An interpolation-based fast multipole method for higher-order boundary elements on parametric surfaces
نویسندگان
چکیده
منابع مشابه
An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann-Based Molecular Electrostatics
In order to compute polarization energy of biomolecules, we describe a boundary element approach to solving the linearized Poisson-Boltzmann equation. Our approach combines several important features including the derivative boundary formulation of the problem and a smooth approximation of the molecular surface based on the algebraic spline molecular surface. State of the art software for numer...
متن کاملEfficient and Accurate Higher-order Fast Multipole Boundary Element Method for Poisson Boltzmann Electrostatics
The Poisson-Boltzmann equation is a partial differential equation that describes the electrostatic behavior of molecules in ionic solutions. Significant efforts have been devoted to accurate and efficient computation for solving this equation. In this paper, we developed a boundary element framework based on the linear time fast multipole method for solving the linearized PoissonBoltzmann equat...
متن کاملFast Multipole Accelerated Indirect Boundary Elements for the Helmholtz Equation
The indirect boundary element method for the Helmholtz equation in three dimensions is of great interest and practical value for many problems in acoustics as it is capable of treating infinitely thin plates and allows coupling of interior and exterior scattering problems. In the present paper we provide a new approach for treatment of boundary integrals, including hypersingular, singular, and ...
متن کاملFourier Based Fast Multipole Method for The
The fast multipole method (FMM) has had great success in reducing the computa4 tional complexity of solving the boundary integral form of the Helmholtz equation. We present a 5 formulation of the Helmholtz FMM that uses Fourier basis functions rather than spherical harmonics. 6 By modifying the transfer function in the precomputation stage of the FMM, time-critical stages of 7 the algorithm are...
متن کاملThe fast multipole method for the symmetric boundary integral formulation
A symmetric Galerkin boundary-element method is used for the solution of boundary-value problems with mixed boundary conditions of Dirichlet and Neumann type. As a model problem we consider the Laplace equation. When an iterative scheme is employed for solving the resulting linear system, the discrete boundary integral operators are realized by the fast multipole method. While the single-layer ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2016
ISSN: 0029-5981
DOI: 10.1002/nme.5274