Keywords
- Linear Homogeneous Equation
- Data Error Estimate
- Yield Error Bound
- Nonsmooth Data Error Estimate
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References
G.A. Baker, J.H. Bramble and V. Thomée, Single step Galerkin approximations for parabolic problems. Math. Comp. 31 (1977), 818–847.
J. Blair, Approximate solution of elliptic and parabolic boundary value problems, Thesis, Univ. of California, Berkeley, 1970.
J.H. Bramble, A.H. Schatz, V. Thomée and L.B. Wahlbin, Some convergence estimates for semilinear Galerkin type approximations for parabolic equations. SIAM J. Numer. Anal. 14 (1977), 218–241.
M. Crouzeix and V. Thomée, On the discretization in time of semilinear parabolic equations with non-smooth initial data. To appear.
H.P. Helfrich, Fehlerabschätzungen für das Galerkinverfahren zur Lösung von Evolutionsgleichungen. Manuscr. Math. 13 (1974), 219–235.
C. Johnson, S. Larsson, V. Thomée and L.B. Wahlbin, Error estimates for semidiscrete approximations of semilinear parabolic equations with non-smooth data. To appear.
V. Thomée, Galerkin Finite Element Methods for Parabolic Problems. Lecture Notes in Mathematics no. 1054, Springer-Verlag, 1984.
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© 1986 Equadiff 6 and Springer-Verlag
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Thomée, V. (1986). Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076091
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DOI: https://doi.org/10.1007/BFb0076091
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