A posteriori error analysis for higher order dissipative methods for evolution problems
نویسندگان
چکیده
منابع مشابه
A posteriori error analysis for higher order dissipative methods for evolution problems
We prove a posteriori error estimates for time discretizations by the discontinuous Galerkin method dG(q) and the corresponding implicit RungeKutta-Radau method IRK-R(q) of arbitrary order q ≥ 0 for both linear and nonlinear evolution problems of the form u′ + F(u) = f , with γ-angle bounded operator F. The key ingredient is a novel higher order reconstruction Û of the discrete solution U , whi...
متن کاملA 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 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 Higher Order Godunov Finite Volume Methods on Unstructured Meshes
A posteriori error estimates for high order Godunov finite volume methods are presented which exploit the two solution representations inherent in the method, viz. as piecewise constants u0 and cellwise p-th order reconstructed functions R 0 pu0. Using standard duality arguments, we construct exact error representation formulas for derived functionals that are tailored to the class of high orde...
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: Numerische Mathematik
سال: 2006
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-006-0013-6