Parallel finite element splitting-up method for parabolic problems
Tai, X.-C., Neittaanmäki, P. (1991). Parallel finite element splitting-up method for parabolic problems. Numerical Methods for Partial Differential Equations, 7 (3), 209-225. doi:10.1002/num.1690070302
Published inNumerical Methods for Partial Differential Equations
An efficient method for solving parabolic systems is presented. The proposed method is based on the splitting‐up principle in which the problem is reduced to a series of independent 1D problems. This enables it to be used with parallel processors. We can solve multidimensional problems by applying only the 1D method and consequently avoid the difficulties in constructing a finite element space for multidimensional problems. The method is suitable for general domains as well as rectangular domains. Every 1D subproblem is solved by applying cubic B‐splines. Several numerical examples are presented.
MetadataShow full item record
Showing items with similar title or keywords.
Tai, Xue-Cheng; Neittaanmäki, Pekka (University of Jyväskylä, 1989)
Neittaanmäki, Pekka; Picard, Rainer (Pergamon Press, 1981)The time harmonic acoustic boundary value problem in a smooth, bounded domain G of R2 is considered as a first order system. The optimal asymptotic L2(G) and H1(G)-error estimates 0(h2) and 0(h) resp. are derived for a ...
Křižek, Michal; Neittaanmäki, Pekka; Vondrák, Miroslav (Sociedade Brasileira de Matemática Aplicada e Computacional, 1992)We present a new variational formulation of a second order order elliptic problem with the Neumann boundary conditions. This formulation does not require any quotient spaces and is advisable for finite element approximations.
Hämäläinen, Joonas (Jyväskylän yliopisto, 2018)Clustering or cluster analysis is an essential part of data mining, machine learning, and pattern recognition. The most popularly applied clustering methods are partitioning-based or prototype-based methods. Prototype-based ...
Marinov, Corneliu A.; Neittaanmäki, Pekka (Wiley, 1990)