Errata to “Approximation classes for adaptive higher order finite element approximation”

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Approximation classes for adaptive higher order finite element approximation

The following small mistakes where found in [GM] and the corresponding corrections should be introduced: • Statement of Proposition 2.1 (page 2129); statement of Theorem 2.2 (page 2130): replace s+ α ≤ r + 1 τ∗ by s+ α < r + 1. • Second line of Section 4.2 (page 2142), replace s < r+ max{1, 1 p} = r+ 1 p∗ by s < r + 1. • Remark 4.8 (page 2143): Replace s < r′ + max{1, 1 p} by s < r ′ + 1. • Rem...

متن کامل

Optimal order finite element approximation for a hyperbolic‎ ‎integro-differential equation

‎Semidiscrete finite element approximation of a hyperbolic type‎ ‎integro-differential equation is studied. The model problem is‎ ‎treated as the wave equation which is perturbed with a memory term.‎ ‎Stability estimates are obtained for a slightly more general problem.‎ ‎These, based on energy method, are used to prove optimal order‎ ‎a priori error estimates.‎

متن کامل

optimal order finite element approximation for a hyperbolic‎ ‎integro-differential equation

‎semidiscrete finite element approximation of a hyperbolic type‎ ‎integro-differential equation is studied. the model problem is‎ ‎treated as the wave equation which is perturbed with a memory term.‎ ‎stability estimates are obtained for a slightly more general problem.‎ ‎these, based on energy method, are used to prove optimal order‎ ‎a priori error estimates.‎

متن کامل

Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems

In this paper, sharp a posteriori error estimators are derived for a class of distributed elliptic optimal control problems. These error estimators are shown to be useful in adaptive finite element approximation for the optimal control problems and are implemented in the adaptive approach. Our numerical results indicate that the sharp error estimators work satisfactorily in guiding the mesh adj...

متن کامل

Finite element approximation of fractional order elliptic boundary value problems

A finite element numerical method is investigated for fractional order elliptic boundary value problems with homogeneous Dirichlet type boundary conditions. It is pointed out that an appropriate stiffness matrix can be obtained by taking the prescribed fractional power of the stiffness matrix corresponding to the non-fractional elliptic operators. It is proved that this approach, which is also ...

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

ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 2016

ISSN: 0025-5718,1088-6842

DOI: 10.1090/mcom/3243