Results 41 to 50 of about 289 (157)
Lower bounds of two-level additive Schwarz preconditioners with small overlap
, 1998 Summary. Lower bounds for the condition numbers of the preconditioned systems are obtained for two-level additive Schwarz preconditioners for both second order and fourth order problems.
Susanne C. Brenner
core
A non-overlapping domain decomposition method for the advection-diffusion problem
, 2000 The application of a non-overlapping domain decomposition method to the solution of a stabilized finite element method for elliptic boundary value problems is considered.
Otto, F. C., Lube, Gert, Mueller, L.
core +1 more source
A Basic Norm Equivalence for the Theory of Multilevel Methods.
, 1992 Subspace decompositions of finite element spaces based on $L2$-like orthogonal projections play an important role for the construction and analysis of multigrid like iterative methods.
Bornemann, Folkmar A., Yserentant, Harry
core +1 more source
Goal-oriented adaptive finite element methods with optimal computational complexity. [PDF]
Numer Math (Heidelb), 2023 Becker R +3 more
europepmc +1 more source
Physics OpenModeling cell invasion, vital for cancer and ecological research, demands efficient solutions to the Fisher–Kolmogorov–Petrovsky–Piskunov (Fisher–KPP) reaction–diffusion partial differential equation (PDE).
Parsa Rahbari +4 more
doaj +1 more source
© Hindawi Publishing Corp. L∞-ERROR ESTIMATE FOR A SYSTEM OF ELLIPTIC QUASIVARIATIONAL INEQUALITIES
, 2001 We deal with the numerical analysis of a system of elliptic quasivariational inequal-ities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involv-ing ...
M. Haiour, S. Saadi, M. Boulbrachene
core
Mathematical and Computer Modelling of Dynamical SystemsIn this study, we develop a novel hybrid numerical method based on the finite element method and finite difference method for solving the two-dimensional coupled Burgers’ equations.
Aysenur Busra Cakay, Selmahan Selim
doaj +1 more source
DUAL FUNCTIONS FOR A PARALLEL ADAPTIVE METHOD
, 2008 . In this paper, we investigate the effects of pollution error on the performance of the parallel adaptive finite element technique proposed by Bank and Holst in 2000.
Randolph E. Bank, S. Ovall, Jeffrey
core
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 Özet: Rijit yarı-düzlem üzerine oturmuş öngerilmeli şerit plağın zorlanmış titreşim probleminin üç boyutlu doğrusallaştırılmış elastodinamik teorisi çerçevesinde matematik formülasyonu verilmiştir.
Mustafa ERÖZ
doaj
Adaptive FEM and CIPFEM for a nonlinear Helmholtz equation with high wave number
European Journal of Applied MathematicsA nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM) and the continuous interior penalty finite element method (CIPFEM).
Run Jiang, Haijun Wu, Yifeng Xu, Jun Zou
doaj +1 more source