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Conforming Finite Element Methods for PDEs
Published in Dr Arzhang Angoshtari, Ali Gerami Matin, Finite Element Methods in Civil and Mechanical Engineering, 2020
Dr Arzhang Angoshtari, Ali Gerami Matin
In FEniCS, unknowns of weak formulations are TrialFunction objects and solutions are Function objects. In the mathematical statement (4.53), these concepts are the same and are denoted by uh. After defining the bilinear form A, we do not need u_h as a TrialFunction object anymore. To be consistent with (4.53), we reused the variable name u_h and redefine it as a Function object to store the solution. Given the weak formulation A == F, the function object u_h, and the boundary condition BC, the function solve computes the finite element solution and stores it in u_h. Finally, the L2- and H1-errors are calculated by using errornorm and the results together with the mesh size mesh.hmax() are returned.
Interbus
Published in Richard Zurawski, Industrial Communication Technology Handbook, 2017
The FDCML device model is made up of the following basic elements: Device identity objectDevice manager objectDevice function objectApplication process object
Linear Systems Analysis
Published in Harold Klee, Randal Allen, Simulation of Dynamic Systems with MATLAB® and Simulink®, 2018
There is also a function called “d2c” for converting a discrete-time transfer function previously created as an object “sysd” to an equivalent continuous-time transfer function object “sysc.” The syntax is “SYSC = D2C(SYSD,METHOD)” where the second argument is a string signifying the method of approximation.
Parallel algorithms for reducing derivation time of distinguishing experiments for nondeterministic finite state machines
Published in International Journal of Parallel, Emergent and Distributed Systems, 2018
Khaled El-Fakih, Gerassimos Barlas, Mustafa Ali, Nina Yevtushenko
GPUThrust: Thrust is a C++ template library that works at a higher level that CUDA. All one has to do is describe the operation that needs to be performed as a special function known as a functor (basically a function object). The functor is then applied to all the elements of a container automatically. This is equivalent to having a single GPU thread per ordered pair of states as in the GPUCUDA case.