Boundary Element Method for Laplace Problems

Chapter 1. The Boundary Element Method

1.1  Introduction

This is an on-line manual for the Fotran library for solving Laplace' equation by the Boundary Element Method. This includes the core codes L2LC.FOR (2D), L3LC.FOR (3D) and L3ALC.FOR (3D axisymmentric). And the operational codes LIBEM2.FOR (2D, interior), LIBEM3.FOR (3D, exterior), LEBEM3.FOR (3D, exterior), LIBEMA.FOR (3D axisymmetric, interior) and LEBEMA.FOR (3D axisymmetric, exterior). The document below gives an introduction to the boundary element method.

For an introduction to Fortran, see

Fortran Tutorial

For an introduction to Laplace's equation, see

Laplace Equation

For further examples of the boundary element method applied to Laplace's Equation, see

DC Capacitor simulation by the boundary element method
Concurrent application of charge using a novel circuit prevents heat-related coagulum formation during radiofrequency ablation
The Dirichlet problem for a 3D elliptic equation with two singular coefficients
A Gentle Introduction to the Boundary Element Method in Matlab/Freemat
Resistivity modelling with topography
The Robin Hood method A novel numerical method for electrostatic problems based on a non-local charge transfer
Boundary Element Method of Modelling Steady State Groundwater Flow
3D BEM application to Neumann geodetic BVP using the collocation with linear basis functions
Numerical solution of 3D Laplace and Helmholtz equations for parallel scatterers
Simulation of Charge and Mass Distributions of Indium Droplets Created by Field Emission
An empirical error analysis of the boundary element method applied to Laplace's equation
Relation between accuracy and computational time for boundary element method applied to Laplace equation

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