Exterior solution of the Laplace Equation
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.
Time-harmonic 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.
Time-Harmonic Scattering of Elastic Waves by impenetrable obstacles
Acousting scattering from obstaces with different boundary conditions
Transient scattering of a plane wave
An acoustic plane wave is scattered by a single kite-shaped obstacle. Here, we make use the BDF(2) based Convolution Quadrature for the computation of densities and the potential postprocessing.
Transient scattering of a cylindrical wave
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.
Four integral formulations with BDF-CQ
This script generates convergence studies for four different acoustic scattering problems from an ellipse. We demonstrate the use of deltaBEM and BDF-CQ with two direct and two indirect integral formulations.
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.