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Space-time adaptive h p -FEM: Methodology overview

Šolín, Pavel, Segeth, Karel, Doležel, Ivo (2008)

Programs and Algorithms of Numerical Mathematics

We present a new class of self-adaptive higher-order finite element methods ( h p -FEM) which are free of analytical error estimates and thus work equally well for virtually all PDE problems ranging from simple linear elliptic equations to complex time-dependent nonlinear multiphysics coupled problems. The methods do not contain any tuning parameters and work reliably with both low- and high-order finite elements. The methodology was used to solve various types of problems including thermoelasticity,...

Space-time decompositions via differential forms

Fecko, Marián (1998)

Proceedings of the 17th Winter School "Geometry and Physics"

The author presents a simple method (by using the standard theory of connections on principle bundles) of ( 3 + 1 ) -decomposition of the physical equations written in terms of differential forms on a 4-dimensional spacetime of general relativity, with respect to a general observer. Finally, the author suggests possible applications of such a decomposition to the Maxwell theory.

Special connections on smooth 3-web manifolds

Vanžurová, Alena (1996)

Proceedings of the 15th Winter School "Geometry and Physics"

For a three-web W of codimension n on a differentiable manifold M 2 n of dimension 2 n , the author studies the Chern connection and a family of parallelizing connections. The latter ones have a common property with the former: the web-distributions are parallel with respect to them.

Currently displaying 101 – 120 of 202