6 research outputs found
An overlapping splitting double sweep method for the Helmholtz equation
We consider the domain decomposition method approach to solve the Helmholtz
equation. Double sweep based approaches for overlapping decompositions are
presented. In particular, we introduce an overlapping splitting double sweep
(OSDS) method valid for any type of interface boundary conditions. Despite the
fact that first order interface boundary conditions are used, the OSDS method
demonstrates good stability properties with respect to the number of subdomains
and the frequency even for heterogeneous media. In this context, convergence is
improved when compared to the double sweep methods in Nataf et al. (1997) and
Vion et al. (2014, 2016} for all of our test cases: waveguide, open cavity and
wedge problems
OP2/PyOP2: Framework for performance-portable parallel computations on unstructured meshes
<p>This release is specifically created to document the version of
PyOP2 used in a particular set of experiments using
Firedrake. Please do not cite this as a general source for Firedrake
or any of its dependencies. Instead, refer to
https://www.firedrakeproject.org/citing.html</p>
firedrakeproject/firedrake: an automated finite element system
<p>This release is specifically created to document the version of
firedrake used in a particular set of experiments using
Firedrake. Please do not cite this as a general source for Firedrake
or any of its dependencies. Instead, refer to
https://www.firedrakeproject.org/citing.html</p>
firedrakeproject/ufl: The Unified Form Language
<p>This release is specifically created to document the version of
ufl used in a particular set of experiments using
Firedrake. Please do not cite this as a general source for Firedrake
or any of its dependencies. Instead, refer to
https://www.firedrakeproject.org/citing.html</p>