Difference Schemes for Elliptic Equations with Mixed Derivatives

Verfasser / Beitragende:
Matus, Piotr; Rybak, Irina
Ort, Verlag, Jahr:
2004
Enthalten in:
Computational Methods in Applied Mathematics, 4/4(2004), 494-505
Format:
Artikel (online)
ID: 378936719
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024 7 0 |a 10.2478/cmam-2004-0027  |2 doi 
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245 0 0 |a Difference Schemes for Elliptic Equations with Mixed Derivatives  |h [Elektronische Daten] 
520 3 |a In this paper, the a priori estimates of stability in the energy and the uniform norms are proved for the monotone and conservative difference schemes approximating elliptic equations with mixed derivatives. The estimates are obtained without any assumption about the symmetry of the coe±cient matrix of the initial differential equation. 
540 |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. 
690 7 |a elliptic equation  |2 nationallicence 
690 7 |a mixed derivative  |2 nationallicence 
690 7 |a difference scheme  |2 nationallicence 
690 7 |a stability  |2 nationallicence 
690 7 |a method of energy inequalities  |2 nationallicence 
690 7 |a maximum principle  |2 nationallicence 
700 1 |a Matus  |D Piotr  |u Department of Mathematics, Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin, Poland. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. 
700 1 |a Rybak  |D Irina  |u Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Matus  |D Piotr  |u Department of Mathematics, Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin, Poland. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Rybak  |D Irina  |u Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 4/4(2004), 494-505  |x 1609-4840  |q 4:4<494  |1 2004  |2 4  |o cmam 
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