Galerkin-Type Approximations Which are Discontinuous in Time for Parabolic Equations in a Variable Domain.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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General linear parabolic equations are considered in a given time dependent domain and a general class of Galerkin-type approximations is considered which are continuous with respect to the space variables, but which admit discontinuities with respect to time at each time step. Unconditional stability is proved and a general error estimate is established. These results are applied to certain finite element methods based on space-time finite elements.
- Numerical Mathematics