A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems
نویسندگان
چکیده
منابع مشابه
A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems
Abstract. We consider second order explicit and implicit two-step time-discrete schemes for wave-type equations. We derive optimal order a posteriori estimates controlling the time discretization error. Our analysis has been motivated by the need to provide a posteriori estimates for the popular leap-frog method (also known as Verlet’s method in the molecular dynamics literature); it is extende...
متن کاملA Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
A residual type a posteriori error estimator is presented and analyzed for Weak Galerkin finite element methods for second order elliptic problems. The error estimator is proved to be efficient and reliable through two estimates, one from below and the other from above, in terms of an H1-equivalent norm for the exact error. Two numerical experiments are conducted to demonstrate the effectivenes...
متن کاملA Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
Several a posteriori error estimators are introduced and analyzed for a discontinuous Galerkin formulation of a model second-order elliptic problem. In addition to residual-type estimators, we introduce some estimators that are couched in the ideas and techniques of domain decomposition. Results of numerical experiments are presented.
متن کاملA posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles
The a posteriori error analysis of conforming finite element discretisations of the biharmonic problem for plates is well established, but nonconforming discretisations are more easy to implement in practice. The a posteriori error analysis for the Morley plate element appears very particular because two edge contributions from an integration by parts vanish simultaneously. This miracle does no...
متن کاملA-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems
Using the weighted residual formulation we derive a-posteriori estimates for Discontinuous Galerkin approximations of second order elliptic problems in mixed form. We show that our approach allows to include in a unified way all the methods presented so far in the literature.
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: SIAM Journal on Numerical Analysis
سال: 2016
ISSN: 0036-1429,1095-7170
DOI: 10.1137/140996318