Teilprojekt A11: Gemischte Formulierungen: adaptive anisotrope finite Element und parallele Löser
ZIELSTELLUNG:
-
Aufgabenklassen
:
- Stokes-Problem (2D, 3D)
- Reissner-Mindlin-Problem (2D)
- Implementierung:
- Effektive Lösungsstrategien
- Adaptive anisotrope Netzsteuerung
- Paralleles Programm: effektive Kommunikation, dynamische Lastbalancierung
- Kooperation mit A3, A12, A13, B8, B9, D1
- Theoritische Begründungen:
PUBLIKATIONEN:
- Thomas Apel, Serge Nicaise, Joachim Schöberl:
A non-conforming finite element method with
anisotropic mesh grading for the Stokes problem in domains with edges.
IMA J. Num. Anal.
21(2001)4,
843-856.
[description |
preprint |
published version ]
-
Randrianarivony H. Maharavo:
Stability of mixed finite element
methods with anisotropic meshes.
MSc thesis
( PDF
, 4319k)
, TU Chemnitz, April 2001
-
Randrianarivony H. Maharavo:
Strengthened Cauchy inequality in anisotropic meshes and application to an a-posteriori error estimator for the Stokes problem.
Preprint SFB393/01-23,
September 2001
( PostScript
, 666k)
- Thomas Apel, H. Maharavo Randrianarivony:
Stability of discretizations of the Stokes problem
on anisotropic meshes.
Mathematics and Computers in Simulation 61(2003), 437-447.
[preprint:
ps.gz
pdf ]
- Emmanuel Creusé, Gerd Kunert, Serge Nicaise:
A posteriori error estimation for the Stokes problem:
Anisotropic and isotropic discretizations.
Preprint 03-01, January 2003
gzipped PostScript (215k),
PostScript (701k),
PDF (428k)
Alexander Smuglyakov