Some a posteriori error estimators for elliptic partial differential equations
نویسندگان
چکیده
منابع مشابه
Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
We present three new a posteriori error estimators in the energy norm for finite element solutions to elliptic partial differential equations. The estimators are based on solving local Neumann problems in each element. The estimators differ in how they enforce consistency of the Neumann problems. We prove that as the mesh size decreases, under suitable assumptions, two of the error estimators a...
متن کاملA Posteriori Error Estimation for Elliptic Partial Differential Equations
These lecture notes comprise the talks of the author on “A posteriori error estimates for modelling errors” and on “A posteriori error estimates for highly indefinite problems” given at the Zürich Summerschool 2012. 1 Lecture 1: Combined A Posteriori Modeling Discretization Error Estimate for Elliptic Problems with Complicated Interfaces Remark. This part of the lecture notes is a slightly exte...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
A posteriori error estimations for elliptic partial differential equations with small uncertainties
In this paper, a finite element error analysis is performed on a class of linear and nonlinear elliptic problems with small uncertain input. Using a perturbation approach, the exact (random) solution is expanded up to a certain order with respect to a parameter that controls the amount of randomness in the input and discretized by finite elements. We start by studying a diffusion (linear) model...
متن کاملReduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations
In this paper we consider (hierarchical, Lagrange) reduced basis approximation and a posteriori error estimation for linear functional outputs of affinely parametrized elliptic coercive partial differential equations. The essential ingredients are (primal-dual) Galerkin projection onto a low-dimensional space associated with a smooth “parametric manifold” — dimension reduction; efficient and ef...
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: Mathematics of Computation
سال: 1985
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1985-0777265-x