diff --git a/docs/html/node18.html b/docs/html/node18.html index a1706ad1..834ab134 100644 --- a/docs/html/node18.html +++ b/docs/html/node18.html @@ -59,13 +59,17 @@ Subroutine mld_precset

mld_precset(p,what,val,info) +
mld_precset(p,smoother,info) +
mld_precset(p,solver,info)

This routine sets the parameters defining the preconditioner. More precisely, the parameter identified by what is assigned the value -contained in val. +contained in val. The other two forms of this routine are +designed to allow extensions of the library by passing new smoothers +and solvers to be employed in the preconditioner.

Arguments @@ -100,6 +104,20 @@ contained in val. When the value is of type character(len=*), it is also treated as case insensitive. +smoother +class(mld_x_base_smoother_type) + +  +The user-defined new smoother to be employed in the + preconditioner. + +solver +class(mld_x_base_solver_type) + +  +The user-defined new solver to be employed in the + preconditioner. + info integer, intent(out). @@ -130,6 +148,11 @@ A list of the parameters that can be set, along with their allowed and default values, is given in Tables 2-5. For a detailed description of the meaning of the parameters, please refer to Section 4. +The smoother and solver objects are arranged in a hierarchical manner; +when specifying a new smoother object, its parameters including the +contained solver are set to default values, and when a new solver +object is specified its defaults are also set, overriding in both +cases any previous settings even if explicitly specified.


@@ -158,7 +181,7 @@ Parameters defining the type of multi-level preconditioner. character(len=*) 'DIAG' 'BJAC' 'AS' 'AS' -Basic one-level preconditioner (i.e. smoother): diagonal, +Basic predefined one-level preconditioner (i.e. smoother): diagonal, block Jacobi, AS. mld_smoother_pos_ @@ -221,16 +244,17 @@ Parameters defining the one-level preconditioner used as smoother. 'ILU' 'MILU' 'ILUT' 'UMF' 'SLU' 'ILU' -Local solver: ILU(Predefined local solver: ILU($p$), MILU($p$), + MILU($p$), ILU($p,t$), LU from UMFPACK, LU from SuperLU + ALT="$p,t$">), LU from UMFPACK, LU from SuperLU (plus triangular solve). mld_sub_fillin_ diff --git a/docs/mld2p4-2.0-guide.pdf b/docs/mld2p4-2.0-guide.pdf index 4d555223..05ae7d47 100644 --- a/docs/mld2p4-2.0-guide.pdf +++ b/docs/mld2p4-2.0-guide.pdf @@ -423,7 +423,7 @@ BT 0 g 0 G [-862(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1281(27)]TJ + [-1281(28)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -102.988 -13.549 Td [(6.4)-1022(Subroutine)-333(mld)]TJ @@ -437,7 +437,7 @@ BT 0 g 0 G [-390(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1281(28)]TJ + [-1281(29)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -102.988 -13.549 Td [(6.5)-1022(Subroutine)-333(mld)]TJ @@ -451,7 +451,7 @@ BT 0 g 0 G [-665(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1281(29)]TJ + [-1281(30)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -102.988 -13.55 Td [(6.6)-1022(Subroutine)-333(mld)]TJ @@ -465,20 +465,20 @@ BT 0 g 0 G [-798(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1281(30)]TJ + [-1281(31)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG /F43 10.9091 Tf -119.352 -24.458 Td [(7)-925(Error)-383(Handling)]TJ 0 g 0 G - [-27434(31)]TJ + [-27434(32)]TJ 0 0 1 rg 0 0 1 RG 0 -24.458 Td [(A)-631(License)]TJ 0 g 0 G - [-31489(32)]TJ + [-31489(33)]TJ 0 0 1 rg 0 0 1 RG 0 -24.459 Td [(References)]TJ 0 g 0 G - [-31259(33)]TJ + [-31259(35)]TJ 0 g 0 G 0 g 0 G ET @@ -2882,7 +2882,7 @@ endobj /ProcSet [ /PDF /Text ] >> endobj 417 0 obj << -/Length 5118 +/Length 6302 >> stream 0 g 0 G @@ -2899,7 +2899,7 @@ BT /F17 11.9552 Tf 213.457 704.136 Td [(precset)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf -1.013 -20.594 Td [(mld_precset\050p,what,val,info\051)]TJ/F15 10.9091 Tf -126.044 -25.505 Td [(This)-389(routin)1(e)-389(sets)-389(the)-389(parameters)-388(de\014ning)-389(the)-388(preconditioner.)-611(More)-388(precisely)83(,)-402(the)-389(pa-)]TJ 0 -13.549 Td [(rameter)-333(iden)27(ti)1(\014ed)-334(b)28(y)]TJ/F44 10.9091 Tf 103.394 0 Td [(what)]TJ/F15 10.9091 Tf 26.545 0 Td [(is)-333(assigned)-334(the)-333(v)56(alue)-334(con)28(tained)-333(in)]TJ/F44 10.9091 Tf 163.212 0 Td [(val)]TJ/F15 10.9091 Tf 17.182 0 Td [(.)]TJ/F17 11.9552 Tf -310.333 -40.647 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -12.806 Td [(p)-3689(type\050mld_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_type\051,)-525(intent\050inout\051)]TJ/F15 10.9091 Tf 143.18 0 Td [(.)]TJ -201.099 -13.549 Td [(The)-478(preconditioner)-478(data)-478(structure.)-878(Note)-478(that)]TJ/F18 10.9091 Tf 233.108 0 Td [(x)]TJ/F15 10.9091 Tf 11.588 0 Td [(m)28(ust)-478(b)-28(e)-478(c)28(hosen)-478(ac-)]TJ -244.696 -13.549 Td [(cording)-269(to)-269(the)-270(real/complex,)-282(single/double)-269(precision)-269(v)27(ersion)-269(of)-269(MLD2P4)]TJ 0 -13.549 Td [(under)-333(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(what)-2114(integer,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 154.788 0 Td [(.)]TJ -108.817 -13.55 Td [(The)-324(n)28(um)28(b)-28(er)-324(iden)28(tifying)-324(the)-324(parameter)-323(to)-324(b)-28(e)-324(set.)-441(A)-324(mnemonic)-324(constan)28(t)]TJ 0 -13.549 Td [(has)-300(b)-28(een)-300(asso)-28(ciated)-299(to)-300(eac)27(h)-300(of)-300(th)1(e)-1(se)-300(n)28(um)28(b)-28(ers,)-306(as)-300(rep)-28(orted)-300(in)-300(T)83(ables)]TJ +/F44 10.9091 Tf -1.013 -20.594 Td [(mld_precset\050p,what,val,info\051)]TJ 0 -13.549 Td [(mld_precset\050p,smoother,info\051)]TJ 5.728 -13.55 Td [(mld_precset\050p,solver,info\051)]TJ/F15 10.9091 Tf -131.772 -25.394 Td [(This)-389(routin)1(e)-389(sets)-389(the)-389(parameters)-388(de\014ning)-389(the)-388(preconditioner.)-611(More)-388(precisely)83(,)-402(the)-389(pa-)]TJ 0 -13.549 Td [(rameter)-308(i)1(den)27(ti\014ed)-307(b)28(y)]TJ/F44 10.9091 Tf 102.548 0 Td [(what)]TJ/F15 10.9091 Tf 26.263 0 Td [(is)-307(as)-1(signed)-307(the)-307(v)55(alue)-307(con)27(tain)1(e)-1(d)-307(in)]TJ/F44 10.9091 Tf 161.52 0 Td [(val)]TJ/F15 10.9091 Tf 17.181 0 Td [(.)-436(The)-307(other)-308(t)28(w)28(o)-308(forms)]TJ -307.512 -13.549 Td [(of)-292(this)-291(routine)-292(are)-291(designed)-292(to)-292(allo)28(w)-291(e)-1(xt)1(e)-1(n)1(s)-1(ion)1(s)-292(of)-292(the)-291(library)-292(b)28(y)-292(passing)-291(new)-292(smo)-28(others)]TJ 0 -13.55 Td [(and)-333(solv)28(ers)-334(to)-333(b)-28(e)-333(emplo)27(y)28(ed)-333(in)-333(the)-334(precondition)1(e)-1(r)1(.)]TJ/F17 11.9552 Tf 0 -40.647 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -12.805 Td [(p)-3689(type\050mld_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_type\051,)-525(intent\050inout\051)]TJ/F15 10.9091 Tf 143.18 0 Td [(.)]TJ -201.099 -13.55 Td [(The)-478(preconditioner)-478(data)-478(structure.)-878(Note)-478(that)]TJ/F18 10.9091 Tf 233.108 0 Td [(x)]TJ/F15 10.9091 Tf 11.588 0 Td [(m)28(ust)-478(b)-28(e)-478(c)28(hosen)-478(ac-)]TJ -244.696 -13.549 Td [(cording)-269(to)-269(the)-270(real/complex,)-282(single/double)-269(precision)-269(v)27(ersion)-269(of)-269(MLD2P4)]TJ 0 -13.549 Td [(under)-333(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(what)-2114(integer,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 154.788 0 Td [(.)]TJ -108.817 -13.549 Td [(The)-324(n)28(um)28(b)-28(er)-324(iden)28(tifying)-324(the)-324(parameter)-323(to)-324(b)-28(e)-324(set.)-441(A)-324(mnemonic)-324(constan)28(t)]TJ 0 -13.55 Td [(has)-300(b)-28(een)-300(asso)-28(ciated)-299(to)-300(eac)27(h)-300(of)-300(these)-300(n)28(um)28(b)-28(ers,)-306(as)-300(rep)-28(orted)-300(in)-300(T)83(ables)]TJ 0 0 1 rg 0 0 1 RG [-300(2)]TJ 0 g 0 G @@ -2907,7 +2907,7 @@ BT 0 0 1 rg 0 0 1 RG [(5)]TJ 0 g 0 G - [(.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(val)-2639(integer)]TJ/F18 10.9091 Tf 105.136 0 Td [(or)]TJ/F44 10.9091 Tf 30.425 0 Td [(character\050len=*\051)]TJ/F18 10.9091 Tf 110.711 0 Td [(or)]TJ/F44 10.9091 Tf 30.424 0 Td [(real\050psb_spk_\051)]TJ/F18 10.9091 Tf 99.256 0 Td [(or)]TJ/F44 10.9091 Tf -329.981 -13.549 Td [(real\050psb_dpk_\051)]TJ/F15 10.9091 Tf 80.181 0 Td [(,)]TJ/F44 10.9091 Tf 6.666 0 Td [(intent\050in\051)]TJ/F15 10.9091 Tf 57.272 0 Td [(.)]TJ -144.119 -13.549 Td [(The)-306(v)56(alue)-306(of)-305(the)-306(parameter)-306(to)-305(b)-28(e)-306(set.)-435(The)-306(list)-305(of)-306(allo)28(w)28(ed)-306(v)55(al)1(ues)-306(and)-306(the)]TJ 0 -13.55 Td [(corresp)-28(onding)-391(data)-392(t)28(yp)-28(es)-391(is)-392(giv)28(en)-391(in)-392(T)84(ables)]TJ + [(.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(val)-2639(integer)]TJ/F18 10.9091 Tf 105.136 0 Td [(or)]TJ/F44 10.9091 Tf 30.425 0 Td [(character\050len=*\051)]TJ/F18 10.9091 Tf 110.711 0 Td [(or)]TJ/F44 10.9091 Tf 30.425 0 Td [(real\050psb_spk_\051)]TJ/F18 10.9091 Tf 99.256 0 Td [(or)]TJ/F44 10.9091 Tf -329.982 -13.549 Td [(real\050psb_dpk_\051)]TJ/F15 10.9091 Tf 80.181 0 Td [(,)]TJ/F44 10.9091 Tf 6.666 0 Td [(intent\050in\051)]TJ/F15 10.9091 Tf 57.272 0 Td [(.)]TJ -144.119 -13.549 Td [(The)-306(v)56(alue)-306(of)-305(the)-306(parameter)-306(to)-305(b)-28(e)-306(set.)-435(The)-306(list)-305(of)-306(allo)28(w)28(ed)-306(v)55(alu)1(e)-1(s)-305(and)-306(the)]TJ 0 -13.549 Td [(corresp)-28(onding)-391(data)-392(t)28(yp)-28(es)-391(is)-392(giv)28(en)-391(in)-392(T)84(ables)]TJ 0 0 1 rg 0 0 1 RG [-392(2)]TJ 0 g 0 G @@ -2915,39 +2915,39 @@ BT 0 0 1 rg 0 0 1 RG [(5)]TJ 0 g 0 G - [(.)-619(When)-391(the)-392(v)56(alue)-392(is)-391(of)]TJ 0 -13.549 Td [(t)28(yp)-28(e)]TJ/F44 10.9091 Tf 24.545 0 Td [(character\050len=*\051)]TJ/F15 10.9091 Tf 91.636 0 Td [(,)-333(it)-334(is)-333(also)-333(treated)-334(as)-333(case)-333(insensitiv)27(e.)]TJ/F44 10.9091 Tf -162.152 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ + [(.)-619(When)-391(the)-392(v)56(alue)-392(is)-391(of)]TJ 0 -13.549 Td [(t)28(yp)-28(e)]TJ/F44 10.9091 Tf 24.545 0 Td [(character\050len=*\051)]TJ/F15 10.9091 Tf 91.636 0 Td [(,)-333(it)-334(is)-333(also)-333(treated)-334(as)-333(case)-333(insensitiv)27(e.)]TJ/F44 10.9091 Tf -162.152 -13.55 Td [(smoother)-14(class\050mld_x_base_smoother_type\051)]TJ/F15 10.9091 Tf 45.971 -13.549 Td [(The)-333(user-de\014ned)-334(new)-333(smo)-28(other)-333(to)-333(b)-28(e)-334(emplo)28(y)28(ed)-333(in)-334(the)-333(preconditioner.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(solver)-1064(class\050mld_x_base_solver_type\051)]TJ/F15 10.9091 Tf 45.971 -13.549 Td [(The)-333(user-de\014ned)-334(new)-333(solv)28(er)-334(to)-333(b)-28(e)-333(emplo)28(y)28(ed)-334(in)-333(the)-333(preconditioner.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.55 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ 0 0 1 rg 0 0 1 RG [-333(7)]TJ 0 g 0 G - [-333(for)-334(d)1(e)-1(tail)1(s)-1(.)]TJ -68.885 -18.61 Td 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-13.333 -22.424 Td [(A)-379(list)-379(of)-378(the)-379(parameters)-379(that)-379(can)-379(b)-28(e)-378(s)-1(et,)-390(along)-379(with)-378(their)-379(allo)28(w)27(ed)-378(and)-379(default)-379(v)56(alues,)]TJ 0 -13.549 Td [(is)-424(giv)28(e)-1(n)-424(in)-424(T)83(ables)]TJ 0 0 1 rg 0 0 1 RG - [-296(2)]TJ + [-424(2)]TJ 0 g 0 G [(-)]TJ 0 0 1 rg 0 0 1 RG [(5)]TJ 0 g 0 G - [(.)-432(F)83(or)-296(a)-296(detailed)-296(description)-296(of)-296(the)-296(meaning)-296(of)-296(the)-296(parameters,)-304(please)]TJ 0 -13.549 Td [(refer)-333(to)-334(Section)]TJ + [(.)-717(F)83(or)-424(a)-424(detailed)-425(description)-424(of)-424(the)-424(meaning)-425(of)-424(the)-424(parameters,)]TJ 0 -13.549 Td [(please)-265(refer)-266(to)-265(Section)]TJ 0 0 1 rg 0 0 1 RG - [-333(4)]TJ + [-266(4)]TJ 0 g 0 G - [(.)]TJ + [(.)-421(The)-266(smo)-28(other)-265(and)-265(solv)28(e)-1(r)-265(ob)-55(jects)-266(are)-265(arranged)-266(in)-265(a)-265(hierarc)28(hical)]TJ 0 g 0 G 0 g 0 G ET @@ -2964,56 +2964,56 @@ endobj 407 0 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312.5 546.9 625 500 625 513.3 343.7 562.5 625 312.5 343.7 593.7 312.5 937.5 625 562.5 625 593.7 459.5 443.8 437.5 625 593.7 812.5 593.7 593.7 500] endobj -506 0 obj << +515 0 obj << /Length1 1500 /Length2 10025 /Length3 0 @@ -5337,7 +5404,7 @@ P+I BQFAy`%/Mз*~+W.ir߹ema0-&Ab$ҷp(;y`'}ƏQCD N`!pJ}:ƺ2V_@Aʯ{cr/ jN+ѤqFEһ{e|q¾-éB\}$5bbV/2Q8bzgï zӧ͕}PMbT(V+TWX !%NG}s;+] endstream endobj -507 0 obj << +516 0 obj << /Type /FontDescriptor /FontName /SNDFJH+CMBX10 /Flags 4 @@ -5349,9 +5416,9 @@ endobj /StemV 114 /XHeight 444 /CharSet (/A/B/C/D/E/F/G/H/I/K/L/M/N/O/P/R/S/U/a/b/c/colon/d/e/f/fi/five/four/g/hyphen/i/k/l/m/n/nine/o/one/p/period/r/s/seven/six/t/three/two/u/v/w/zero) -/FontFile 506 0 R +/FontFile 515 0 R >> endobj -508 0 obj << +517 0 obj << /Length1 1513 /Length2 8660 /Length3 0 @@ -5464,7 +5531,7 @@ y p,d]' :BY endstream endobj -509 0 obj << +518 0 obj << /Type /FontDescriptor /FontName /VZSPNB+CMBX12 /Flags 4 @@ -5476,13 +5543,13 @@ endobj /StemV 109 /XHeight 444 /CharSet (/A/B/C/D/E/F/G/H/I/L/M/O/P/R/S/U/a/b/c/d/e/f/fi/five/four/g/h/hyphen/i/k/l/m/n/o/one/p/period/q/quoteright/r/s/seven/six/t/three/two/u/v/w/x/y/z) -/FontFile 508 0 R +/FontFile 517 0 R >> endobj -510 0 obj << -/Length1 1432 -/Length2 8170 +519 0 obj << +/Length1 1385 +/Length2 7697 /Length3 0 -/Length 9602 +/Length 9082 >> stream %!PS-AdobeFont-1.1: CMCSC10 1.0 @@ -5498,7 +5565,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /WARYBH+CMCSC10 def +/FontName /EZCVYY+CMCSC10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -5508,7 +5575,6 @@ dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put -dup 69 /E put dup 71 /G put dup 73 /I put dup 76 /L put @@ -5527,7 +5593,6 @@ dup 102 /f put dup 53 /five put dup 52 /four put dup 103 /g put -dup 104 /h put dup 45 /hyphen put dup 105 /i put dup 107 /k put @@ -5541,7 +5606,6 @@ dup 40 /parenleft put dup 39 /quoteright put dup 114 /r put dup 115 /s put -dup 55 /seven put dup 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(dy2U!L-:NW [c|HcC`q& qԅì9=w6 -0%j g/Q%]4e4p?s' 6@pņHto+rݗY  -~h qRa ,:}Az=kYB>—DXV@qlK2Kτ%wlzZ :X,y'Xşa.'mDTq{/0P}t0>V[5\l"3"eOO 9qj:y!l]Aݗ!Qa"d[|Kƍ'``dW2/ՈAqs*"4w ҁUS e&(ʀEۥ~kZU!k`d -۷la, %hn Arla_\1' h<_fjߔ}u N{Gg ٕtvk( ?ŧcfOF :Ww8doNVhkC9?ݠtԡd7ʎL!!dbP=Wl! +5&/(қxR:y,x=uyxI{LJ0 ٦1-9372 -֡wyuޗxc_<%+p/f ɭU3Zقe ]b -}p Ne2 AluѺ.wE EJVĭaǑh~-Y|. 5 XbXt{woVEf!OWO}ێwagg2@p譸@7&=ήK4]7܋>ؗשI  ٵԭN^(>E52}n(Xy-kD2 gjݟgO[Ls8ksZT>c#=Ws`;9P˾r3NjĿ&wS` fҴ FBupb:'8oUH'i vz .[2GSNN?K8"@9tV -JZŭ>q0ը1,A;A -gHѱ6ƂQr)UFN+VȗbvMm2*xbB( xOTƟvhmkV;o -((lDh.Lx8)e҂W\GJkr{੡Ȳrg=B%aث]LɃzLAg0-͠R0Į罼pRX>3X%FlP\^DScqzUٟbˋsXQYAn PH?/RpI>V&lU `[McaA{LQ課6XJ(r"#(OU%tqX ](5,8ns1MC@ &WTY_UdnؼTn9Umq,&|B0]M\pQY w*2}ę0X2DhaCmA؁߸? +:{n51`KZ -\k=@ROC5nfcPn`EZZGD&/n`ۥs+4YӸU@sP.bPNcJ>~h爼͚YI9#oY ,&T^yl.WP0E#TݼEsT"K04-wbJ9d~>vZ>OI奓Wn,zU!j%͚XkiI%>dCu(dʛߏe wJ^gH|X wsj.3[uMVtn6=`{zlt9 OOwE~RrA/(X @w[?ZC,Z(Aw(LP0ȻNliVR\Z{#[x%՜)$* Gu3Iv+L 2ЙU 0-P+ -'j-Cs$SW`ʹ'"l0g w'Ȟ8Eݏ1J6!-xY?u!mab/<@-9)nq^4U!r*-!#O5yd}pv[z*eK՗FA!+ zo}P:jz<6Cʹ?%WKLJ]fTe]*"bCDp~PQi\ևv=y6s - -'ZE מYfDB/oHx~Dz%)wUq;ynKs3tfe2*"Sgz=$5İ,Xcˤʁ SL{g}K|Wg6iOD1 Tᕿn@&Z>4{%ɶጾtE:@ȇ,NP!y5bq4.} -'!4JL`$",l2n6>d{N5&tURT=O=hb0C.`P(e$^c} Jo3ePݾA}M]g#l?8/G "qD2п&N`͎NѼrji='"+jO],VK8VOw)f<۟>?'މkm'uhpC]ݳ -:X0$hVb ҅r4C|Ovn.-nw і -a}}ǍIfNC -ϳ6}m +}s$)PͶ'/CզxBCxSƫE\ 'MXpͰԁ C q6 2T1e|jԲH*} t.-"k5,h:J.X 4Z@0v)FEʫ@"jKNJrYDdcm!G~,f\HAӮhcc>SK}pkkRX>LfU8dWNb䊌b ?g~8o|R<)C쩔f{ +D -*%;:&vA$+@!gCHF "$/핞}pio$ 㤗:]p" +h.yI-ND7mTonu 5U)ٍTF HHU;A)QUZ3xyAg<)2K)BQ2:('\'hwYsN5/W4c{M RiO4an;6/D'koΏ`9Cy<[((IFiSާ6TyGgyK7bp} }xPG!}f\׌|v%<@jв[T%TEcY^s?t!$ѳ@}N;I|N 5uUSb{ Y*~s)"# * A=iK{PA{ݒGS\ jePJ/%cBtJ32cy! +nXd۠oH_",[GR Y~fMFQD3M1o á7o~MThъ6)5≀wݸ8ѩ\t%3]vZPI؆f1 Qd.!Giߛ~(dY^qںxC}lV%f7k]?hČ08CԧeMWcQw1 nB,MXkv'.g )׷@=&hq='J-AEf́4aOȊaCOQHUˀhzgEn(K1B֫6ܚ\}/@JX2ŵM>g4(z7tfyMFzLXv6tQDK4F! Y/͒Iz>M5mTObCSO-*x]r +Ͻhk`ovl^ƮxBߗ +ͩ8"+fY~Yld.^c&`yrP=p`TFWP)qp|ز`=|yk6;xh!]q+k j|6P2͘ /,O)9@ j Es-KJU[z%h})H-qÿ߄ ?OMGs +;x#Rh+t-V$L'/rQuGoRLu?.;eooʷ|' ۈ"$\™r aC;8vJfSQ!me_dSkuh^h/+aΔqԭ6vH+'XbR" ^D/`D*‰dj,z̟g,Y:oLe2} lVDED4z"Wg،׈X +wٯ]ǯ>TZ5#][paeN0ϥNFv͞eFYL/H,F׳ +SHٴ !N;{%bp&E2ʕB*r [CSI6al-ьP#I'Z+#O6S0s|"='ڝbPN&QF)儈(M祼O;jk%}Ib/YURz LPJ.}A9?2V(;#Ln"| +ɬp -ubjҴApA!)5< ~Azj=*$=DOE +8 7t6kZ/3I{B,j%9Egc|֍JL(<7Q,{#c))nMԼ)܊o&!@荧')?.䏢㎘BkK͎jH'>(Ll&4y F?aӖ<wX61 %H'|=X#c>iBPGD,—^4}p_k@#-v3K0cBʫ;B'nڕ kta`G&x *^Qi:)w Cm+#5\)SEWp" =">cɊ>Ar?lف݃ݝ[0w +AQ5ïzDBR;l>[-De.#GF֒R~VAv]Һ\*vEO +‰ZWεuv҃A4B%+ +8XQx 01,oYOW1!$*K}Gĝ,v>f ZOTP IZW؁T 9>M#w Yov[ۖ$o Φ4h?Zut +<@s"|:8? J)y` +Bbx?H4`aſnWإdKw>}bF[2I_oJK鈀]"=|݈2lce'#y+m%Nu\ys'坤'E!1*_Cb +c0nU6";? R5mYK?|\3¾]ؒ;xo T?@ sS +7 Bl#EXLz0Uu$k +!̼ӕwEbYZ dɃ"C}W 5 kѢ%]*#hU@9Ə*s=l=x]KT,$Ә_bǰS4 Oz.s5cpʬKp_jKdq1V> S00o#,eY?~Ŭ<FTJEE>w͖{Q5 Nފʩfhuh9>m;AP+)҂Kt;%BQn p7Vs{lJHD KZD3~qصrZHˏY/'(=@ #ӶL!B= >l"Z?[ Gw%A&Uw 5O͵=Gd[tp,"ZLwS?m@%Rqn[ΛgpQ?FNm΁WrsN +)&ՎpDzxz --P')9 +Tx$X)2 0.ssb+%ϱ^??p.}o(1`Yq.aTIcSSnc!y5ß+r_kf)q//G=$v{TlatC=w㡂p_ңD崊al~7p4Sb?֗(\W+x:*[eXXЊSA8,GÄK4k%3.ѤJ1b:E.v0ܲ!-jn0X% ōKk"ΗXZ$yJ21-f͏KMzd,mn&9n{W )'|("Ls^zJB6rSi4P#P/{=֙)6 +nBi4xS =u_EPD|:)20Rٹd٤$\ɪK|R#" %mg"1ȈG"QJ[cvZ$ U"hڜa3a9([}A@L]^CMfp*{Ug92$]ᴻ?0=^޹ hY!3K|EwhcMà(6R/ѴjLʑj mS8ŵ9k5K {6P b 4jIP*]hiw[wm)hL>^6m|=7ZOr)dDn 8h.{c-d}{+{ΣOYhԧ&eitW?J2Y!d:r;sêt  +"[ Ʉ.>G&]wJ chՐViӥ1qy +[G96 " k~}Fv^ft׻"vnE:Z$՛C=D8f0,fksPƶTTo2L]Iߡ<;"qecy+ +)beײi/_𖂼KemT~OAӆu-4b#)Ko ťʇ\), ﻒnCuQqK(?+j`3Ch#ԟu?,k> endstream endobj -511 0 obj << +520 0 obj << /Type /FontDescriptor -/FontName /WARYBH+CMCSC10 +/FontName /EZCVYY+CMCSC10 /Flags 4 /FontBBox [14 -250 1077 750] /Ascent 514 @@ -5608,10 +5670,10 @@ endobj /ItalicAngle 0 /StemV 72 /XHeight 431 -/CharSet (/A/B/C/D/E/G/I/L/M/O/P/R/S/U/a/b/c/d/e/f/five/four/g/h/hyphen/i/k/l/m/n/o/one/p/parenleft/quoteright/r/s/seven/six/t/three/two/u/v/w/y) -/FontFile 510 0 R +/CharSet (/A/B/C/D/G/I/L/M/O/P/R/S/U/a/b/c/d/e/f/five/four/g/hyphen/i/k/l/m/n/o/one/p/parenleft/quoteright/r/s/six/t/three/two/u/v/w/y) +/FontFile 519 0 R >> endobj -512 0 obj << +521 0 obj << /Length1 935 /Length2 2339 /Length3 0 @@ -5663,7 +5725,7 @@ A _gPsB1uU zF9)[?h|)bg3.&Bj: X3;Gk(B,v endstream endobj -513 0 obj << +522 0 obj << /Type /FontDescriptor /FontName /QZSJAN+CMEX10 /Flags 4 @@ -5675,9 +5737,9 @@ endobj /StemV 47 /XHeight 431 /CharSet (/braceleftBig/braceleftbigg/bracerightBig/parenleftbig/parenrightbig/radicalbig/summationdisplay/summationtext) -/FontFile 512 0 R +/FontFile 521 0 R >> endobj -514 0 obj << +523 0 obj << /Length1 1315 /Length2 8350 /Length3 0 @@ -5784,7 +5846,7 @@ $ی }HЃ KrR,higQ-x!|+XZyB.8r^hڡ)}ň*UcW[Y}ab7cb ߈$qrbD6$'8+x}j3k7194Ͻ=}|BQr4fjpsXMMq[>T`T<;gug1KQjOւBW];رQ+Zz;>~S'3305X@ΖT~A݁޹l;Sx6-TY>xCS,J&v ehX-W{)&v~JZY%b^P)aZ')z&Ύ쑰&J:yǗ Q}ɵ'_b'DDb+1˜tPXzNrhC(‹5l˯9^>m^o(ǨI-*9BCL}Ov]MGI/o < /P3!o@3]`̡%Qɦģ#_RYu_&jĜρឩ K)5v[)67Riu8*3H js2ZBue!M<ި۱J%a솁@-N^!!KIJ7^|VT &OUXQ{ 8'YA3]~φ9SPy~tK^$dkXu7b+u?7>l<  C:gup*UATe-yt,ɢ{Lt[: ; DټW/J|B|==L ǡ@>r/Wc2_ZrsY :K0쎓 ǝxC2|Lu<4\gdhQ`T.HgyѤk=_sh!ߥ-o'5ZCVcAD˫bpzmg7ܺ\~E,waDK?]r]ˀ1"_EMԉW);D(5Lbc5!LV7jj/OR\~f/W*}Vƚ;uJ*]t0ޠaӦ^kث=7DroA=<`^0TA@,$ '9428;d,DuMIXC֣–i~o&'ݕig 0L()C4BD~N ` &fv$kѣCx(],?G)kI$=X40Wϋ9Xñq9٦T]Gگ"#rVl6rF& õawa]K8Fe^qqUv> "xByuzR29 M@,ăS\~oI 7ڽvS1&813M#EL œIq[Lsmw_RoxR)#w3PN*.3@k?M'~=Sz6Q endstream endobj -515 0 obj << +524 0 obj << /Type /FontDescriptor /FontName /SQUASS+CMMI10 /Flags 4 @@ -5796,9 +5858,9 @@ endobj /StemV 72 /XHeight 431 /CharSet (/A/D/E/G/I/M/N/P/R/S/V/W/a/b/comma/delta/e/greater/i/j/l/m/n/o/omega/p/period/r/rho/s/slash/t/theta/v/w/x/y/z) -/FontFile 514 0 R +/FontFile 523 0 R >> endobj -516 0 obj << +525 0 obj << /Length1 777 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7yݟ݉sMBbHI_g,ۄ9ЬΌ~MX~Ɯ2t8bCP3=(˜[ *]V5OD2pϡ2~4{؄?_Hf;\%7WiGèǩ-IWj>Y:6atsNroh8H`2s~)Ӄyoo2>>YQWu>;-ٜ<,E3r/g.#R/ff1|zMT!Dz/x*);bkZkҎ1kLQ\ 5ݒ/XлWb~E.C6cWS|Lߦ "c,/T2ɺSz=~̞g+f)9AX(3יFY9['vӒÄ7k5z>-Gh=UEQ#ǸLΞ<9c@<޴mdkFtTT iwX-4^;qKL}IBR& Hx1Nw v̸H>i,N~IG-PCD endstream endobj -521 0 obj << +530 0 obj << /Type /FontDescriptor /FontName /VCFHMD+CMMI8 /Flags 4 @@ -5985,9 +6047,9 @@ endobj /StemV 78 /XHeight 431 /CharSet (/A/C/E/H/L/O/P/R/S/T/delta/i/j/l/m/n/r/s) -/FontFile 520 0 R +/FontFile 529 0 R >> endobj -522 0 obj << +531 0 obj << /Length1 2138 /Length2 15267 /Length3 0 @@ -6168,7 +6230,7 @@ y" _RPc f:_WLH|MDouͤЬeQ˶9Cmո7d{C#WS<Ǩ]ʤ!lٕn .jo?LbO}-n$9ӍjaЌPaOΉ}Vux8 woC endstream endobj -523 0 obj << +532 0 obj << /Type /FontDescriptor /FontName /KZBLKD+CMR10 /Flags 4 @@ -6180,9 +6242,9 @@ endobj /StemV 69 /XHeight 431 /CharSet 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More precisely, the parameter identified by \verb|what| is assigned the value -contained in \verb|val|. +contained in \verb|val|. The other two forms of this routine are +designed to allow extensions of the library by passing new smoothers +and solvers to be employed in the preconditioner. {\vskip2\baselineskip\noindent\large\bfseries Arguments} @@ -99,6 +103,14 @@ contained in \verb|val|. Tables~\ref{tab:p_type}-\ref{tab:p_coarse}. When the value is of type \verb|character(len=*)|, it is also treated as case insensitive.\\ +\verb|smoother| & \verb|class(mld_x_base_smoother_type)| \\ + & The user-defined new smoother to be employed in the + preconditioner.\\ + +\verb|solver| & \verb|class(mld_x_base_solver_type)| \\ + & The user-defined new solver to be employed in the + preconditioner.\\ + \verb|info| & \verb|integer, intent(out)|.\\ & Error code. If no error, 0 is returned. See Section~\ref{sec:errors} for details.\\ @@ -127,11 +139,12 @@ default values, is given in Tables~\ref{tab:p_type}-\ref{tab:p_coarse}. For a detailed description of the meaning of the parameters, please refer to Section~\ref{sec:background}. % -%Note that the routine allows to set different features of the -%preconditioner at each level through the use of \verb|ilev|. -%This should be done by users with experience in the field of -%multi-level preconditioners. Non-expert users are recommended -%to call \verb| mld_precset| without specifying \verb|ilev|. +The smoother and solver objects are arranged in a hierarchical manner; +when specifying a new smoother object, its parameters including the +contained solver are set to default values, and when a new solver +object is specified its defaults are also set, overriding in both +cases any previous settings even if explicitly specified. +% \bsideways \begin{center} @@ -148,7 +161,7 @@ refer to Section~\ref{sec:background}. \verb|mld_smoother_type_|& \verb|character(len=*)| & \texttt{'DIAG'} \ \ \ \texttt{'BJAC'} \ \ \ \texttt{'AS'} & \texttt{'AS'} - & Basic one-level preconditioner (i.e.\ smoother): diagonal, + & Basic predefined one-level preconditioner (i.e.\ smoother): diagonal, block Jacobi, AS. \\ \hline \verb|mld_smoother_pos_| & \verb|character(len=*)| & \texttt{'PRE'} \ \ \ \texttt{'POST'} \ \ \ \texttt{'TWOSIDE'} @@ -189,7 +202,8 @@ refer to Section~\ref{sec:background}. & \texttt{'ILU'} \hspace{2.5cm} \texttt{'MILU'} \hspace{2.5cm} \texttt{'ILUT'} \hspace{2.5cm} \texttt{'UMF'} \hspace{2.5cm} \texttt{'SLU'} & \texttt{'ILU'} - & Local solver: ILU($p$), MILU($p$), ILU($p,t$), LU from UMFPACK, LU from SuperLU + & Predefined local solver: ILU($p$), + MILU($p$), ILU($p,t$), LU from UMFPACK, LU from SuperLU (plus triangular solve). \\ \hline \verb|mld_sub_fillin_| & \verb|integer| & Any~int.~num.~$\ge 0$