A boundary-integral plus volume-potential scheme for the forced heat equation on complex domains that relies on a new high-regularity extension operator and a special quadrature rule for the modified Helmholtz equation at all time-step sizes.
Helsing, Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial, ArXiv e-prints (2012)
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An integral equation based numerical method for the forced heat equation on complex domains
A boundary-integral plus volume-potential scheme for the forced heat equation on complex domains that relies on a new high-regularity extension operator and a special quadrature rule for the modified Helmholtz equation at all time-step sizes.