Mercurial > repos > public > sbplib
diff +sbp/InterpOpsMC.m @ 952:27ce3f653aa7 feature/utux2D
Improve comments in InterpOpsXX
author | Martin Almquist <malmquist@stanford.edu> |
---|---|
date | Fri, 07 Dec 2018 11:10:31 -0800 |
parents | ed8c98c4d479 |
children |
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--- a/+sbp/InterpOpsMC.m Thu Dec 06 10:32:02 2018 +0100 +++ b/+sbp/InterpOpsMC.m Fri Dec 07 11:10:31 2018 -0800 @@ -1,3 +1,19 @@ +% Interpolation operators by Mattsson and Carpenter (MC), see +% Mattsson and Carpenter, +% "Stable and Accurate Interpolatino Operators for High-Order Multiblock Finite DIfference Methods", +% https://epubs.siam.org/doi/pdf/10.1137/090750068 +% +% Let ^* denote the adjoint. These operators satsify +% +% Iuv2 = Iv2u^* +% +% Both Iu2v and Iv2u have p:th order accuracy, if the interior stencil is +% of order 2p. +% +% This approach leads to a reduction of the convergence rate by one order for +% PDEs with 2nd derivatives in space, as compared to conforming interfaces. +% To obtain full convergence rate, use the order-preserving (OP) operators in +% InterpOpsOP.m classdef InterpOpsMC < sbp.InterpOps properties