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Reproduce two minima in _make_cross_face_batch Gauss-Newton #228

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Reproduce two minima in _make_cross_face_batch Gauss-Newton #228

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51 changes: 47 additions & 4 deletions meshmode/discretization/connection/opposite_face.py
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Original file line number Diff line number Diff line change
Expand Up @@ -67,10 +67,13 @@ def _make_cross_face_batches(actx,
src_mesh_grp = src_bdry_discr.mesh.groups[i_src_grp]
src_grp = src_bdry_discr.groups[i_src_grp]

src_unit_nodes = _find_src_unit_nodes_by_matching(
tgt_bdry_nodes=tgt_bdry_nodes,
src_bdry_nodes=src_bdry_nodes,
src_grp=src_grp, tol=tol)
if 0:
src_unit_nodes = _find_src_unit_nodes_by_matching(
tgt_bdry_nodes=tgt_bdry_nodes,
src_bdry_nodes=src_bdry_nodes,
src_grp=src_grp, tol=tol)
else:
src_unit_nodes = None
if src_unit_nodes is None:
src_unit_nodes = _find_src_unit_nodes_via_gauss_newton(
tgt_bdry_nodes=tgt_bdry_nodes,
Expand Down Expand Up @@ -283,6 +286,46 @@ def get_map_jacobian(unit_nodes):
max_resid = np.max(np.abs(resid))

if max_resid < tol:
if 1:
near_zero = np.abs(src_unit_nodes) < 1e-5
near_one = np.abs(src_unit_nodes-1) < 1e-5
near_mone = np.abs(src_unit_nodes+1) < 1e-5
reasonable = near_zero | near_one | near_mone
if np.any(~reasonable):
unreasonable_els, unreasonable_nodes = np.where(
np.any(~reasonable, axis=0))
mapped = apply_map(src_unit_nodes)
# print(src_unit_nodes[~reasonable])
urel = unreasonable_els[0]
tgt_urel = tgt_bdry_nodes[:, urel]
src_urel = src_bdry_nodes[:, urel]

dist_vecs = (
tgt_urel.reshape(3, -1, 1) - src_urel.reshape(3, 1, -1))
dists = np.sqrt(np.sum(dist_vecs**2, axis=0))

mat = (dists < 1e-12)
from_indices = np.array([np.where(row)[0][0] for row in mat])

sunodes = src_bdry_discr.groups[src_grp.index].unit_nodes

print("GOOD UNIT NODES")
print(sunodes[:, from_indices])
print("BAD UNIT NODES")
print(src_unit_nodes[:, urel])
print()

fixed_src_unit_nodes = src_unit_nodes.copy()
fixed_src_unit_nodes[:, urel] = sunodes[:, from_indices]
mapped_fixed = apply_map(fixed_src_unit_nodes)

print("FIXED RESIDUAL")
print(np.max(np.abs(mapped_fixed[:, urel]
- tgt_bdry_nodes[:, urel])))
print("UNFIXED RESIDUAL")
print(np.max(np.abs(mapped[:, urel] - tgt_bdry_nodes[:, urel])))
1/0

logger.debug("_find_src_unit_nodes_via_gauss_newton: done, "
"final residual: %g", max_resid)
return src_unit_nodes
Expand Down