diff --git a/sumpy/expansion/__init__.py b/sumpy/expansion/__init__.py
index 79bc9cb8e79139f4b2470d4b88c69018992ca7f7..df39c7661f8b382f328e429ee0c84f9c94f6b759 100644
--- a/sumpy/expansion/__init__.py
+++ b/sumpy/expansion/__init__.py
@@ -24,7 +24,6 @@ import logging
from pytools import memoize_method
import sumpy.symbolic as sym
from sumpy.tools import add_mi
-from .diff_op import make_identity_diff_op, laplacian
from typing import List, Tuple
__doc__ = """
@@ -275,7 +274,7 @@ class ExpansionTermsWrangler:
# to which it is orthogonal to and the constant `c` described above
hyperplanes = []
if isinstance(self, LinearPDEBasedExpansionTermsWrangler):
- pde_dict, = self.get_pde_as_diff_op().eqs
+ pde_dict, = self.knl.get_pde_as_diff_op().eqs
if not all(ident.mi in mi_to_index for ident in pde_dict):
# The order of the expansion is less than the order of the PDE.
@@ -406,18 +405,18 @@ class CSEMatVecOperator:
class LinearPDEBasedExpansionTermsWrangler(ExpansionTermsWrangler):
"""
.. automethod:: __init__
- .. automethod:: get_pde_as_diff_op
"""
init_arg_names = ("order", "dim", "max_mi")
- def __init__(self, order, dim, max_mi=None):
+ def __init__(self, order, dim, knl, max_mi=None):
r"""
:param order: order of the expansion
:param dim: number of dimensions
+ :param knl: kernel for the PDE
"""
- super().__init__(order, dim,
- max_mi)
+ super().__init__(order, dim, max_mi)
+ self.knl = knl
def get_coefficient_identifiers(self):
return self.stored_identifiers
@@ -443,14 +442,6 @@ class LinearPDEBasedExpansionTermsWrangler(ExpansionTermsWrangler):
stored_identifiers, _ = self.get_stored_ids_and_unscaled_projection_matrix()
return stored_identifiers
- def get_pde_as_diff_op(self):
- r"""
- Returns the PDE as a :class:`sumpy.expansion.diff_op.LinearPDESystemOperator`
- object `L` where `L(u) = 0` is the PDE.
- """
-
- raise NotImplementedError
-
@memoize_method
def get_stored_ids_and_unscaled_projection_matrix(self):
from pytools import ProcessLogger
@@ -460,7 +451,7 @@ class LinearPDEBasedExpansionTermsWrangler(ExpansionTermsWrangler):
coeff_ident_enumerate_dict = {tuple(mi): i for
(i, mi) in enumerate(mis)}
- diff_op = self.get_pde_as_diff_op()
+ diff_op = self.knl.get_pde_as_diff_op()
assert len(diff_op.eqs) == 1
pde_dict = {k.mi: v for k, v in diff_op.eqs[0].items()}
for ident in pde_dict.keys():
@@ -582,46 +573,6 @@ class LinearPDEBasedExpansionTermsWrangler(ExpansionTermsWrangler):
projection_with_rscale, shape)
-class LaplaceExpansionTermsWrangler(LinearPDEBasedExpansionTermsWrangler):
-
- init_arg_names = ("order", "dim", "max_mi")
-
- def __init__(self, order, dim, max_mi=None):
- super().__init__(order=order, dim=dim,
- max_mi=max_mi)
-
- def get_pde_as_diff_op(self):
- w = make_identity_diff_op(self.dim)
- return laplacian(w)
-
-
-class HelmholtzExpansionTermsWrangler(LinearPDEBasedExpansionTermsWrangler):
-
- init_arg_names = ("order", "dim", "helmholtz_k_name", "max_mi")
-
- def __init__(self, order, dim, helmholtz_k_name, max_mi=None):
- self.helmholtz_k_name = helmholtz_k_name
- super().__init__(order=order, dim=dim,
- max_mi=max_mi)
-
- def get_pde_as_diff_op(self, **kwargs):
- w = make_identity_diff_op(self.dim)
- k = sym.Symbol(self.helmholtz_k_name)
- return (laplacian(w) + k**2 * w)
-
-
-class BiharmonicExpansionTermsWrangler(LinearPDEBasedExpansionTermsWrangler):
-
- init_arg_names = ("order", "dim", "max_mi")
-
- def __init__(self, order, dim, max_mi=None):
- super().__init__(order=order, dim=dim,
- max_mi=max_mi)
-
- def get_pde_as_diff_op(self, **kwargs):
- w = make_identity_diff_op(self.dim)
- return laplacian(laplacian(w))
-
# }}}
@@ -678,36 +629,19 @@ class VolumeTaylorExpansion(VolumeTaylorExpansionBase):
self.expansion_terms_wrangler_key = (order, kernel.dim)
-class LaplaceConformingVolumeTaylorExpansion(VolumeTaylorExpansionBase):
-
- expansion_terms_wrangler_class = LaplaceExpansionTermsWrangler
- expansion_terms_wrangler_cache = {}
-
- # not user-facing, be strict about having to pass use_rscale
- def __init__(self, kernel, order, use_rscale):
- self.expansion_terms_wrangler_key = (order, kernel.dim)
-
-
-class HelmholtzConformingVolumeTaylorExpansion(VolumeTaylorExpansionBase):
+class LinearPDEConformingVolumeTaylorExpansion(VolumeTaylorExpansionBase):
- expansion_terms_wrangler_class = HelmholtzExpansionTermsWrangler
+ expansion_terms_wrangler_class = LinearPDEBasedExpansionTermsWrangler
expansion_terms_wrangler_cache = {}
# not user-facing, be strict about having to pass use_rscale
def __init__(self, kernel, order, use_rscale):
- helmholtz_k_name = kernel.get_base_kernel().helmholtz_k_name
- self.expansion_terms_wrangler_key = (order, kernel.dim, helmholtz_k_name)
-
-
-class BiharmonicConformingVolumeTaylorExpansion(VolumeTaylorExpansionBase):
-
- expansion_terms_wrangler_class = BiharmonicExpansionTermsWrangler
- expansion_terms_wrangler_cache = {}
+ self.expansion_terms_wrangler_key = (order, kernel.dim, kernel)
- # not user-facing, be strict about having to pass use_rscale
- def __init__(self, kernel, order, use_rscale):
- self.expansion_terms_wrangler_key = (order, kernel.dim)
+LaplaceConformingVolumeTaylorExpansion = LinearPDEConformingVolumeTaylorExpansion
+HelmholtzConformingVolumeTaylorExpansion = LinearPDEConformingVolumeTaylorExpansion
+BiharmonicConformingVolumeTaylorExpansion = LinearPDEConformingVolumeTaylorExpansion
# }}}
@@ -757,13 +691,10 @@ class DefaultExpansionFactory(ExpansionFactoryBase):
def get_local_expansion_class(self, base_kernel):
"""Returns a subclass of :class:`ExpansionBase` suitable for *base_kernel*.
"""
- from sumpy.kernel import (HelmholtzKernel, LaplaceKernel, YukawaKernel,
- BiharmonicKernel, StokesletKernel, StressletKernel)
+ from sumpy.kernel import (HelmholtzKernel, YukawaKernel)
from sumpy.expansion.local import (H2DLocalExpansion, Y2DLocalExpansion,
- HelmholtzConformingVolumeTaylorLocalExpansion,
- LaplaceConformingVolumeTaylorLocalExpansion,
- BiharmonicConformingVolumeTaylorLocalExpansion,
+ LinearPDEConformingVolumeTaylorLocalExpansion,
VolumeTaylorLocalExpansion)
if (isinstance(base_kernel.get_base_kernel(), HelmholtzKernel)
@@ -772,27 +703,20 @@ class DefaultExpansionFactory(ExpansionFactoryBase):
elif (isinstance(base_kernel.get_base_kernel(), YukawaKernel)
and base_kernel.dim == 2):
return Y2DLocalExpansion
- elif isinstance(base_kernel.get_base_kernel(), HelmholtzKernel):
- return HelmholtzConformingVolumeTaylorLocalExpansion
- elif isinstance(base_kernel.get_base_kernel(), LaplaceKernel):
- return LaplaceConformingVolumeTaylorLocalExpansion
- elif isinstance(base_kernel.get_base_kernel(),
- (BiharmonicKernel, StokesletKernel, StressletKernel)):
- return BiharmonicConformingVolumeTaylorLocalExpansion
- else:
+ try:
+ base_kernel.get_base_kernel().get_pde_as_diff_op()
+ return LinearPDEConformingVolumeTaylorLocalExpansion
+ except NotImplementedError:
return VolumeTaylorLocalExpansion
def get_multipole_expansion_class(self, base_kernel):
"""Returns a subclass of :class:`ExpansionBase` suitable for *base_kernel*.
"""
- from sumpy.kernel import (HelmholtzKernel, LaplaceKernel, YukawaKernel,
- BiharmonicKernel, StokesletKernel, StressletKernel)
+ from sumpy.kernel import (HelmholtzKernel, YukawaKernel)
from sumpy.expansion.multipole import (H2DMultipoleExpansion,
Y2DMultipoleExpansion,
- LaplaceConformingVolumeTaylorMultipoleExpansion,
- HelmholtzConformingVolumeTaylorMultipoleExpansion,
- BiharmonicConformingVolumeTaylorMultipoleExpansion,
+ LinearPDEConformingVolumeTaylorMultipoleExpansion,
VolumeTaylorMultipoleExpansion)
if (isinstance(base_kernel.get_base_kernel(), HelmholtzKernel)
@@ -801,14 +725,10 @@ class DefaultExpansionFactory(ExpansionFactoryBase):
elif (isinstance(base_kernel.get_base_kernel(), YukawaKernel)
and base_kernel.dim == 2):
return Y2DMultipoleExpansion
- elif isinstance(base_kernel.get_base_kernel(), LaplaceKernel):
- return LaplaceConformingVolumeTaylorMultipoleExpansion
- elif isinstance(base_kernel.get_base_kernel(), HelmholtzKernel):
- return HelmholtzConformingVolumeTaylorMultipoleExpansion
- elif isinstance(base_kernel.get_base_kernel(),
- (BiharmonicKernel, StokesletKernel, StressletKernel)):
- return BiharmonicConformingVolumeTaylorMultipoleExpansion
- else:
+ try:
+ base_kernel.get_base_kernel().get_pde_as_diff_op()
+ return LinearPDEConformingVolumeTaylorMultipoleExpansion
+ except NotImplementedError:
return VolumeTaylorMultipoleExpansion
# }}}
diff --git a/sumpy/expansion/local.py b/sumpy/expansion/local.py
index e6e16d2ae83162ec9f0266afd053e4dede73920e..59c945ab019cf856048269fb398e9ea9d8099991 100644
--- a/sumpy/expansion/local.py
+++ b/sumpy/expansion/local.py
@@ -24,9 +24,7 @@ import sumpy.symbolic as sym
from sumpy.tools import add_to_sac
from sumpy.expansion import (
- ExpansionBase, VolumeTaylorExpansion, LaplaceConformingVolumeTaylorExpansion,
- HelmholtzConformingVolumeTaylorExpansion,
- BiharmonicConformingVolumeTaylorExpansion)
+ ExpansionBase, VolumeTaylorExpansion, LinearPDEConformingVolumeTaylorExpansion)
from sumpy.tools import mi_increment_axis
from pytools import single_valued
@@ -405,34 +403,22 @@ class VolumeTaylorLocalExpansion(
VolumeTaylorExpansion.__init__(self, kernel, order, use_rscale)
-class LaplaceConformingVolumeTaylorLocalExpansion(
- LaplaceConformingVolumeTaylorExpansion,
+class LinearPDEConformingVolumeTaylorLocalExpansion(
+ LinearPDEConformingVolumeTaylorExpansion,
VolumeTaylorLocalExpansionBase):
def __init__(self, kernel, order, use_rscale=None):
VolumeTaylorLocalExpansionBase.__init__(self, kernel, order, use_rscale)
- LaplaceConformingVolumeTaylorExpansion.__init__(
+ LinearPDEConformingVolumeTaylorExpansion.__init__(
self, kernel, order, use_rscale)
-class HelmholtzConformingVolumeTaylorLocalExpansion(
- HelmholtzConformingVolumeTaylorExpansion,
- VolumeTaylorLocalExpansionBase):
-
- def __init__(self, kernel, order, use_rscale=None):
- VolumeTaylorLocalExpansionBase.__init__(self, kernel, order, use_rscale)
- HelmholtzConformingVolumeTaylorExpansion.__init__(
- self, kernel, order, use_rscale)
-
-
-class BiharmonicConformingVolumeTaylorLocalExpansion(
- BiharmonicConformingVolumeTaylorExpansion,
- VolumeTaylorLocalExpansionBase):
-
- def __init__(self, kernel, order, use_rscale=None):
- VolumeTaylorLocalExpansionBase.__init__(self, kernel, order, use_rscale)
- BiharmonicConformingVolumeTaylorExpansion.__init__(
- self, kernel, order, use_rscale)
+LaplaceConformingVolumeTaylorLocalExpansion = \
+ LinearPDEConformingVolumeTaylorLocalExpansion
+HelmholtzConformingVolumeTaylorLocalExpansion = \
+ LinearPDEConformingVolumeTaylorLocalExpansion
+BiharmonicConformingVolumeTaylorLocalExpansion = \
+ LinearPDEConformingVolumeTaylorLocalExpansion
# }}}
diff --git a/sumpy/expansion/multipole.py b/sumpy/expansion/multipole.py
index b9b1a07700b1019d18ea06b2613cd9acca4f251c..957aec905530b270b631319eb2c0d923b9614b53 100644
--- a/sumpy/expansion/multipole.py
+++ b/sumpy/expansion/multipole.py
@@ -23,9 +23,7 @@ THE SOFTWARE.
import sumpy.symbolic as sym # noqa
from sumpy.expansion import (
- ExpansionBase, VolumeTaylorExpansion, LaplaceConformingVolumeTaylorExpansion,
- HelmholtzConformingVolumeTaylorExpansion,
- BiharmonicConformingVolumeTaylorExpansion)
+ ExpansionBase, VolumeTaylorExpansion, LinearPDEConformingVolumeTaylorExpansion)
from pytools import factorial
from sumpy.tools import mi_set_axis, add_to_sac
@@ -346,34 +344,22 @@ class VolumeTaylorMultipoleExpansion(
VolumeTaylorExpansion.__init__(self, kernel, order, use_rscale)
-class LaplaceConformingVolumeTaylorMultipoleExpansion(
- LaplaceConformingVolumeTaylorExpansion,
+class LinearPDEConformingVolumeTaylorMultipoleExpansion(
+ LinearPDEConformingVolumeTaylorExpansion,
VolumeTaylorMultipoleExpansionBase):
def __init__(self, kernel, order, use_rscale=None):
VolumeTaylorMultipoleExpansionBase.__init__(self, kernel, order, use_rscale)
- LaplaceConformingVolumeTaylorExpansion.__init__(
+ LinearPDEConformingVolumeTaylorExpansion.__init__(
self, kernel, order, use_rscale)
-class HelmholtzConformingVolumeTaylorMultipoleExpansion(
- HelmholtzConformingVolumeTaylorExpansion,
- VolumeTaylorMultipoleExpansionBase):
-
- def __init__(self, kernel, order, use_rscale=None):
- VolumeTaylorMultipoleExpansionBase.__init__(self, kernel, order, use_rscale)
- HelmholtzConformingVolumeTaylorExpansion.__init__(
- self, kernel, order, use_rscale)
-
-
-class BiharmonicConformingVolumeTaylorMultipoleExpansion(
- BiharmonicConformingVolumeTaylorExpansion,
- VolumeTaylorMultipoleExpansionBase):
-
- def __init__(self, kernel, order, use_rscale=None):
- VolumeTaylorMultipoleExpansionBase.__init__(self, kernel, order, use_rscale)
- BiharmonicConformingVolumeTaylorExpansion.__init__(
- self, kernel, order, use_rscale)
+LaplaceConformingVolumeTaylorMultipoleExpansion = \
+ LinearPDEConformingVolumeTaylorMultipoleExpansion
+HelmholtzConformingVolumeTaylorMultipoleExpansion = \
+ LinearPDEConformingVolumeTaylorMultipoleExpansion
+BiharmonicConformingVolumeTaylorMultipoleExpansion = \
+ LinearPDEConformingVolumeTaylorMultipoleExpansion
# }}}
diff --git a/sumpy/kernel.py b/sumpy/kernel.py
index 7d1233604f5559b55605c3d48fb0110467e5fbdd..6f16b2cfade81d0d78672328a5abef55cd65c83b 100644
--- a/sumpy/kernel.py
+++ b/sumpy/kernel.py
@@ -25,6 +25,7 @@ import loopy as lp
import numpy as np
from pymbolic.mapper import IdentityMapper, CSECachingMapperMixin
from sumpy.symbolic import pymbolic_real_norm_2
+import sumpy.symbolic as sym
from pymbolic.primitives import make_sym_vector
from pymbolic import var
from collections import defaultdict
@@ -375,6 +376,14 @@ class ExpressionKernel(Kernel):
from sumpy.tools import ExprDerivativeTaker
return ExprDerivativeTaker(self.get_expression(dvec), dvec, rscale, sac)
+ def get_pde_as_diff_op(self):
+ r"""
+ Returns the PDE for the kernel as a
+ :class:`sumpy.expansion.diff_op.LinearPDESystemOperator` object `L`
+ where `L(u) = 0` is the PDE.
+ """
+ raise NotImplementedError
+
one_kernel_2d = ExpressionKernel(
dim=2,
@@ -427,6 +436,11 @@ class LaplaceKernel(ExpressionKernel):
from sumpy.tools import LaplaceDerivativeTaker
return LaplaceDerivativeTaker(self.get_expression(dvec), dvec, rscale, sac)
+ def get_pde_as_diff_op(self):
+ from sumpy.expansion.diff_op import make_identity_diff_op, laplacian
+ w = make_identity_diff_op(self.dim)
+ return laplacian(w)
+
class BiharmonicKernel(ExpressionKernel):
init_arg_names = ("dim",)
@@ -471,6 +485,11 @@ class BiharmonicKernel(ExpressionKernel):
return RadialDerivativeTaker(self.get_expression(dvec), dvec, rscale,
sac)
+ def get_pde_as_diff_op(self):
+ from sumpy.expansion.diff_op import make_identity_diff_op, laplacian
+ w = make_identity_diff_op(self.dim)
+ return laplacian(laplacian(w))
+
class HelmholtzKernel(ExpressionKernel):
init_arg_names = ("dim", "helmholtz_k_name", "allow_evanescent")
@@ -548,6 +567,13 @@ class HelmholtzKernel(ExpressionKernel):
from sumpy.tools import HelmholtzDerivativeTaker
return HelmholtzDerivativeTaker(self.get_expression(dvec), dvec, rscale, sac)
+ def get_pde_as_diff_op(self):
+ from sumpy.expansion.diff_op import make_identity_diff_op, laplacian
+
+ w = make_identity_diff_op(self.dim)
+ k = sym.Symbol(self.helmholtz_k_name)
+ return (laplacian(w) + k**2 * w)
+
class YukawaKernel(ExpressionKernel):
init_arg_names = ("dim", "yukawa_lambda_name")
@@ -629,6 +655,12 @@ class YukawaKernel(ExpressionKernel):
from sumpy.tools import HelmholtzDerivativeTaker
return HelmholtzDerivativeTaker(self.get_expression(dvec), dvec, rscale, sac)
+ def get_pde_as_diff_op(self):
+ from sumpy.expansion.diff_op import make_identity_diff_op, laplacian
+ w = make_identity_diff_op(self.dim)
+ lam = sym.Symbol(self.yukawa_lambda_name)
+ return (laplacian(w) - lam**2 * w)
+
class StokesletKernel(ExpressionKernel):
init_arg_names = ("dim", "icomp", "jcomp", "viscosity_mu_name")
@@ -696,6 +728,11 @@ class StokesletKernel(ExpressionKernel):
mapper_method = "map_stokeslet_kernel"
+ def get_pde_as_diff_op(self):
+ from sumpy.expansion.diff_op import make_identity_diff_op, laplacian
+ w = make_identity_diff_op(self.dim)
+ return laplacian(laplacian(w))
+
class StressletKernel(ExpressionKernel):
init_arg_names = ("dim", "icomp", "jcomp", "kcomp", "viscosity_mu_name")
@@ -765,6 +802,11 @@ class StressletKernel(ExpressionKernel):
mapper_method = "map_stresslet_kernel"
+ def get_pde_as_diff_op(self):
+ from sumpy.expansion.diff_op import make_identity_diff_op, laplacian
+ w = make_identity_diff_op(self.dim)
+ return laplacian(laplacian(w))
+
# }}}