Zobrazeno 1 - 10
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pro vyhledávání: '"Josef Dalík"'
Autor:
Josef Dalík
Publikováno v:
Applied Numerical Mathematics. 67:89-97
Assume that T"h is a conforming regular triangulation without obtuse angles of a bounded polygonal domain @W@?@?^2. For an arbitrary unit vector z and an inner or so-called semi-inner vertex a, the method of reduced averaging for the approximation of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::277cf3cff1c6d03377b8da2bf0dd1c27
https://doi.org/10.1016/j.apnum.2011.06.006
https://doi.org/10.1016/j.apnum.2011.06.006
Autor:
Josef Dalík
Publikováno v:
Applications of Mathematics. 57:445-462
A reference triangular quadratic Lagrange finite element consists of a right triangle \(\hat K\) with unit legs S1, S2, a local space \(\hat L\) of quadratic polynomials on \(\hat K\) and of parameters relating the values in the vertices and midpoint
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1912d1c198320b47f2828ff7959be8c
https://doi.org/10.1007/s10492-012-0026-7
https://doi.org/10.1007/s10492-012-0026-7
Autor:
Josef Dalík
Publikováno v:
Open Mathematics, Vol 10, Iss 1, Pp 44-54 (2012)
A straightforward generalization of a classical method of averaging is presented and its essential characteristics are discussed. The method constructs high-order approximations of the l-th partial derivatives of smooth functions u in inner vertices
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43e7769f284dffa287148ade96e4bf60
https://doi.org/10.2478/s11533-011-0107-y
https://doi.org/10.2478/s11533-011-0107-y
Autor:
Josef Dalík
Publikováno v:
Numerische Mathematik. 116:619-644
For a shape-regular triangulation $${\mathcal{T}_h}$$ without obtuse angles of a bounded polygonal domain $${\Omega\subset\Re^2}$$, let $${\mathcal L_h}$$ be the space of continuous functions linear on the triangles from $${\mathcal{T}_h}$$ and Πh t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::769018bdf0d34482821fa6e507d78bde
https://doi.org/10.1007/s00211-010-0316-5
https://doi.org/10.1007/s00211-010-0316-5
Autor:
Josef Dalík
Publikováno v:
Mathematica Bohemica. 135:363-372
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c0f68351d8c5c34850151f4eb927c6e
https://doi.org/10.21136/mb.2010.140827
https://doi.org/10.21136/mb.2010.140827
Autor:
Josef Dalík
Publikováno v:
Applications of Mathematics. 53:547-560
We study the problem of Lagrange interpolation of functions of two variables by quadratic polynomials under the condition that nodes of interpolation are vertices of a triangulation. For an extensive class of triangulations we prove that every inner
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e0548a66a49a6d16aae156fd41e1ac3
https://doi.org/10.1007/s10492-008-0041-x
https://doi.org/10.1007/s10492-008-0041-x
Publikováno v:
Applications of Mathematics. 45:3-17
The Kiessl model of moisture and heat transfer in generally nonhomogeneous porous materials is analyzed. A weak formulation of the problem of propagation of the state parameters of this model, which are so-called moisture potential and temperature, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b69cafc2cec4160ea04af0f74955e059
https://doi.org/10.1023/a:1022232632054
https://doi.org/10.1023/a:1022232632054
Autor:
Josef Dalík, Vaclav Valenta
Publikováno v:
Open Mathematics, Vol 11, Iss 4, Pp 597-608 (2013)
An averaging method for the second-order approximation of the values of the gradient of an arbitrary smooth function u = u(x 1, x 2) at the vertices of a regular triangulation T h composed both of rectangles and triangles is presented. The method ass
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94113eafce4de12d2b965b8298013616
https://doi.org/10.2478/s11533-012-0159-7
https://doi.org/10.2478/s11533-012-0159-7
Autor:
Josef Dalík, Helena Růžičková
Publikováno v:
Applications of Mathematics. 40:367-380
We describe a numerical method for the equation $u_t + pu_x - \varepsilon u_{xx} = f$ in $(0,1) \times (0,T)$ with Dirichlet boundary and initial conditions which is a combination of the method of characteristics and the finite-difference method. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88b03300c9af5a76a8f39765baeb5414
https://doi.org/10.21136/am.1995.134300
https://doi.org/10.21136/am.1995.134300