Mercurial > repos > public > sbplib

annotate +sbp/+implementations/intOpMC_orders_8to8_ratio2to1.m @ 1198:2924b3a9b921 feature/d2_compatible

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents c923fe6197ff
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
608
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
1 % Marks New interpolation operators
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
2 % 8th order accurate (diagonal norm)
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
3 % M=19 is the minimum amount of points on the coarse mesh
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
4
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
5 function [IC2F,IF2C] = intOpMC_orders_8to8_ratio2to1(M_C)
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
6
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
7 M_F=M_C*2-1;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
8
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
9 % Coarse to fine
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
10 I1=zeros(M_F,M_C);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
11
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
12 t1= [0.99340647972821530406e0 0.26374081087138783775e-1 -0.39561121630708175663e-1 0.26374081087138783775e-1 -0.65935202717846959438e-2 0 0 0 0 0 0 0 0 0 0 0; 0.31183959860287729600e0 0.94014160558849081601e0 -0.31646240838273622401e0 0.65141605588490816007e-1 -0.66040139712270400169e-3 0 0 0 0 0 0 0 0 0 0 0; -0.33163591467432411328e-1 0.11092588191512759415e1 -0.10539936193077965253e0 -0.77189144409925778387e-2 0.60418595406382404105e-1 -0.23395546718453703858e-1 0 0 0 0 0 0 0 0 0 0; -0.63951987538041216890e-1 0.56657207530367360435e0 0.56073157416571775151e0 -0.67107298938782711711e-1 0.54915118559238359570e-2 -0.17358748484912632117e-2 0 0 0 0 0 0 0 0 0 0; 0.22970968995770386894e0 -0.84424237330911973043e0 0.20693327723706358111e1 -0.42910115554542331920e0 -0.13191478386190563918e0 0.11675567167691342983e0 -0.10539821288804421121e-1 0 0 0 0 0 0 0 0 0; 0.10195433776615307267e0 -0.45344410547614678949e0 0.11049699103276728065e1 0.26297465812771521534e0 -0.38617448080010680341e-1 0.23925781250000000000e-1 -0.17631339153836246986e-2 0 0 0 0 0 0 0 0 0; -0.33882356049961665258e0 0.12718893449497745294e1 -0.16822328941798626751e1 0.17813590728082409984e1 0.11793036905675500906e0 -0.18266200597575250398e0 0.37689938246258754051e-1 -0.51502644057974593120e-2 0 0 0 0 0 0 0 0; -0.50400650482311136546e0 0.19901277318227816880e1 -0.29708252195230746436e1 0.23722122500767090037e1 0.24457622727717445252e0 -0.15152936311741758892e0 0.21886284536938453771e-1 -0.24414062500000000000e-2 0 0 0 0 0 0 0 0; 0.37882732714731866331e-2 0.12115606818363056270e0 -0.53924884156527999826e0 0.88886598075786086512e0 0.27660232216640139169e0 0.33730204543181760125e0 -0.12179633685076087365e0 0.38041730885639608773e-1 -0.47112422807823442564e-2 0 0 0 0 0 0 0; 0.41123781086486062886e0 -0.14418811327145423418e1 0.16793759240044487847e1 -0.57156511000645013503e0 0.24685906775203751929e0 0.76471858554416232639e0 -0.11045284035765094522e0 0.24149101163134162809e-1 -0.24414062500000000000e-2 0 0 0 0 0 0 0; 0.36463669929508579110e0 -0.13698743320477484358e1 0.18268133133896437122e1 -0.93074264690533336964e0 0.10888458847499176143e0 0.85685706622610101431e0 0.24359267370152174731e0 -0.13314605809973863070e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0 0 0 0 0; 0.25541802394537278164e0 -0.10497853549910180363e1 0.15921730465359157986e1 -0.96615555845660927855e0 -0.49371813550407503858e-1 0.76471858554416232639e0 0.55226420178825472608e0 -0.12074550581567081404e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0 0 0 0 0; -0.93469656691661424206e-1 0.26634337856674539612e0 -0.17694629839462736800e0 -0.64947940656920645005e-1 -0.54442294237495880713e-1 0.33730204543181760125e0 0.61880473767909428853e0 0.26629211619947726141e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0 0 0 0; -0.49445400002561969522e0 0.18168098496802059221e1 -0.23462477366129557292e1 0.11091140417405116705e1 0.98743627100815007716e-2 -0.15294371710883246528e0 0.55226420178825472608e0 0.60372752907835407022e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0 0 0 0; -0.24633538738293361369e0 0.93021448723433316305e0 -0.12527182680719820488e1 0.63698038058706249354e0 0.15554941210713108775e-1 -0.16865102271590880063e0 0.24359267370152174731e0 0.67646871560981190145e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0 0 0; 0.23150628239599695492e0 -0.82682792555928440531e0 0.10237569354829334077e1 -0.45129113643047460593e0 -0.10075880316409694665e-2 0.30588743421766493056e-1 -0.11045284035765094522e0 0.60372752907835407022e0 0.59814453125000000000e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0 0 0; 0.19518658723021413499e0 -0.70515100787561674409e0 0.88870680011413432419e0 -0.40458631782898657259e0 -0.19443676513391385969e-2 0.48186006490259657322e-1 -0.12179633685076087365e0 0.26629211619947726141e0 0.67021304034523590205e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0 0; -0.43403699494753775353e-1 0.15442805550926787092e0 -0.18997683853068679729e0 0.82584189359473172950e-1 0 -0.31213003491598462302e-2 0.22090568071530189043e-1 -0.12074550581567081404e0 0.59814453125000000000e0 0.59814453125000000000e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0 0; -0.58783367481931040778e-1 0.20994477957758583150e0 -0.25976152530269196017e0 0.11403438083569734975e0 0 -0.60232508112824571652e-2 0.34798953385931678187e-1 -0.13314605809973863070e0 0.26382956772381127836e0 0.67021304034523590205e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0; 0.63390647713259204145e-2 -0.22373993350504987875e-1 0.27185871992161665013e-1 -0.11561529976981026786e-1 0 0 -0.22541395991357335758e-2 0.24149101163134162809e-1 -0.11962890625000000000e0 0.59814453125000000000e0 0.59814453125000000000e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0; 0.10649583863025939259e-1 -0.37634916628131671889e-1 0.45812371547331598336e-1 -0.19540204529147604911e-1 0 0 -0.43498691732414597734e-2 0.38041730885639608773e-1 -0.13191478386190563918e0 0.26382956772381127836e0 0.67021304034523590205e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0; -0.45575492476359756866e-3 0.15951422366725914903e-2 -0.19141706840071097884e-2 0.79757111833629574515e-3 0 0 0 -0.24641939962381798784e-2 0.23925781250000000000e-1 -0.11962890625000000000e0 0.59814453125000000000e0 0.59814453125000000000e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0; -0.87948159845213680356e-3 0.30781855945824788125e-2 -0.36938227134989745750e-2 0.15390927972912394062e-2 0 0 0 -0.47552163607049510966e-2 0.37689938246258754051e-1 -0.13191478386190563918e0 0.26382956772381127836e0 0.67021304034523590205e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2;];
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
13
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
14
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
15 t2= [-0.456778318652801649905139026187255979136056340856723240855601037075101451671715366e81 / 0.96954962498118328965695036971472316719781487805298788537830810438965808195608854955e83 0.3654226549222413199241112209498047833088450726853785926844808296600811613373722928e82 / 0.96954962498118328965695036971472316719781487805298788537830810438965808195608854955e83 -0.1827113274611206599620556104749023916544225363426892963422404148300405806686861464e82 / 0.13850708928302618423670719567353188102825926829328398362547258634137972599372693565e83 0.3654226549222413199241112209498047833088450726853785926844808296600811613373722928e82 / 0.13850708928302618423670719567353188102825926829328398362547258634137972599372693565e83 0.1856585148354920384923865861096125662293072684152233190798249652677391616531107981e82 / 0.2770141785660523684734143913470637620565185365865679672509451726827594519874538713e82 0.3654226549222413199241112209498047833088450726853785926844808296600811613373722928e82 / 0.13850708928302618423670719567353188102825926829328398362547258634137972599372693565e83 -0.1827113274611206599620556104749023916544225363426892963422404148300405806686861464e82 / 0.13850708928302618423670719567353188102825926829328398362547258634137972599372693565e83 0.3654226549222413199241112209498047833088450726853785926844808296600811613373722928e82 / 0.96954962498118328965695036971472316719781487805298788537830810438965808195608854955e83 -0.456778318652801649905139026187255979136056340856723240855601037075101451671715366e81 / 0.96954962498118328965695036971472316719781487805298788537830810438965808195608854955e83;];
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
16
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
17 t3= [-0.5e1 / 0.2048e4 0.49e2 / 0.2048e4 -0.245e3 / 0.2048e4 0.1225e4 / 0.2048e4 0.1225e4 / 0.2048e4 -0.245e3 / 0.2048e4 0.49e2 / 0.2048e4 -0.5e1 / 0.2048e4;];
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
18 I1(1:23,1:16)=t1;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
19 I1(M_F-22:M_F,M_C-15:M_C)=fliplr(flipud(t1));
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
20 I1(24,9:16)=t3;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
21 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
22 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
23 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%DEBUGGING
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
24
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
25 for i=25:2:M_F-24
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
26 j=(i-3)/2;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
27 I1(i,j-2:j+6)=t2;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
28 I1(i+1,j-1:j+6)=t3;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
29 end
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
30
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
31 % Fine to coarse: A
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
32 I2=zeros(M_C,M_F);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
33
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
34 t1=[0.49670323986410765203e0 0.80670591743192512511e0 -0.14476656476698073533e-1 -0.19497555250083395132e0 0.16074268813765884450e0 0.22100911221277072755e0 -0.53042418939472250452e0 -0.86254139670456354517e0 0.64231825172866668299e-2 0.69727164011248914487e0 0.61825742343094006838e0 0.43307239695721032895e0 -0.15848187861199173328e0 -0.83836831742920925562e0 -0.41767239062238727391e0 0.39252899650233765024e0 0.33094736964907844809e0 -0.73592865087013788440e-1 -0.99669762780958210515e-1 0.10748160731101219580e-1 0.18056833808814782786e-1 -0.77275234787125894193e-3 -0.14911993994710636483e-2; 0.25487859584304862664e-2 0.47007080279424540800e0 0.93589176759289320118e-1 0.33386224041716468423e0 -0.11418395501435496457e0 -0.18998278818813064037e0 0.38484431284491986603e0 0.65828018436035862232e0 0.39704539050575728856e-1 -0.47252462545568042557e0 -0.44892698918501097924e0 -0.34402935194949605213e0 0.87284452472801643396e-1 0.59539401290875351190e0 0.30484430526276345964e0 -0.27096308216867871783e0 -0.23108785344796321535e0 0.50608234918774219796e-1 0.68801842319351676214e-1 -0.73322707316320135247e-2 -0.12333488857215226757e-1 0.52275043402033040521e-3 0.10087644967132781708e-2; -0.22656973277393401539e-1 -0.93771184228725468159e0 -0.52699680965389826267e-1 0.19581430555012001670e1 0.16586148101136731602e1 0.27435837109255836264e1 -0.30164708462284474624e1 -0.58235016129647971089e1 -0.10472767830023645070e1 0.32615209891555982371e1 0.35478595826728208891e1 0.30921640208240511054e1 -0.34364793368678654581e0 -0.45566547247355317663e1 -0.24329078834671892590e1 0.19882413967858906122e1 0.17259601262271516763e1 -0.36895458453625989435e0 -0.50448363278283993228e0 0.52797763052066775846e-1 0.88972343374038343284e-1 -0.37175165926095403240e-2 -0.71737841052106668688e-2; 0.21626748627943672418e-2 0.27636709246281031633e-1 -0.55259484658035070394e-3 -0.33553649469391355855e-1 -0.49244245327794891233e-1 0.93489376222103426899e-1 0.45734620580442859300e0 0.66579609152388478842e0 0.24716623315221892947e0 -0.15893464065423852815e0 -0.25881084331023040874e0 -0.26865808253702445366e0 -0.18060020510041282529e-1 0.30841043055726240020e0 0.17712461121229459766e0 -0.12549015561536110372e0 -0.11250298507032009025e0 0.22964117700293735857e-1 0.31709446610808019222e-1 -0.32149051440245356510e-2 -0.54335286230388551025e-2 0.22177994574852164638e-3 0.42797426992744435493e-3;];
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
35
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
36
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
37
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
38 t2=[-0.23556211403911721282e-2 -0.12207031250000000000e-2 0.18844969123129377026e-1 0.11962890625000000000e-1 -0.65957391930952819589e-1 -0.59814453125000000000e-1 0.13191478386190563918e0 0.29907226562500000000e0 0.33510652017261795103e0 0.29907226562500000000e0 0.13191478386190563918e0 -0.59814453125000000000e-1 -0.65957391930952819589e-1 0.11962890625000000000e-1 0.18844969123129377026e-1 -0.12207031250000000000e-2 -0.23556211403911721282e-2;];
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
39
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
40
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
41 I2(1:4,1:23)=t1;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
42
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
43 I2(M_C-3:M_C,M_F-22:M_F)=fliplr(flipud(t1));
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
44
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
45 for i=5:M_C-4
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
46 j=2*(i-5)+1;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
47 I2(i,j:j+16)=t2;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
48 end
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
49
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
50 IC2F = sparse(I1);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
51 IF2C = sparse(I2);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
52
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
53