Existence, Uniqueness, and a Comparison of Nonintrusive Methods for the Stochastic Nonlinear Poisson-Boltzmann Equation

Clemens Heitzinger; Michael Leumuller; Gudmund PammerStefan Rigger

首页> 外文期刊>SIAM/ASA Journal on Uncertainty Quantification >Existence, Uniqueness, and a Comparison of Nonintrusive Methods for the Stochastic Nonlinear Poisson-Boltzmann Equation

【24h】

Existence, Uniqueness, and a Comparison of Nonintrusive Methods for the Stochastic Nonlinear Poisson-Boltzmann Equation

机译：的存在性,唯一性和比较不干扰随机非线性的方法Poisson-Boltzmann方程

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The stochastic nonlinear Poisson-Boltzmann equation describes the electrostatic potential in a random environment in the presence of free charges and has applications in many fields. We show the existence and uniqueness of the solution of this nonlinear model equation and investigate its regularity with respect to a random parameter. Three popular nonintrusive methods, a stochastic Galerkin method, a discrete projection method, and a collocation method, are presented for its numerical solution. It is nonintrusive in the sense that solvers and preconditioners for the deterministic equation can be reused as they are. By comparing these methods, it is found that the stochastic Galerkin method and the discrete projection method require comparable computational effort and our results suggest that they outperform the collocation method.

机译：随机非线性Poisson-Boltzmann方程描述的静电势随机环境中自由的存在指控,并应用在许多领域。显示解决方案的存在性和唯一性这个非线性模型方程和调查其规律对随机的参数。随机有限元离散,一个离散的投影方法,和搭配方法,其数值解。解决和预调节器确定性方程可以重用他们是这样的。随机有限元离散和离散投影法要求比较计算的努力和我们的研究结果表明,他们表现的搭配方法。

著录项

来源
《SIAM/ASA Journal on Uncertainty Quantification》 |2018年第3期|1019-1042|共24页
作者
Clemens Heitzinger; Michael Leumuller; Gudmund PammerStefan Rigger;
展开▼
作者单位

Department of Mathematics, University of Vienna, Vienna, Austria 1090;

Institute of Analysis and Scientific Computing, TU Wien, Vienna, Austria, 1040;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类 739B0936;
关键词
Boltzmann equation; uniqueness; SolversELECTROSTATIC POTENTIALStochasticprojection methodDifferential equationscollocationGalerkin method;

机译：波尔兹曼方程;独特性;SolversELECTROSTATICPOTENTIALStochasticprojection methodDifferentialequationscollocationGalerkin方法;

相似文献

外文文献
中文文献
专利

1. 一类非线性反应扩散方程的隐–显多步有限元方法 Implicit-Explicit Multistep Finite Element Methods for Some Nonlinear Reaction-Diffusion Equations [J] . Pure Mathematics . 2012,第2期

机译：一类非线性反应扩散方程的隐–显多步有限元方法 Implicit-Explicit Multistep Finite Element Methods for Some Nonlinear Reaction-Diffusion Equations
2. 耦合非线性抛物方程组的H1-Galerkin混合元方法 H1-Galerkin Mixed Element Method for the Coupling Nonlinear Parabolic Partial Equations [J] . Pure Mathematics . 2011,第1期

机译：耦合非线性抛物方程组的H1-Galerkin混合元方法 H1-Galerkin Mixed Element Method for the Coupling Nonlinear Parabolic Partial Equations
3. 伪抛物型方程非局部问题解的爆破性 The Blow up Property of Solutions for Some Pseudoprabolic Equations with Nonlinear Nonlocal Source [J] . Pure Mathematics . 2011,第1期

机译：伪抛物型方程非局部问题解的爆破性 The Blow up Property of Solutions for Some Pseudoprabolic Equations with Nonlinear Nonlocal Source
4. 一类非线性随机系统的迭代学习控制（Iterative Learning Control for a Class of Nonlinear Stochastic Systems） [C] . Chinese Control Conference vol.2; 20040810-13; Wuxi(CN) . 2004

机译：一类非线性随机系统的迭代学习控制（Iterative Learning Control for a Class of Nonlinear Stochastic Systems）
5. Approximate Methods for Nonlinear Stochastic Control Processes (非線型及び線型制御研究会報告集) [O] . SUNAHARA YOSHIFUMI 1968

机译：Approximate Methods for Nonlinear Stochastic Control Processes (非线型及び线型制御研究会报告集)

Existence, Uniqueness, and a Comparison of Nonintrusive Methods for the Stochastic Nonlinear Poisson-Boltzmann Equation

摘要

著录项

相似文献

相关主题

期刊订阅