Galerkin and weighted Galerkin methods for a forward-backward heat equation |
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Authors: | Hao Lu |
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Institution: | (1) Department of Mathematics, University of Nijmegen, Toernooiveld, 6525 ED Nijmegen, The Netherlands; e-mail na.hlu@na-net.ornl.gov, NL |
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Abstract: | Summary. Galerkin and weighted Galerkin methods are proposed for the numerical solution of parabolic partial differential equations
where the diffusion coefficient takes different signs. The approach is based on a simultaneous discretization of space and
time variables by using continuous finite element methods. Under some simple assumptions, error estimates and some numerical
results for both Galerkin and weighted Galerkin methods are presented. Comparisons with the previous methods show that new
methods not only can be used to solve a wider class of equations but also require less regularity for the solution and need
fewer computations.
Received March 3, 1995 |
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Keywords: | Mathematics Subject Classification (1991):65N30 35K20 |
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