linear Water-Wave Theory
• Algorithm 842
• Computation of Successive Derivatives of f(z)/z
• On the motion of floating bodies. I
• ON THE ROLLING MOTION OF CYLINDERS IN THE SURFACE OF A FLUID
• ON THE HEAVING MOTION OF A CIRCULAR CYLINDER ON THE SURFACE OF A FLUID
• A fast algorithm for particle simulations

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