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demos/patch/hcurl_riesz_star.py.rst

Lines changed: 15 additions & 15 deletions
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@@ -45,24 +45,24 @@ patches yield a robust method.::
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"ksp_type": "cg",
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"pc_type": "mg",
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"mg_levels": {
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"ksp_type": "chebyshev",
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"ksp_max_it": 1,
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**relax
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"ksp_type": "chebyshev",
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"ksp_max_it": 1,
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**relax
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},
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"mg_coarse": {
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"ksp_type": "preonly",
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"pc_type": "cholesky"
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"pc_type": "cholesky"
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}
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}
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def asm_params(construct_dim):
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return {
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"pc_type": "python",
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"pc_python_type": "firedrake.ASMStarPC",
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"pc_star_construct_dim": construct_dim,
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"pc_star_backend_type": "tinyasm"
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}
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"pc_type": "python",
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"pc_python_type": "firedrake.ASMStarPC",
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"pc_star_construct_dim": construct_dim,
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"pc_star_backend_type": "tinyasm"
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}
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Hiptmair proposed a finer space decomposition for Nedelec elements using edge
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patches and vertex patches on the gradient of a Lagrange space. The python type
@@ -72,10 +72,10 @@ using the auxiliary Lagrange space in a multigrid hierarchy. ::
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def hiptmair_params():
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return {
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"pc_type": "python",
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"pc_python_type": "firedrake.HiptmairPC",
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"hiptmair_mg_levels": asm_params(1),
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"hiptmair_mg_coarse": asm_params(0),
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"pc_type": "python",
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"pc_python_type": "firedrake.HiptmairPC",
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"hiptmair_mg_levels": asm_params(1),
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"hiptmair_mg_coarse": asm_params(0),
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}
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@@ -84,8 +84,8 @@ over a range of meshes. We see that the auxiliary space approach gives lower
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iteration counts than vertex patches, while being cheaper to invert.::
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names = {
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"Vertex Star": mg_params(asm_params(0)),
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"Hiptmair": mg_params(hiptmair_params()),
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"Vertex Star": mg_params(asm_params(0)),
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"Hiptmair": mg_params(hiptmair_params()),
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}
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for name, parameters in names.items():

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