Finite element solution of a hyperbolic-parabolic problem

Hlavička, Rudolf. "Finite element solution of a hyperbolic-parabolic problem." Applications of Mathematics 39.3 (1994): 215-239. <http://eudml.org/doc/32880>.

@article{Hlavička1994,
abstract = {Existence and finite element approximation of a hyperbolic-parabolic problem is studied. The original two-dimensional domain is approximated by a polygonal one (external approximations). The time discretization is obtained using Euler’s backward formula (Rothe’s method). Under certain smoothing assumptions on the data (see (2.6), (2.7)) the existence and uniqueness of the solution and the convergence of Rothe’s functions in the space $C(\overline\{I\},V)$ is proved.},
author = {Hlavička, Rudolf},
journal = {Applications of Mathematics},
keywords = {Rothe's method; finite elements.; Euler’s backward formula; linear parabolic or hyperbolic equations; convergence; Euler's backward formula; linear parabolic or hyperbolic equations; Rothe method; finite element; convergence},
language = {eng},
number = {3},
pages = {215-239},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Finite element solution of a hyperbolic-parabolic problem},
url = {http://eudml.org/doc/32880},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Hlavička, Rudolf
TI - Finite element solution of a hyperbolic-parabolic problem
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 3
SP - 215
EP - 239
AB - Existence and finite element approximation of a hyperbolic-parabolic problem is studied. The original two-dimensional domain is approximated by a polygonal one (external approximations). The time discretization is obtained using Euler’s backward formula (Rothe’s method). Under certain smoothing assumptions on the data (see (2.6), (2.7)) the existence and uniqueness of the solution and the convergence of Rothe’s functions in the space $C(\overline{I},V)$ is proved.
LA - eng
KW - Rothe's method; finite elements.; Euler’s backward formula; linear parabolic or hyperbolic equations; convergence; Euler's backward formula; linear parabolic or hyperbolic equations; Rothe method; finite element; convergence
UR - http://eudml.org/doc/32880
ER -