A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems

Younis Abid Sabawi

doi:10.21123/bsj.2021.18.3.0522

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Publication Date

Wed Sep 01 2021

Journal Name

Baghdad Science Journal

Volume

18

Issue Number

3

DOI

10.21123/bsj.2021.18.3.0522

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A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems

A posteriori error estimates

Discontinuous Galerkin methods

Interface semilinear parabolic problems.

Younis Abid Sabawi

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The aim of this paper is to derive a posteriori error estimates for semilinear parabolic interface problems. More specifically, optimal order a posteriori error analysis in the - norm for semidiscrete semilinear parabolic interface problems is derived by using elliptic reconstruction technique introduced by Makridakis and Nochetto in (2003). A key idea for this technique is the use of error estimators derived for elliptic interface problems to obtain parabolic estimators that are of optimal order in space and time.

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Publication Date

Sun Dec 07 2014

Journal Name

Baghdad Science Journal

Synthesis, Characterization and Stability Study of V(IV), Zr(IV), Rh(III), Pd(II), Cd(II) and Hg(II) Complexes with Pyrazol Derivative

In this work lactone (1) was prepared from the reaction of p-nitro phenyl hydrazine with ethylacetoacetate

which upon treatment with benzoyl chloride afforded the lactame (2). The reaction of (2) with 2-amino phenol produced a new Schiff base (L) in good yield. Complexes of V(IV)

Zr(IV)

Rh(III)

Pd(II)

Cd(II) and Hg(II) with the new Schiff base (L) have been prepared. The compounds (1

2) were characterized by FT-IR and UV spectroscopy

as well as characterizing ligand (L) by the same techniques with elemental analysis (C.H.N) and (1H-NMR). The prepared complexes were identified and their structural geometries were suggested by using elemental analysis (C.H.N)

flame atomic absorption technique

FT-IR and UV-Vis spectroscopy

in addition to magnetic susceptibility and conductivity measurements. Metal to ligand [M:L] ratio was obtained for all complexes in ethanol using molar ratio method

which gave comparable results with those obtained for the solid complexes. As well as the appa

Sinan M.

Enaam M.

Maysoon A

Sarab M

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In this work lactone (1) was prepared from the reaction of p-nitro phenyl hydrazine with ethylacetoacetate, which upon treatment with benzoyl chloride afforded the lactame (2). The reaction of (2) with 2-amino phenol produced a new Schiff base (L) in good yield. Complexes of V(IV), Zr(IV), Rh(III), Pd(II), Cd(II) and Hg(II) with the new Schiff base (L) have been prepared. The compounds (1, 2) were characterized by FT-IR and UV spectroscopy, as well as characterizing ligand (L) by the same techniques with elemental analysis (C.H.N) and (1H-NMR). The prepared complexes were identified and their structural geometries were suggested by using elemental analysis (C.H.N), flame atomic absorption technique, FT-IR and UV-Vis spectroscopy, in additio

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