# 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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