adic_element_fill.c

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#include <math.h>
#include <stdlib.h>

typedef struct {
  int nqp;
  int nnode;
  InactiveDouble *w, *jac, **phi, **dphi;
  int *gid;
} ElemData;

void adic_element_fill(ElemData* e, 
           unsigned int neqn,
           const double* x, 
           double* u, 
           double* du, 
           double* f) {
  /* Construct element solution, derivative */
  for (unsigned int qp=0; qp<e->nqp; qp++) {
    for (unsigned int eqn=0; eqn<neqn; eqn++) {
      u[qp*neqn+eqn] = 0.0;
      du[qp*neqn+eqn] = 0.0;
      for (unsigned int node=0; node<e->nnode; node++) {
  u[qp*neqn+eqn] += x[node*neqn+eqn] * e->phi[qp][node];
  du[qp*neqn+eqn] += x[node*neqn+eqn] * e->dphi[qp][node];
      }
    }
  }

  /* Compute sum of equations for coupling */
  double *s = malloc(e->nqp*sizeof(double));
  for (unsigned int qp=0; qp<e->nqp; qp++) {
    s[qp] = 0.0;
    for (unsigned int eqn=0; eqn<neqn; eqn++)
      s[qp] += u[qp*neqn+eqn]*u[qp*neqn+eqn];
  }

  /* Evaluate element residual */
  for (unsigned int node=0; node<e->nnode; node++) {
    for (unsigned int eqn=0; eqn<neqn; eqn++) {
      unsigned int row = node*neqn+eqn;
      f[row] = 0.0;
      for (unsigned int qp=0; qp<e->nqp; qp++) {
  f[row] += 
    e->w[qp]*e->jac[qp]*(-e->dphi[qp][node]/(e->jac[qp]*e->jac[qp])*du[qp*neqn+eqn] + e->phi[qp][node]*s[qp]*exp(u[qp*neqn+eqn]));
      }
    }
  }

  free(s);
}