Parallel Processing of Analytical Poisson-boltzmann Using Higher Order Fem

ثبت نشده
چکیده

We focus on the efficient parallel processing of meshes from biomolecular data so that they can be subsequently used for FEM simulation. All mesh processing about refinements and coherent indexations are applied in parallel. The simplices of the mesh are needed for the application in FEM having higher polynomial degrees. For biomolecular data, the only inputs are the atom coordinates, the van der Waals radii and the probe radius. Our principal goal is to obtain data which are well balanced among the different processors. To corroborate the parallel mesh processing, we show some application to FEM simulation. For that, we consider the parallel FEM of the linearized PoissonBoltzmann problem. We compare the FEM numerical results with known theoretical prediction to validate the accuracy of the parallel implementation.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Electrostatic analysis of the charged surface in a solution via the finite element method: The Poisson-Boltzmann theory

Electrostatic potential as well as the local volume charge density are computed for a macromolecule by solving the Poisson-Boltzmann equation (PBE) using the finite element method (FEM). As a verification, our numerical results for a one dimensional PBE, which corresponds to an infinite-length macromolecule, are compared with the existing analytical solution and good agreement is found. As a ma...

متن کامل

Lattice Evolution Solution for the Nonlinear Poisson- Boltzmann Equation in Confined Domains

The lattice evolution method for solving the nonlinear Poisson-Boltzmann equation in confined domain is developed by introducing the second-order accurate Dirichlet and Neumann boundary implements, which are consistent with the non-slip model in lattice Boltzmann method for fluid flows. The lattice evolution method is validated by comparing with various analytical solutions and shows superior t...

متن کامل

Electrostatic Analysis of the Charged Surface in a Solution via the Finite Element Method: The Poisson- Boltzmann Theory

Electrostatic potential as well as the local volume charge density are computed for a macromolecule by solving the Poisson-Boltzmann equation (PBE) using the finite element method (FEM). As a verification, our numerical results for a one dimensional PBE, which corresponds to an infinite-length macromolecule, are compared with the existing analytical solution and good agreement is found. As a ma...

متن کامل

Parallel Higher-order Boundary Integral Electrostatics Computation on Molecular Surfaces with Curved Triangulation

In this paper,wepresent a parallel higher-order boundary integralmethod to solve the linear Poisson–Boltzmann (PB) equation. In our method, a well-posed boundary integral formulation is used to ensure the fast convergence of Krylov subspace linear solver such as GMRES. The molecular surfaces are first discretized with flat triangles and then converted to curved triangleswith the assistance of n...

متن کامل

2D Analytical Modeling of Magnetic Vector Potential in Surface Mounted and Surface Inset Permanent Magnet Machines

A 2D analytical method for magnetic vector potential calculation in inner rotor surface mounted and surface inset permanent magnet machines considering slotting effects, magnetization orientation and winding layout has been proposed in this paper. The analytical method is based on the resolution of Laplace and Poisson equations as well as Maxwell equation in quasi- Cartesian coordinate by using...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013