An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form
Optimal error estimates in L2, H1 and H2-norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by an H1-Galerkin procedure.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000413 |
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| _version_ | 1849304288358039552 |
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| author | A. K. Pani P. C. Das |
| author_facet | A. K. Pani P. C. Das |
| author_sort | A. K. Pani |
| collection | DOAJ |
| description | Optimal error estimates in L2, H1 and H2-norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by an H1-Galerkin procedure. |
| format | Article |
| id | doaj-art-19bfaed866cc4312957726c609543a9b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-19bfaed866cc4312957726c609543a9b2025-08-20T03:55:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110234536010.1155/S0161171287000413An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence formA. K. Pani0P. C. Das1Department of Mathematics, I.I.T., Kanpur 208016, IndiaDepartment of Mathematics, I.I.T., Kanpur 208016, IndiaOptimal error estimates in L2, H1 and H2-norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by an H1-Galerkin procedure.http://dx.doi.org/10.1155/S0161171287000413H1-Galerkin procedurefinite element approximationnonlinear Stefan problemnon-divergence formerror analysis. |
| spellingShingle | A. K. Pani P. C. Das An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form International Journal of Mathematics and Mathematical Sciences H1-Galerkin procedure finite element approximation nonlinear Stefan problem non-divergence form error analysis. |
| title | An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form |
| title_full | An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form |
| title_fullStr | An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form |
| title_full_unstemmed | An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form |
| title_short | An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form |
| title_sort | h1 galerkin method for a stefan problem with a quasilinear parabolic equation in non divergence form |
| topic | H1-Galerkin procedure finite element approximation nonlinear Stefan problem non-divergence form error analysis. |
| url | http://dx.doi.org/10.1155/S0161171287000413 |
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