24 citations · 24 across the 2 of their papers we have counts for
3 papers
math.NA2014★ 24 cited
A posteriori error estimates for leap-frog and cosine methods for second order evolution problems
Emmanuil H. Georgoulis, Omar Lakkis, Charalambos Makridakis +1
We consider second order explicit and implicit two-step time-discrete schemes for wave-type equations. We derive optimal order aposteriori estimates controlling the time discretiza…
math.NA2013
Adaptive discontinuous Galerkin approximations to fourth order parabolic problems
Emmanuil H. Georgoulis, Juha M. Virtanen
An adaptive algorithm, based on residual type a posteriori indicators of errors measured in and norms, for a numerical scheme consisting of implicit Eu…
math.NA2008
A posteriori error control for discontinuous Galerkin methods for parabolic problems
Emmanuil H. Georgoulis, Omar Lakkis, Juha M. Virtanen
We derive energy-norm a posteriori error bounds for an Euler time-stepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems. For ac…