Actual source code: bddcstructs.h
petsc-3.10.5 2019-03-28
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      4:  #include <petscksp.h>
      5:  #include <petscbt.h>

      7: /* special marks for interface graph: they cannot be enums, since special marks should in principle range from -4 to -max_int */
      8: #define PCBDDCGRAPH_NEUMANN_MARK -1
      9: #define PCBDDCGRAPH_DIRICHLET_MARK -2
     10: #define PCBDDCGRAPH_LOCAL_PERIODIC_MARK -3
     11: #define PCBDDCGRAPH_SPECIAL_MARK -4

     13: /* Structure for local graph partitioning */
     14: struct _PCBDDCGraph {
     15:   PetscBool              setupcalled;
     16:   /* graph information */
     17:   ISLocalToGlobalMapping l2gmap;
     18:   PetscInt               nvtxs;
     19:   PetscInt               nvtxs_global;
     20:   PetscBT                touched;
     21:   PetscInt               *count;
     22:   PetscInt               **neighbours_set;
     23:   PetscInt               *subset;
     24:   PetscInt               *which_dof;
     25:   PetscInt               *special_dof;
     26:   PetscInt               custom_minimal_size;
     27:   PetscBool              twodim;
     28:   PetscBool              twodimset;
     29:   PetscBool              has_dirichlet;
     30:   IS                     dirdofs;
     31:   IS                     dirdofsB;
     32:   PetscInt               commsizelimit;
     33:   PetscInt               maxcount;
     34:   /* data for connected components */
     35:   PetscInt               ncc;
     36:   PetscInt               *cptr;
     37:   PetscInt               *queue;
     38:   PetscBool              queue_sorted;
     39:   /* data for interface subsets */
     40:   PetscInt               n_subsets;
     41:   PetscInt               *subset_size;
     42:   PetscInt               **subset_idxs;
     43:   PetscInt               *subset_ncc;
     44:   PetscInt               *subset_ref_node;
     45:   /* data for periodic dofs */
     46:   PetscInt               *mirrors;
     47:   PetscInt               **mirrors_set;
     48:   /* placeholders for connectivity relation between dofs */
     49:   PetscInt               nvtxs_csr;
     50:   PetscInt               *xadj;
     51:   PetscInt               *adjncy;
     52:   PetscBool              freecsr;
     53:   /* data for local subdomains (if any have been detected)
     54:      these are not intended to be exposed */
     55:   PetscInt               n_local_subs;
     56:   PetscInt               *local_subs;
     57:   /* coordinates (for corner detection) */
     58:   PetscBool              active_coords;
     59:   PetscBool              cloc;
     60:   PetscInt               cdim,cnloc;
     61:   PetscReal*             coords;

     63: };
     64: typedef struct _PCBDDCGraph *PCBDDCGraph;

     66: /* Wrap to MatFactor solver in Schur complement mode. Provides
     67:    - standalone solver for interior variables
     68:    - forward and backward substitutions for correction solver
     69: */
     70: /* It assumes that interior variables are a contiguous set starting from 0 */
     71: struct _PCBDDCReuseSolvers {
     72:   /* the factored matrix obtained from MatGetFactor(...,solver_package,...) */
     73:   Mat        F;
     74:   /* placeholders for the solution and rhs on the whole set of dofs of A (size local_dofs - local_vertices)*/
     75:   Vec        sol;
     76:   Vec        rhs;
     77:   /* */
     78:   PetscBool  has_vertices;
     79:   /* shell PCs to handle interior/correction solvers */
     80:   PC         interior_solver;
     81:   PC         correction_solver;
     82:   IS         is_R;
     83:   /* objects to handle Schur complement solution */
     84:   Vec        rhs_B;
     85:   Vec        sol_B;
     86:   IS         is_B;
     87:   VecScatter correction_scatter_B;
     88:   /* handle benign trick without change of basis on pressures */
     89:   PetscInt    benign_n;
     90:   IS          *benign_zerodiag_subs;
     91:   PetscScalar *benign_save_vals;
     92:   Mat         benign_csAIB;
     93:   Mat         benign_AIIm1ones;
     94:   Vec         benign_corr_work;
     95:   Vec         benign_dummy_schur_vec;
     96: };
     97: typedef struct _PCBDDCReuseSolvers *PCBDDCReuseSolvers;

     99: /* structure to handle Schur complements on subsets */
    100: struct _PCBDDCSubSchurs {
    101:   /* local Neumann matrix */
    102:   Mat A;
    103:   /* local Schur complement */
    104:   Mat S;
    105:   /* index sets */
    106:   IS  is_I;
    107:   IS  is_B;
    108:   /* whether Schur complements are explicitly computed with or not */
    109:   char      mat_solver_type[64];
    110:   PetscBool schur_explicit;
    111:   /* matrices cointained explicit schur complements cat together */
    112:   /* note that AIJ format is used but the values are inserted as in column major ordering */
    113:   Mat S_Ej_all;
    114:   Mat sum_S_Ej_all;
    115:   Mat sum_S_Ej_inv_all;
    116:   Mat sum_S_Ej_tilda_all;
    117:   IS  is_Ej_all;
    118:   IS  is_vertices;
    119:   IS  is_dir;
    120:   /* l2g maps */
    121:   ISLocalToGlobalMapping l2gmap;
    122:   ISLocalToGlobalMapping BtoNmap;
    123:   /* number of local subproblems */
    124:   PetscInt n_subs;
    125:   /* connected components */
    126:   IS*      is_subs;
    127:   PetscBT  is_edge;
    128:   /* mat flags */
    129:   PetscBool is_symmetric;
    130:   PetscBool is_hermitian;
    131:   PetscBool is_posdef;
    132:   /* data structure to reuse MatFactor with Schur solver */
    133:   PCBDDCReuseSolvers reuse_solver;
    134:   /* change of variables */
    135:   KSP       *change;
    136:   IS        *change_primal_sub;
    137:   PetscBool change_with_qr;
    138:   /* prefix */
    139:   char      *prefix;
    140:   /* */
    141:   PetscBool restrict_comm;
    142:   /* debug */
    143:   PetscBool debug;
    144: };
    145: typedef struct _PCBDDCSubSchurs *PCBDDCSubSchurs;

    147: /* Structure for deluxe scaling */
    148: struct _PCBDDCDeluxeScaling {
    149:   /* simple scaling on selected dofs (i.e. primal vertices and nodes on interface dirichlet boundaries) */
    150:   PetscInt        n_simple;
    151:   PetscInt*       idx_simple_B;
    152:   /* handle deluxe problems  */
    153:   PetscInt        seq_n;
    154:   PetscScalar     *workspace;
    155:   VecScatter      *seq_scctx;
    156:   Vec             *seq_work1;
    157:   Vec             *seq_work2;
    158:   Mat             *seq_mat;
    159:   Mat             *seq_mat_inv_sum;
    160:   KSP             *change;
    161:   PetscBool       change_with_qr;
    162: };
    163: typedef struct _PCBDDCDeluxeScaling *PCBDDCDeluxeScaling;

    165: /* inexact solvers with nullspace correction */
    166: struct _NullSpaceCorrection_ctx {
    167:   Mat         basis_mat;
    168:   Mat         Kbasis_mat;
    169:   Mat         Lbasis_mat;
    170:   PC          local_pc;
    171:   Vec         work_small_1;
    172:   Vec         work_small_2;
    173:   Vec         work_full_1;
    174:   Vec         work_full_2;
    175:   PetscBool   apply_scaling;
    176:   PetscScalar scale;
    177: };
    178: typedef struct _NullSpaceCorrection_ctx *NullSpaceCorrection_ctx;

    180: /* MatShell context for benign mat mults */
    181: struct _PCBDDCBenignMatMult_ctx {
    182:   Mat         A;
    183:   PetscInt    benign_n;
    184:   IS          *benign_zerodiag_subs;
    185:   PetscScalar *work;
    186:   PetscBool   apply_left;
    187:   PetscBool   apply_right;
    188:   PetscBool   apply_p0;
    189:   PetscBool   free;
    190: };
    191: typedef struct _PCBDDCBenignMatMult_ctx *PCBDDCBenignMatMult_ctx;

    193: /* feti-dp mat */
    194: struct _FETIDPMat_ctx {
    195:   PetscInt   n;               /* local number of rows */
    196:   PetscInt   N;               /* global number of rows */
    197:   PetscInt   n_lambda;        /* global number of multipliers */
    198:   Vec        lambda_local;
    199:   Vec        temp_solution_B;
    200:   Vec        temp_solution_D;
    201:   Mat        B_delta;
    202:   Mat        B_Ddelta;
    203:   PetscBool  deluxe_nonred;
    204:   VecScatter l2g_lambda;
    205:   PC         pc;
    206:   PetscBool  fully_redundant;
    207:   /* saddle point */
    208:   VecScatter l2g_lambda_only;
    209:   Mat        B_BB;
    210:   Mat        B_BI;
    211:   Mat        Bt_BB;
    212:   Mat        Bt_BI;
    213:   Mat        C;
    214:   VecScatter l2g_p;
    215:   VecScatter g2g_p;
    216:   Vec        vP;
    217:   Vec        xPg;
    218:   Vec        yPg;
    219:   Vec        rhs_flip;
    220:   IS         pressure;
    221:   IS         lagrange;
    222: };
    223: typedef struct _FETIDPMat_ctx *FETIDPMat_ctx;

    225: /* feti-dp preconditioner */
    226: struct _FETIDPPC_ctx {
    227:   Mat        S_j;
    228:   Vec        lambda_local;
    229:   Mat        B_Ddelta;
    230:   VecScatter l2g_lambda;
    231:   PC         pc;
    232:   /* saddle point */
    233:   Vec        xPg;
    234:   Vec        yPg;
    235: };
    236: typedef struct _FETIDPPC_ctx *FETIDPPC_ctx;

    238: struct _BDdelta_DN {
    239:   Mat BD;
    240:   KSP kBD;
    241:   Vec work;
    242: };
    243: typedef struct _BDdelta_DN *BDdelta_DN;

    245: /* Schur interface preconditioner */
    246: struct _BDDCIPC_ctx {
    247:   VecScatter g2l;
    248:   PC         bddc;
    249: };
    250: typedef struct _BDDCIPC_ctx *BDDCIPC_ctx;

    252: #endif