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The Element-Free Galerkin Method is applied to the study of the electrostatic behavior of a biomolecule inside a ionic solvent. The aim is the solution of the linearized Poisson-Boltzmann equation. The numerical results put in evidence the capability of the approach in approximating the steep gradients of the electrostatic potential arising in the molecular region.
The multiconductor transmission line capacitance matrix for a densely-packed CNT bundle interconnect is computed by moment method solving the 2-D integral electrostatic problem in the transverse plane. The equivalent single conductor (ESC) capacitance is then evaluated self-consistently.
Nowadays software developments aim on managed code that organizes the memory occupation itself automatically by using the runtime environment. Hence, this is supposed to be very time intensive but simplifies the implementation in an immense way. Therefore, Java is used to determine the advantages and disadvantages of managed code in numerical simulations. In a first step a 3-D electrostatic FEM formulation...
In this paper, a technique for combination of fast moving least square reproducing kernel method (FMLSRKM) which is a kind of meshfree methods and finite element method (FEM). Point collocation scheme is used for FMSLRKM. Combined method is tested using 2D electrostatic problem.
This paper investigates the electrostatic interactions between organic scaffolds and the transmembrane proteins involved in cell adhesion. The analysis is performed through the solution of the linearized Poisson-Boltzmann equation by means of the Boundary Element Method. The electrostatic energy is evaluated varying the relative position of the interacting molecules and the properties of the solvent.
This paper extends an iterative method to efficiently solve the global algebraic system of equations obtained by applying the hybrid FEM-BEM method to cases in which the field is due to charge distributions only, that is, when conductors with assigned potential (Dirichlet conditions) are not present. In the proposed approach, a conjugate gradient solver is used to solve the singular FEM equations,...
This paper compares the hybrid FEM-BEM and FEM-DBCI methods for the solution of open-boundary electrostatic field problems. Both methods couple a differential equation for the interior problem with an integral equation for the exterior one. The comparison shows that FEM-BEM is more accurate than FEM-DBCI but requires more computing time.
This paper describes a new family of axisymmetric nodal boundary elements to be used in the hybrid FE-BE method to deal with unbounded static and quasi-static electromagnetic field problems. The scalar field is developed by means of classical polynomial shape functions of a given order, whereas its normal derivative is developed with lower-order shape functions.
This work presents a stochastic approach to model the pull-in voltage in a MEMS (Micro Electro Mechanical Systems) beam structure, using Monte Carlo (MC) simulations. The pull-in model is a coupled FEM (Finite Element Method) electrostatic and analytical mechanical model. The shape and material properties of the MEMS constitute the random variables for the MC simulations. The results allow finding...
This paper investigates the scalability of a parallel fast multipole accelerated boundary integral equation method in electrostatic field analyses. A load balancing technique suitable for highly parallel computation with 100 or more processes is also proposed. Numerical results clarify the effectiveness of the developed method in practical models with complicated geometry.
An adaptive parabolic-elliptic time-integration method based on a singly diagonal implicit Runge-Kutta (SDIRK) algorithm is described for the finite element (FE) solution of nonlinear electroquasistatic (EQS) problems. The method uses the nodal charges as dynamic variables in addition to the electric scalar potential, thereby achieving better stability and performance than methods based on the scalar...
A simple and convenient method to deal with floating conductors in electrostatic field when using finite element method (FEM) is presented. A method to extract capacitance matrix that includes the effect of floating conductors inside the solution domain is also put forward. The merits are that the computing time can be reduced; and users only need to set up the capacitance extraction on the ports...
Today's low cost hardware developments allow for a parallelization of intensive computation processes over several selectable CPU cores by using Intel's OpenMP library. But if one applies this feature to a numerical simulation based on a boundary element method (BEM), there is still a huge bottle neck - the shared memory of such a system. So, if a low cost hardware should be effectively used for large...
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