Some Examples

Exterior solution of the Laplace Equation
Two different boundary integral formulations for an exterior Laplace equation are implemented. the approximate solutions are compared against a known exact solution.
scriptLaplace2bie.m Documentation

Different Boundary Integral Formulations for Helmholtz Equation
This script implements eight different Boundary Integral Formulations for Helmholtz equation and compares the numerical approximation with an exact solution. It features the basic use of geometry and Calderón Calculus operators.
scriptHelmholtz8bie.m Documentation

Timeharmonic scattering by two PENETRABLE obstacles with different material properties
A transmission problem for the Helmholtz equation. Two bounded obstacles with different acoustic coefficients interact with a plane acoustic wave. The script features the merging of geometries and the "decoupled" Calderón Calculus operators to deal with several independent obstacles.
simulationTransmissionProblem.m Documentation

TimeHarmonic Scattering of Elastic Waves by impenetrable obstacles
A plane pressure wave is scattered by three diskshaped impenetrable objects. The script features the use of the timeharmonic NavierLamé Calderón Calculus.
simulationFDelasticity.m Documentation 
Acousting scattering from obstaces with different boundary conditions
An acoustic wave is scattered off a soundhard and a soundsoft obstacle.
scriptMixedBVP.m Documentation 
Transient scattering of a plane wave
An acoustic plane wave is scattered by a single kiteshaped obstacle. Here, we make use the BDF(2) based Convolution Quadrature for the computation of densities and the potential postprocessing.
simulationPlanewave.m Documentation 
Transient scattering of a cylindrical wave
A wave due to a point source is scattered by two elliptical obstacles. This script also demonstrates the use of CQ to approximate cylindrical waves.
simulationCylindricalWave.m Documentation 
Convergence studies with RKCQ
This script generates convergence studies for two different acoustic scattering problems. We couple Radau IIa CQ with deltaBEM and see order three convergence in the potential postprocessing of both examples.
scriptRKCQComprehensiveTests.m Documentation 
Four integral formulations with BDFCQ
This script generates convergence studies for four different acoustic scattering problems from an ellipse. We demonstrate the use of deltaBEM and BDFCQ with two direct and two indirect integral formulations.
scriptHowToUseBDFCQ.m Documentation
REMARK. All scripts named scriptSomethingElse.m work with known exact solutions and compute errors of the deltaBEM approximation. (They are designed in a way that it is easy to wrap another script around them for convergence analysis purposes.) Scripts named simulationSomethingElse.m perform experiments on different physical problems.