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pro vyhledávání: '"Ham, David"'
In this work, we introduce a new algorithm for N-to-M checkpointing in finite element simulations. This new algorithm allows efficient saving/loading of functions representing physical quantities associated with the mesh representing the physical dom
Externí odkaz:
http://arxiv.org/abs/2401.05868
When estimating quantities and fields that are difficult to measure directly, such as the fluidity of ice, from point data sources, such as satellite altimetry, it is important to solve a numerical inverse problem that is formulated with Bayesian con
Externí odkaz:
http://arxiv.org/abs/2304.06058
Autor:
Bouziani, Nacime, Ham, David A.
Partial differential equations (PDEs) are central to describing and modelling complex physical systems that arise in many disciplines across science and engineering. However, in many realistic applications PDE modelling provides an incomplete descrip
Externí odkaz:
http://arxiv.org/abs/2303.06871
Autor:
Bouziani, Nacime, Ham, David A.
High level domain specific languages for the finite element method underpin high productivity programming environments for simulations based on partial differential equations (PDE) while employing automatic code generation to achieve high performance
Externí odkaz:
http://arxiv.org/abs/2111.00945
Autor:
Crum, Justin, Cheng, Cyrus, Ham, David A., Mitchell, Lawrence, Kirby, Robert C., Levine, Joshua A., Gillette, Andrew
Publikováno v:
ACM Transactions on Mathematical Software 48(1):8:1-8:19 (2022)
We present an implementation of the trimmed serendipity finite element family, using the open source finite element package Firedrake. The new elements can be used seamlessly within the software suite for problems requiring $H^1$, \hcurl, or \hdiv-co
Externí odkaz:
http://arxiv.org/abs/2104.12986
Creating scalable, high performance PDE-based simulations requires a suitable combination of discretizations, differential operators, preconditioners and solvers. The required combination changes with the application and with the available hardware,
Externí odkaz:
http://arxiv.org/abs/2104.08012
Autor:
Ham, David A.
This white paper highlights current limitations in the algebraic closure Unified Form Language (UFL). UFL currently represents forms over finite element spaces, however finite element problems naturally result in objects in the dual to a finite eleme
Externí odkaz:
http://arxiv.org/abs/2101.05158
Akademický článek
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Autor:
Sun, Tianjiao, Mitchell, Lawrence, Kulkarni, Kaushik, Klöckner, Andreas, Ham, David A., Kelly, Paul H. J.
Publikováno v:
International Journal of High Performance Computing Applications (2020)
Vectorization is increasingly important to achieve high performance on modern hardware with SIMD instructions. Assembly of matrices and vectors in the finite element method, which is characterized by iterating a local assembly kernel over unstructure
Externí odkaz:
http://arxiv.org/abs/1903.08243
Publikováno v:
Structural and Multidisciplinary Optimization 60:1813-1820 (2019)
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (Aln{\ae}s et al., ACM Trans. Math. Softw., 2014) by introducing an appropriate additional step in the pullback from physical to reference space that compute
Externí odkaz:
http://arxiv.org/abs/1808.08083