def initialize(self,evaluation_points):
accuracy_options = _bempplib.createAccuracyOptions()
accuracy_options.doubleRegular.setRelativeQuadratureOrder(self._relative_regular_quadrature_order)
accuracy_options.doubleSingular.setRelativeQuadratureOrder(self._relative_singular_quadrature_order)
accuracy_options.singleRegular.setRelativeQuadratureOrder(self._relative_regular_quadrature_order)
assembly_options = _bempplib.createAssemblyOptions()
assembly_options.setVerbosityLevel('low')
if self._use_aca:
aca_options = _bempplib.createAcaOptions()
aca_options.maximumBlockSize = 2000
aca_options.maximumRank = 100
aca_options.eps = self._aca_epsilon
assembly_options.switchToAca(aca_options)
quad_strategy = _bempplib.createNumericalQuadratureStrategy("float64","complex128",accuracy_options)
self._quad_strategy = quad_strategy
self._context = _bempplib.createContext(quad_strategy,assembly_options)
pconsts = _bempplib.createPiecewiseConstantScalarSpace(self._context,self._mesh)
self._spaces = [pconsts,pconsts,pconsts]
self._mass_matrix = _bempplib.createIdentityOperator(self._context,pconsts,pconsts,pconsts).weakForm()
self._boundary_operator_cache = _tools.OperatorCache(self._operator_cache_tol)
self._potential_operator_cache = _tools.OperatorCache(self._operator_cache_tol)
self._residuals = {}
self._evaluation_points = evaluation_points
def evaluate_potential(self,wavenumber,density):
from bempp import lib as bempplib
op_found_in_cache = False
if self._use_cache:
try:
potential = self._potential_operator_cache.get(wavenumber)
op_found_in_cache = True
except:
pass
if not op_found_in_cache:
evalOps = _bempplib.createEvaluationOptions()
#evalOps.setVerbosityLevel('low')
acaOps = _bempplib.createAcaOptions()
acaOps.eps = self._aca_epsilon
evalOps.switchToAcaMode(acaOps)
potential = _bempplib.createModifiedHelmholtz3dDoubleLayerPotentialOperator(self._context,wavenumber).assemble(self._spaces[0],
self._evaluation_points,
self._quad_strategy,
evalOps).discreteOperator()
if self._use_cache: self._potential_operator_cache.insert(wavenumber,potential)
n = len(density[0])
return (potential*density[0].reshape(n,1)).ravel()
def initialize_context():
accuracyOptions = lib.createAccuracyOptions()
accuracyOptions.doubleRegular.setRelativeQuadratureOrder(2)
accuracyOptions.doubleSingular.setRelativeQuadratureOrder(1)
quadStrategy = lib.createNumericalQuadratureStrategy("float64","complex128",accuracyOptions)
options = lib.createAssemblyOptions()
options.setVerbosityLevel("low")
aca_ops = lib.createAcaOptions()
aca_ops.eps=1E-6
options.switchToAcaMode(aca_ops)
context = lib.createContext(quadStrategy,options)
return context
def initialize_context():
accuracyOptions = lib.createAccuracyOptions()
accuracyOptions.doubleRegular.setRelativeQuadratureOrder(2)
accuracyOptions.doubleSingular.setRelativeQuadratureOrder(1)
quadStrategy = lib.createNumericalQuadratureStrategy(
"float64", "complex128", accuracyOptions)
options = lib.createAssemblyOptions()
options.setVerbosityLevel("low")
aca_ops = lib.createAcaOptions()
aca_ops.eps = 1E-6
options.switchToAcaMode(aca_ops)
context = lib.createContext(quadStrategy, options)
return context
# integrals, 1 order higher than default.
accuracyOptions = lib.createAccuracyOptions()
accuracyOptions.doubleRegular.setRelativeQuadratureOrder(2)
accuracyOptions.doubleSingular.setRelativeQuadratureOrder(1)
# The default strategy for numerical quadrature.
# "float64" is the basis function type and "complex128" is the result type".
quadStrategy = lib.createNumericalQuadratureStrategy(
"float64", "complex128", accuracyOptions)
# Use ACA to accelerate the assembly
options = lib.createAssemblyOptions()
options.switchToAca(lib.createAcaOptions())
# The context object combines these settings
context = lib.createContext(quadStrategy, options)
# Load a grid approximating a unit sphere
grid_factory = lib.createGridFactory()
grid = grid_factory.importGmshGrid(
"triangular", "../../meshes/sphere-h-0.1.msh")
# Create a space of piecewise constant basis functions over the grid.
pwiseConstants = lib.createPiecewiseConstantScalarSpace(context, grid)
os.remove(s3_geo_name)
os.remove(s1_msh_name)
os.remove(s2_msh_name)
os.remove(s3_msh_name)
# Create Context
accuracy_options = blib.createAccuracyOptions()
accuracy_options.doubleRegular.setRelativeQuadratureOrder(
2) # 2 orders higher than default accuracy for regular integrals
accuracy_options.doubleSingular.setRelativeQuadratureOrder(
1) # 1 order higher than default accuracy for singular integrals
strategy = blib.createNumericalQuadratureStrategy("float64", "complex128",
accuracy_options)
options = blib.createAssemblyOptions()
aca_options = blib.createAcaOptions()
aca_options.eps = 1E-5
options.switchToAca(aca_options)
context = blib.createContext(strategy, options)
# Create the spaces
sphere1_plc = blib.createPiecewiseLinearContinuousScalarSpace(context, sphere1)
sphere2_plc = blib.createPiecewiseLinearContinuousScalarSpace(context, sphere2)
sphere3_plc = blib.createPiecewiseLinearContinuousScalarSpace(context, sphere3)
# Now create the operators
slp11 = blib.createModifiedHelmholtz3dSingleLayerBoundaryOperator(
context, sphere1_plc, sphere1_plc, sphere1_plc, w1)
dlp11 = blib.createModifiedHelmholtz3dDoubleLayerBoundaryOperator(
context, sphere1_plc, sphere1_plc, sphere1_plc, w1)
os.remove(s1_geo_name)
os.remove(s2_geo_name)
os.remove(s3_geo_name)
os.remove(s1_msh_name)
os.remove(s2_msh_name)
os.remove(s3_msh_name)
# Create Context
accuracy_options = blib.createAccuracyOptions()
accuracy_options.doubleRegular.setRelativeQuadratureOrder(2) # 2 orders higher than default accuracy for regular integrals
accuracy_options.doubleSingular.setRelativeQuadratureOrder(1) # 1 order higher than default accuracy for singular integrals
strategy = blib.createNumericalQuadratureStrategy("float64", "complex128", accuracy_options)
options = blib.createAssemblyOptions()
aca_options = blib.createAcaOptions()
aca_options.eps=1E-5
options.switchToAca(aca_options)
context = blib.createContext(strategy, options)
# Create the spaces
sphere1_plc = blib.createPiecewiseLinearContinuousScalarSpace(context,sphere1)
sphere2_plc = blib.createPiecewiseLinearContinuousScalarSpace(context,sphere2)
sphere3_plc = blib.createPiecewiseLinearContinuousScalarSpace(context,sphere3)
# Now create the operators
slp11 = blib.createModifiedHelmholtz3dSingleLayerBoundaryOperator(context,sphere1_plc,sphere1_plc,sphere1_plc,w1)
dlp11 = blib.createModifiedHelmholtz3dDoubleLayerBoundaryOperator(context,sphere1_plc,sphere1_plc,sphere1_plc,w1)
id11 = blib.createIdentityOperator(context,sphere1_plc,sphere1_plc,sphere1_plc)
from bempp.lib import *
import numpy as np
import bempp.lib as lib
import scipy.special as sc
import numpy.polynomial.legendre as leg
import time
accuracyOptions = lib.createAccuracyOptions()
accuracyOptions.doubleRegular.setRelativeQuadratureOrder(2)
accuracyOptions.singleRegular.setRelativeQuadratureOrder(2)
quadStrategy = lib.createNumericalQuadratureStrategy("float64", "complex128",
accuracyOptions)
options = lib.createAssemblyOptions()
options.switchToAca(lib.createAcaOptions())
context = lib.createContext(quadStrategy, options)
grid = lib.createGridFactory().importGmshGrid("triangular", "airplane.msh")
pconsts = lib.createPiecewiseConstantScalarSpace(context, grid)
k = 16
#k = 64; #16; #0.16
# ansatz: direction of incident plane wave: assume x here
lhsOp = lib.createHelmholtz3dSingleLayerBoundaryOperator(
context, pconsts, pconsts, pconsts, k, "SLP")
# Create a grid function representing the Dirichlet trace of the incident wave
def uIncData(point):
def create_bempp_options(solver_use_aca = True,
evaluation_use_aca = True,
solver_aca_epsilon = 1E-6,
solver_aca_maximum_rank = 200,
solver_aca_maximum_block_size = 2000,
solver_aca_mode = 'hybrid_assembly',
solver_aca_eta = 1.2,
evaluation_aca_epsilon = 1E-3,
evaluation_aca_eta = 0.4,
evaluation_aca_maximum_rank = 30,
evaluation_aca_maximum_block_size = 2000,
evaluation_aca_mode = 'global_assembly',
relative_double_singular_quadrature_order = 2,
relative_double_regular_quadrature_order = 1,
relative_single_regular_quadrature_order = 1,
verbosity_level = 'low',
basis_function_type = 'float64',
result_type = 'complex128',
number_of_threads = None
):
solver_assembly_options = _bempplib.createAssemblyOptions()
if number_of_threads is not None:
solver_assembly_options.setMaxThreadCount(number_of_threads)
solver_assembly_options.setVerbosityLevel(verbosity_level)
if solver_use_aca:
solver_aca_options = _bempplib.createAcaOptions()
solver_aca_options.mode = solver_aca_mode
solver_aca_options.eps = solver_aca_epsilon
solver_aca_options.eta = solver_aca_eta
solver_aca_options.maximumBlockSize = solver_aca_maximum_block_size
solver_aca_options.maximumRank = solver_aca_maximum_rank
solver_assembly_options.switchToAca(solver_aca_options)
solver_accuracy_options = _bempplib.createAccuracyOptions()
solver_accuracy_options.doubleRegular.setRelativeQuadratureOrder(relative_double_regular_quadrature_order)
solver_accuracy_options.doubleSingular.setRelativeQuadratureOrder(relative_double_singular_quadrature_order)
quadrature_strategy = _bempplib.createNumericalQuadratureStrategy(basis_function_type,result_type,solver_accuracy_options)
context = _bempplib.createContext(quadrature_strategy,solver_assembly_options)
evaluation_options = _bempplib.createEvaluationOptions()
evaluation_accuracy_options = _bempplib.createAccuracyOptions()
evaluation_accuracy_options.singleRegular.setRelativeQuadratureOrder(relative_single_regular_quadrature_order)
evaluation_quadrature_strategy = _bempplib.createNumericalQuadratureStrategy(basis_function_type,result_type,evaluation_accuracy_options)
if evaluation_use_aca:
evaluation_aca_options = _bempplib.createAcaOptions()
evaluation_aca_options.eps = evaluation_aca_epsilon
evaluation_aca_options.eta = evaluation_aca_eta
evaluation_aca_options.mode = evaluation_aca_mode
evaluation_aca_options.maximumBlockSize = evaluation_aca_maximum_block_size
evaluation_aca_options.maximumRank = evaluation_aca_maximum_rank
evaluation_options.switchToAcaMode(evaluation_aca_options)
return (context,evaluation_options,evaluation_quadrature_strategy)