Publication
Parallel algorithms and efficient implementation techniques for finite element approximations
Related publications (80)
On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems
The finite element method is a well-established method for the numerical solution of partial differential equations (PDEs), both linear and nonlinear. However, the repeated re -assemblage of finite element matrices for nonlinear PDEs is frequently pointed ...
ELSEVIER SCIENCE INC2023GEAR-RT: Towards Exa-Scale Moment Based Radiative Transfer For Cosmological Simulations Using Task-Based Parallelism And Dynamic Sub-Cycling with SWIFT
Numerical simulations have become an indispensable tool in astrophysics and cosmology. The constant need for higher accuracy, higher resolutions, and models ofever-increasing sophistication and complexity drives the development of modern toolswhich target ...
EPFL2023Conservation of Forces and Total Work at the Interface Using the Internodes Method
The Internodes method is a general purpose method to deal with non-conforming discretizations of partial differential equations on 2D and 3D regions partitioned into disjoint subdomains. In this paper we are interested in measuring how much the Internodes ...
2022Adaptive analysis-aware defeaturing
Annalisa Buffa, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon
Removing geometrical details from a complex domain is a classical operation in computer aided design for simulation and manufacturing. This procedure simplifies the meshing process, and it enables faster simulations with less memory requirements. But depen ...
2022High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics
This paper develops high-order accurate entropy stable (ES) adaptive moving mesh finite difference schemes for the two- and three-dimensional special relativistic hydrodynamic (RHD) and magnetohydrodynamic (RMHD) equations, which is the high-order accurate ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022STEPS 4.0: Fast and memory-efficient molecular simulations of neurons at the nanoscale
James Gonzalo King, Pramod Shivaji Kumbhar, Iain Hepburn, Weiliang Chen, Tristan Mathieu Carel, Alessandro Cattabiani, Nicola Cantarutti, Omar Awile, Christos Kotsalos, Samuel Marie A Melchior, Baudouin Paul Michel Maria Joseph Del Marmol, Giacomo Castiglioni
Recent advances in computational neuroscience have demonstrated the usefulness and importance of stochastic, spatial reaction-diffusion simulations. However, ever increasing model complexity renders traditional serial solvers, as well as naive parallel imp ...
FRONTIERS MEDIA SA2022Efficient algorithms for wave problems
Wave phenomena manifest in nature as electromagnetic waves, acoustic waves, and gravitational waves among others.Their descriptions as partial differential equations in electromagnetics, acoustics, and fluid dynamics are ubiquitous in science and engineeri ...
EPFL2021Numerical Methods for First and Second Order Fully Nonlinear Partial Differential Equations
This thesis focuses on the numerical analysis of partial differential equations (PDEs) with an emphasis on first and second-order fully nonlinear PDEs. The main goal is the design of numerical methods to solve a variety of equations such as orthogonal maps ...
EPFL2021Novel corrector problems with exponential decay of the resonance error for numerical homogenization
Multiscale problems, such as modelling flows through porous media or predicting the mechanical properties of composite materials, are of great interest in many scientific areas. Analytical models describing these phenomena are rarely available, and one mus ...
EPFL2020Task scheduling for highly concurrent analytical and transaction workloads
Anastasia Ailamaki, Iraklis Psaroudakis
Systems and method for a task scheduler with dynamic adjustment of concurrency levels and task granularity are disclosed for improved execution of highly concurrent analytical and transactional systems. The task scheduler can avoid both over commitment and ...
2020