This is a preliminary set of high-order accurate quad-panel based surface quadratures for kernels that have on-surface weak singularities no more singular than 1/r. It currently contains only a torus and its modulation via a general smooth height function, with uniform arbitrary-order quad patches, with the Laplace (an elliptic BVP) and wave-equation (hyperbolic BVP) kernels.
Main author: Alex Barnett
Contributions: Tom Hagstrom - f90 modules for interpolation from time grid.
Version: 20181110
MATLAB. Codes have not been tested on MATLAB versions prior to R2012a.
For timedomainwaveeqn:
- Fortran compiler to build Hagstrom time interpolation and MEX interface.
- Optionally:
fsparsefrom stenglib, compiled withmake('openmp',true), for fast multithreaded sparse matrix assembly.
Download using git, svn, or as a zip (see green button above).
Open MATLAB in the top level (BIE3D) directory, and run bie3dsetup to add all needed directories to your path.
Test by running testall which tests the Laplace case on a torus, and should produce lots of error outputs close to machine precision, convergent sequences of numbers, and some plots, and yet not crash.
kernels : Laplace evaluation, including on-surface (self-eval)
surfaces : smooth surface generators
singquad : special surface quadratures for weakly singular kernels
utils : general numerical and plot utilities
test : test codes (other than built-in self-tests)
timedomainwaveeqn : TDBIE for wave equation, in progress
solvers : 2D BVP solver example codes, also serve to test kernels
doublyperiodic : codes for doubly-periodic geometries